<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2021 Workiva-->
<!--r:68864b97-5b03-4902-abf4-b8ae489efa7f,g:f70061af-5bae-43be-8f90-2580a46b309b-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://lunainc.com/role/ConsolidatedBalanceSheets" xlink:type="simple" xlink:href="luna-20210630.xsd#ConsolidatedBalanceSheets"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/ConsolidatedBalanceSheets" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_e5b2c4a9-01ff-475e-90ef-ca7a4d6567c4" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_StockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_5a7d8a51-6e06-4f02-b830-460a78ebc2a8" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_CommonStockValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_e5b2c4a9-01ff-475e-90ef-ca7a4d6567c4" xlink:to="loc_us-gaap_CommonStockValue_5a7d8a51-6e06-4f02-b830-460a78ebc2a8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapital_febe827c-597b-42b3-bb60-d052fa59d703" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_AdditionalPaidInCapital"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_e5b2c4a9-01ff-475e-90ef-ca7a4d6567c4" xlink:to="loc_us-gaap_AdditionalPaidInCapital_febe827c-597b-42b3-bb60-d052fa59d703" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_bf6a0a0c-f65f-4c02-b6dd-d3ddf17947ab" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_e5b2c4a9-01ff-475e-90ef-ca7a4d6567c4" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_bf6a0a0c-f65f-4c02-b6dd-d3ddf17947ab" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TreasuryStockValue_94bd8ffa-c8d8-4748-81f8-a3b800e37f53" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_TreasuryStockValue"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_e5b2c4a9-01ff-475e-90ef-ca7a4d6567c4" xlink:to="loc_us-gaap_TreasuryStockValue_94bd8ffa-c8d8-4748-81f8-a3b800e37f53" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_b0666c87-cd99-48f0-a532-dbeb4fa3e5b6" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_e5b2c4a9-01ff-475e-90ef-ca7a4d6567c4" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_b0666c87-cd99-48f0-a532-dbeb4fa3e5b6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_34c24307-668a-484f-a288-fc17ca07e643" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerLiabilityCurrent_210e6afe-57c1-4430-9e9d-5e0edad63e6b" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_ContractWithCustomerLiabilityCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_34c24307-668a-484f-a288-fc17ca07e643" xlink:to="loc_us-gaap_ContractWithCustomerLiabilityCurrent_210e6afe-57c1-4430-9e9d-5e0edad63e6b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityCurrent_b7832840-f3ad-4c6c-928d-d90e7f8bb80b" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeaseLiabilityCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_34c24307-668a-484f-a288-fc17ca07e643" xlink:to="loc_us-gaap_FinanceLeaseLiabilityCurrent_b7832840-f3ad-4c6c-928d-d90e7f8bb80b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityCurrent_c6cc76a9-f987-4aab-8ea3-5e74128e8d96" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_34c24307-668a-484f-a288-fc17ca07e643" xlink:to="loc_us-gaap_OperatingLeaseLiabilityCurrent_c6cc76a9-f987-4aab-8ea3-5e74128e8d96" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedLiabilitiesCurrent_22777191-44af-46f1-b701-527766d9c556" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_AccruedLiabilitiesCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_34c24307-668a-484f-a288-fc17ca07e643" xlink:to="loc_us-gaap_AccruedLiabilitiesCurrent_22777191-44af-46f1-b701-527766d9c556" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableCurrent_bc4e47a7-529b-4601-9dfc-a8a919282e9a" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_AccountsPayableCurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_34c24307-668a-484f-a288-fc17ca07e643" xlink:to="loc_us-gaap_AccountsPayableCurrent_bc4e47a7-529b-4601-9dfc-a8a919282e9a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtCurrent_e4730a2b-75ca-4024-9707-7b28a024ec4c" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LongTermDebtCurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_34c24307-668a-484f-a288-fc17ca07e643" xlink:to="loc_us-gaap_LongTermDebtCurrent_e4730a2b-75ca-4024-9707-7b28a024ec4c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_30eac367-5813-4483-92e4-c77f9e824654" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_5a77a8a6-1b1d-4389-9484-35365487cb88" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_AssetsCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_30eac367-5813-4483-92e4-c77f9e824654" xlink:to="loc_us-gaap_AssetsCurrent_5a77a8a6-1b1d-4389-9484-35365487cb88" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerAssetNetNoncurrent_4d291de6-eb01-4bbd-99d7-51b5ae3916cf" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_ContractWithCustomerAssetNetNoncurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_30eac367-5813-4483-92e4-c77f9e824654" xlink:to="loc_us-gaap_ContractWithCustomerAssetNetNoncurrent_4d291de6-eb01-4bbd-99d7-51b5ae3916cf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_46f15c8a-8b5b-4219-ae89-3be9998b293e" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_30eac367-5813-4483-92e4-c77f9e824654" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_46f15c8a-8b5b-4219-ae89-3be9998b293e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_32ad5f4c-fd7c-4341-918b-6a73fba5f9cf" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_IntangibleAssetsNetExcludingGoodwill"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_30eac367-5813-4483-92e4-c77f9e824654" xlink:to="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_32ad5f4c-fd7c-4341-918b-6a73fba5f9cf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_efadb5c2-b03c-44ad-9638-946c9eb5001b" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_Goodwill"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_30eac367-5813-4483-92e4-c77f9e824654" xlink:to="loc_us-gaap_Goodwill_efadb5c2-b03c-44ad-9638-946c9eb5001b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssetsNoncurrent_19961cb7-f7b2-462d-a1b2-da8d70174881" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OtherAssetsNoncurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_30eac367-5813-4483-92e4-c77f9e824654" xlink:to="loc_us-gaap_OtherAssetsNoncurrent_19961cb7-f7b2-462d-a1b2-da8d70174881" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxAssetsNet_583dd15e-73d1-40fb-8581-65a75cf7a2e8" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_DeferredIncomeTaxAssetsNet"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_30eac367-5813-4483-92e4-c77f9e824654" xlink:to="loc_us-gaap_DeferredIncomeTaxAssetsNet_583dd15e-73d1-40fb-8581-65a75cf7a2e8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAsset_5c81a988-08b6-4859-b403-d31300a24a84" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_30eac367-5813-4483-92e4-c77f9e824654" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAsset_5c81a988-08b6-4859-b403-d31300a24a84" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseRightOfUseAsset_0bf8070d-c692-4a14-94c8-65c0c1fcc305" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeaseRightOfUseAsset"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_30eac367-5813-4483-92e4-c77f9e824654" xlink:to="loc_us-gaap_FinanceLeaseRightOfUseAsset_0bf8070d-c692-4a14-94c8-65c0c1fcc305" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_2cf63c5f-d074-465c-a5d9-05a22e848119" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_5233a122-02e4-4a0c-bd14-632c699cf312" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_2cf63c5f-d074-465c-a5d9-05a22e848119" xlink:to="loc_us-gaap_LiabilitiesCurrent_5233a122-02e4-4a0c-bd14-632c699cf312" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilitiesNoncurrent_4ba903ea-c686-4ff9-b39a-c33b5f4dd447" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OtherLiabilitiesNoncurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_2cf63c5f-d074-465c-a5d9-05a22e848119" xlink:to="loc_us-gaap_OtherLiabilitiesNoncurrent_4ba903ea-c686-4ff9-b39a-c33b5f4dd447" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtNoncurrent_6933a1b8-bff3-4ce0-b387-8e012ced98bf" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LongTermDebtNoncurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_2cf63c5f-d074-465c-a5d9-05a22e848119" xlink:to="loc_us-gaap_LongTermDebtNoncurrent_6933a1b8-bff3-4ce0-b387-8e012ced98bf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_b42f5d31-d771-42e6-8735-356bc6db180b" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_2cf63c5f-d074-465c-a5d9-05a22e848119" xlink:to="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_b42f5d31-d771-42e6-8735-356bc6db180b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityNoncurrent_7697778c-1d8b-43f7-b2de-f8bb22d7bc1a" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeaseLiabilityNoncurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_2cf63c5f-d074-465c-a5d9-05a22e848119" xlink:to="loc_us-gaap_FinanceLeaseLiabilityNoncurrent_7697778c-1d8b-43f7-b2de-f8bb22d7bc1a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_9958d9b5-7ce6-43c1-937c-5f3899e2b0fa" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_29b9f507-87e2-4a41-b71a-31ac833e9014" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_Liabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_9958d9b5-7ce6-43c1-937c-5f3899e2b0fa" xlink:to="loc_us-gaap_Liabilities_29b9f507-87e2-4a41-b71a-31ac833e9014" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_c6cbd981-1966-400b-8e23-ab7d89b46d40" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_StockholdersEquity"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_9958d9b5-7ce6-43c1-937c-5f3899e2b0fa" xlink:to="loc_us-gaap_StockholdersEquity_c6cbd981-1966-400b-8e23-ab7d89b46d40" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies_2b993c2d-bd51-46c8-9e9b-dc5dec2dab68" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_9958d9b5-7ce6-43c1-937c-5f3899e2b0fa" xlink:to="loc_us-gaap_CommitmentsAndContingencies_2b993c2d-bd51-46c8-9e9b-dc5dec2dab68" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_06fe1d97-a861-4bdb-b4d3-ca39f34f53da" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_AssetsCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_4d5fbd59-9db6-4fd9-88db-c6c2e742dfac" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_06fe1d97-a861-4bdb-b4d3-ca39f34f53da" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_4d5fbd59-9db6-4fd9-88db-c6c2e742dfac" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsReceivableNetCurrent_e903fd25-0e02-42cc-b2bd-d4c83ac854a9" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_AccountsReceivableNetCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_06fe1d97-a861-4bdb-b4d3-ca39f34f53da" xlink:to="loc_us-gaap_AccountsReceivableNetCurrent_e903fd25-0e02-42cc-b2bd-d4c83ac854a9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerAssetNetCurrent_2b4ef656-6a74-400c-b8c0-5fa354363bfb" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_ContractWithCustomerAssetNetCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_06fe1d97-a861-4bdb-b4d3-ca39f34f53da" xlink:to="loc_us-gaap_ContractWithCustomerAssetNetCurrent_2b4ef656-6a74-400c-b8c0-5fa354363bfb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryNet_192e6fe0-4a93-428d-a5b7-2b685215cdcd" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_InventoryNet"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_06fe1d97-a861-4bdb-b4d3-ca39f34f53da" xlink:to="loc_us-gaap_InventoryNet_192e6fe0-4a93-428d-a5b7-2b685215cdcd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_89615e3d-32d8-4374-92c5-3cd5d70eba11" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_PrepaidExpenseAndOtherAssetsCurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_06fe1d97-a861-4bdb-b4d3-ca39f34f53da" xlink:to="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_89615e3d-32d8-4374-92c5-3cd5d70eba11" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/ConsolidatedStatementsofOperationsUnaudited" xlink:type="simple" xlink:href="luna-20210630.xsd#ConsolidatedStatementsofOperationsUnaudited"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/ConsolidatedStatementsofOperationsUnaudited" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_5ec87915-15c6-4a60-8310-48872bb9078b" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_3d29992b-decc-4f0c-82cf-4ae5b13ed20e" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_5ec87915-15c6-4a60-8310-48872bb9078b" xlink:to="loc_us-gaap_OperatingIncomeLoss_3d29992b-decc-4f0c-82cf-4ae5b13ed20e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpense_bdfa41c8-d30e-48cb-87b9-43b29af03763" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_NonoperatingIncomeExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_5ec87915-15c6-4a60-8310-48872bb9078b" xlink:to="loc_us-gaap_NonoperatingIncomeExpense_bdfa41c8-d30e-48cb-87b9-43b29af03763" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossProfit_6bc50861-4713-415d-a795-9be9b0607431" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_GrossProfit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_3df3f60d-b627-4b75-a731-2b10d2806675" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_GrossProfit_6bc50861-4713-415d-a795-9be9b0607431" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_3df3f60d-b627-4b75-a731-2b10d2806675" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostOfGoodsAndServicesSold_896f1528-ec52-4a77-bffd-b8690a653d8e" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_CostOfGoodsAndServicesSold"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_GrossProfit_6bc50861-4713-415d-a795-9be9b0607431" xlink:to="loc_us-gaap_CostOfGoodsAndServicesSold_896f1528-ec52-4a77-bffd-b8690a653d8e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_3296b051-6855-4e9e-8779-36163963f62e" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_NetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperations_c667064a-226a-4d0e-a347-8cc1db4b4774" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_IncomeLossFromContinuingOperations"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_3296b051-6855-4e9e-8779-36163963f62e" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperations_c667064a-226a-4d0e-a347-8cc1db4b4774" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationDuringPhaseOutPeriodNetOfTax_3a21de4b-3b8d-427e-bd5a-56f973c88b46" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationDuringPhaseOutPeriodNetOfTax"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_3296b051-6855-4e9e-8779-36163963f62e" xlink:to="loc_us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationDuringPhaseOutPeriodNetOfTax_3a21de4b-3b8d-427e-bd5a-56f973c88b46" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperations_c8d072f4-bada-4f61-b2d3-be49641eb306" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_IncomeLossFromContinuingOperations"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_6823dc3d-9a96-45cc-aeaf-f809626687fa" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_c8d072f4-bada-4f61-b2d3-be49641eb306" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_6823dc3d-9a96-45cc-aeaf-f809626687fa" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_86dd0c1d-1e33-472a-8b55-d6af75797e09" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_c8d072f4-bada-4f61-b2d3-be49641eb306" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_86dd0c1d-1e33-472a-8b55-d6af75797e09" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpenses_79fb40fe-bee3-44b3-bf42-2b6baaed4f64" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OperatingExpenses"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SellingGeneralAndAdministrativeExpense_1efbca90-641d-4ea8-ba50-ea4fc25e1b4b" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_SellingGeneralAndAdministrativeExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_79fb40fe-bee3-44b3-bf42-2b6baaed4f64" xlink:to="loc_us-gaap_SellingGeneralAndAdministrativeExpense_1efbca90-641d-4ea8-ba50-ea4fc25e1b4b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ResearchAndDevelopmentExpense_d67f91a1-b1d1-42be-b120-f76f1733a763" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_ResearchAndDevelopmentExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_79fb40fe-bee3-44b3-bf42-2b6baaed4f64" xlink:to="loc_us-gaap_ResearchAndDevelopmentExpense_d67f91a1-b1d1-42be-b120-f76f1733a763" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpense_b12674f4-f4db-4043-a322-d2da57c60674" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_NonoperatingIncomeExpense"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNonoperatingIncomeExpense_f895bc5f-090d-4540-b42c-cfa1603d0256" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OtherNonoperatingIncomeExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_b12674f4-f4db-4043-a322-d2da57c60674" xlink:to="loc_us-gaap_OtherNonoperatingIncomeExpense_f895bc5f-090d-4540-b42c-cfa1603d0256" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseNonoperatingNet_c290a7c1-b943-4f3e-983e-7ad7756d1482" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_InterestIncomeExpenseNonoperatingNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_b12674f4-f4db-4043-a322-d2da57c60674" xlink:to="loc_us-gaap_InterestIncomeExpenseNonoperatingNet_c290a7c1-b943-4f3e-983e-7ad7756d1482" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeNonoperating_8fccdbce-172a-4494-ac9f-56dd4294ec0c" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_InvestmentIncomeNonoperating"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_b12674f4-f4db-4043-a322-d2da57c60674" xlink:to="loc_us-gaap_InvestmentIncomeNonoperating_8fccdbce-172a-4494-ac9f-56dd4294ec0c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_ee0260e5-c4c3-4ff9-8e27-002d17974fbc" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossProfit_54cf5674-a150-4e55-8e24-e1ac17a95033" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_GrossProfit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_ee0260e5-c4c3-4ff9-8e27-002d17974fbc" xlink:to="loc_us-gaap_GrossProfit_54cf5674-a150-4e55-8e24-e1ac17a95033" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpenses_48d63b23-2e07-41bf-bdd4-e5c19bdba057" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OperatingExpenses"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_ee0260e5-c4c3-4ff9-8e27-002d17974fbc" xlink:to="loc_us-gaap_OperatingExpenses_48d63b23-2e07-41bf-bdd4-e5c19bdba057" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/ConsolidatedStatementsofComprehensiveLossIncome" xlink:type="simple" xlink:href="luna-20210630.xsd#ConsolidatedStatementsofComprehensiveLossIncome"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/ConsolidatedStatementsofComprehensiveLossIncome" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_918fa05e-b57c-4d99-9e22-f633462b0280" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_ec1b57e1-e392-422f-a50f-8a24e6ddf6cb" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_918fa05e-b57c-4d99-9e22-f633462b0280" xlink:to="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_ec1b57e1-e392-422f-a50f-8a24e6ddf6cb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentNetOfTaxPortionAttributableToParent_cd3fefda-adae-4eaa-ae92-d30014ef4357" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentNetOfTaxPortionAttributableToParent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_918fa05e-b57c-4d99-9e22-f633462b0280" xlink:to="loc_us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentNetOfTaxPortionAttributableToParent_cd3fefda-adae-4eaa-ae92-d30014ef4357" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/ConsolidatedStatementsofCashFlowsUnaudited" xlink:type="simple" xlink:href="luna-20210630.xsd#ConsolidatedStatementsofCashFlowsUnaudited"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/ConsolidatedStatementsofCashFlowsUnaudited" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_887ff8cc-9e6c-4e3a-8114-8f082a82f49b" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_2bddfae6-7784-4845-b581-24e08162b34b" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_887ff8cc-9e6c-4e3a-8114-8f082a82f49b" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_2bddfae6-7784-4845-b581-24e08162b34b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_99576aa1-dc5f-4de7-bf6f-ab137347827b" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_887ff8cc-9e6c-4e3a-8114-8f082a82f49b" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_99576aa1-dc5f-4de7-bf6f-ab137347827b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_ac0448bd-6fe1-41c6-9fef-00d072e65972" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_887ff8cc-9e6c-4e3a-8114-8f082a82f49b" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_ac0448bd-6fe1-41c6-9fef-00d072e65972" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_63751d25-a770-4ea2-96e3-fca303e13087" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_887ff8cc-9e6c-4e3a-8114-8f082a82f49b" xlink:to="loc_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_63751d25-a770-4ea2-96e3-fca303e13087" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_9072d032-ab4d-4806-9ef2-61ff60b3c6cd" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_fc14aaf6-90f7-4414-8cfa-40545c817a85" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_9072d032-ab4d-4806-9ef2-61ff60b3c6cd" xlink:to="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_fc14aaf6-90f7-4414-8cfa-40545c817a85" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireIntangibleAssets_7f1c7b94-77bd-4b45-ad2d-1dc9e88f188c" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_PaymentsToAcquireIntangibleAssets"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_9072d032-ab4d-4806-9ef2-61ff60b3c6cd" xlink:to="loc_us-gaap_PaymentsToAcquireIntangibleAssets_7f1c7b94-77bd-4b45-ad2d-1dc9e88f188c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment_dba1ca8e-a497-4288-9ef8-de7887cacfb7" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_9072d032-ab4d-4806-9ef2-61ff60b3c6cd" xlink:to="loc_us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment_dba1ca8e-a497-4288-9ef8-de7887cacfb7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromDivestitureOfBusinesses_e0df7873-0fac-41f6-a96a-073d3591ac84" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_ProceedsFromDivestitureOfBusinesses"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_9072d032-ab4d-4806-9ef2-61ff60b3c6cd" xlink:to="loc_us-gaap_ProceedsFromDivestitureOfBusinesses_e0df7873-0fac-41f6-a96a-073d3591ac84" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a0642fdc-d57d-47b4-99a1-1c8ff3c0906a" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnSaleOfPropertyPlantEquipment_03c6c4f8-7399-43a3-86bc-de0ee5457ae2" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_GainLossOnSaleOfPropertyPlantEquipment"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a0642fdc-d57d-47b4-99a1-1c8ff3c0906a" xlink:to="loc_us-gaap_GainLossOnSaleOfPropertyPlantEquipment_03c6c4f8-7399-43a3-86bc-de0ee5457ae2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_36fbe01c-e82d-459c-9082-1bc720ea75e5" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a0642fdc-d57d-47b4-99a1-1c8ff3c0906a" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_36fbe01c-e82d-459c-9082-1bc720ea75e5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DiscontinuedOperationGainLossOnDisposalOfDiscontinuedOperationNetOfTax_4f031e99-db8b-451b-b284-0e6f5c06846b" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_DiscontinuedOperationGainLossOnDisposalOfDiscontinuedOperationNetOfTax"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a0642fdc-d57d-47b4-99a1-1c8ff3c0906a" xlink:to="loc_us-gaap_DiscontinuedOperationGainLossOnDisposalOfDiscontinuedOperationNetOfTax_4f031e99-db8b-451b-b284-0e6f5c06846b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInContractWithCustomerLiability_e4c59513-a8e9-4dc2-9a4e-75142737f561" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_IncreaseDecreaseInContractWithCustomerLiability"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a0642fdc-d57d-47b4-99a1-1c8ff3c0906a" xlink:to="loc_us-gaap_IncreaseDecreaseInContractWithCustomerLiability_e4c59513-a8e9-4dc2-9a4e-75142737f561" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensation_90e2eb49-dce3-4a43-b97c-694c2ebc2c89" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_ShareBasedCompensation"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a0642fdc-d57d-47b4-99a1-1c8ff3c0906a" xlink:to="loc_us-gaap_ShareBasedCompensation_90e2eb49-dce3-4a43-b97c-694c2ebc2c89" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_72c5d104-5f5e-4327-a761-a81e6aa215e9" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_IncreaseDecreaseInAccountsReceivable"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a0642fdc-d57d-47b4-99a1-1c8ff3c0906a" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_72c5d104-5f5e-4327-a761-a81e6aa215e9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxesAndTaxCredits_2729c672-5e16-493e-9741-41d11616215e" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_DeferredIncomeTaxesAndTaxCredits"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a0642fdc-d57d-47b4-99a1-1c8ff3c0906a" xlink:to="loc_us-gaap_DeferredIncomeTaxesAndTaxCredits_2729c672-5e16-493e-9741-41d11616215e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInInventories_5f159084-d943-4d2b-b935-40a72c65eb62" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_IncreaseDecreaseInInventories"/>
    <link:calculationArc order="8" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a0642fdc-d57d-47b4-99a1-1c8ff3c0906a" xlink:to="loc_us-gaap_IncreaseDecreaseInInventories_5f159084-d943-4d2b-b935-40a72c65eb62" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationAndAmortization_d64c1283-144e-4b06-8a1b-6ddb37ed6a59" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_DepreciationAndAmortization"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a0642fdc-d57d-47b4-99a1-1c8ff3c0906a" xlink:to="loc_us-gaap_DepreciationAndAmortization_d64c1283-144e-4b06-8a1b-6ddb37ed6a59" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInContractWithCustomerAsset_e777b7ce-6487-47a3-bcce-fd8d79a9e95b" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_IncreaseDecreaseInContractWithCustomerAsset"/>
    <link:calculationArc order="10" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a0642fdc-d57d-47b4-99a1-1c8ff3c0906a" xlink:to="loc_us-gaap_IncreaseDecreaseInContractWithCustomerAsset_e777b7ce-6487-47a3-bcce-fd8d79a9e95b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherCurrentAssets_807361a5-edd4-49d4-970e-dbaf2fb790da" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_IncreaseDecreaseInOtherCurrentAssets"/>
    <link:calculationArc order="11" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a0642fdc-d57d-47b4-99a1-1c8ff3c0906a" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherCurrentAssets_807361a5-edd4-49d4-970e-dbaf2fb790da" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_93a5f041-1b04-42be-8ae6-e682a86b3058" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="12" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a0642fdc-d57d-47b4-99a1-1c8ff3c0906a" xlink:to="loc_us-gaap_NetIncomeLoss_93a5f041-1b04-42be-8ae6-e682a86b3058" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProvisionForDoubtfulAccounts_3b236325-51e4-4476-8b36-e9a7b2bf48dd" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_ProvisionForDoubtfulAccounts"/>
    <link:calculationArc order="13" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a0642fdc-d57d-47b4-99a1-1c8ff3c0906a" xlink:to="loc_us-gaap_ProvisionForDoubtfulAccounts_3b236325-51e4-4476-8b36-e9a7b2bf48dd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_c17054ff-f007-4286-91bb-4df0b7ef72de" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeasePrincipalPayments_c1a23d11-cff0-404b-8958-ad8b549fd1ec" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeasePrincipalPayments"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_c17054ff-f007-4286-91bb-4df0b7ef72de" xlink:to="loc_us-gaap_FinanceLeasePrincipalPayments_c1a23d11-cff0-404b-8958-ad8b549fd1ec" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForRepurchaseOfCommonStock_ef08cee9-ed06-438d-bbdc-730a29312f81" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_PaymentsForRepurchaseOfCommonStock"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_c17054ff-f007-4286-91bb-4df0b7ef72de" xlink:to="loc_us-gaap_PaymentsForRepurchaseOfCommonStock_ef08cee9-ed06-438d-bbdc-730a29312f81" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOrSaleOfEquity_23255732-c627-49cf-ab49-f6b6436a9fee" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_ProceedsFromIssuanceOrSaleOfEquity"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_c17054ff-f007-4286-91bb-4df0b7ef72de" xlink:to="loc_us-gaap_ProceedsFromIssuanceOrSaleOfEquity_23255732-c627-49cf-ab49-f6b6436a9fee" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfDebt_56f8f187-2608-4bd4-a7f3-8b3707545d42" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_RepaymentsOfDebt"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_c17054ff-f007-4286-91bb-4df0b7ef72de" xlink:to="loc_us-gaap_RepaymentsOfDebt_56f8f187-2608-4bd4-a7f3-8b3707545d42" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_luna_ProceedsFromIssuanceOfEmployeeStockPurchasePlan_34c62e34-a7f4-4148-ad1e-d354a7b917da" xlink:href="luna-20210630.xsd#luna_ProceedsFromIssuanceOfEmployeeStockPurchasePlan"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_c17054ff-f007-4286-91bb-4df0b7ef72de" xlink:to="loc_luna_ProceedsFromIssuanceOfEmployeeStockPurchasePlan_34c62e34-a7f4-4148-ad1e-d354a7b917da" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/BusinessAcquisitionsAllocationofPurchaseConsiderationDetails" xlink:type="simple" xlink:href="luna-20210630.xsd#BusinessAcquisitionsAllocationofPurchaseConsiderationDetails"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/BusinessAcquisitionsAllocationofPurchaseConsiderationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_26321191-3298-482a-8ac1-d2408979c979" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_cffb3ecc-5e41-4ed9-a884-3fd35771aa1e" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_26321191-3298-482a-8ac1-d2408979c979" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_cffb3ecc-5e41-4ed9-a884-3fd35771aa1e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable_30dd8fd6-b2bc-42ec-bca0-5b5dc9425b02" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_26321191-3298-482a-8ac1-d2408979c979" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable_30dd8fd6-b2bc-42ec-bca0-5b5dc9425b02" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets_e132dd7b-c7c5-43ef-98dd-ac202bd5d65c" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_26321191-3298-482a-8ac1-d2408979c979" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets_e132dd7b-c7c5-43ef-98dd-ac202bd5d65c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory_b6e4937b-7abd-4e53-8cc6-dab05d2734e6" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_26321191-3298-482a-8ac1-d2408979c979" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory_b6e4937b-7abd-4e53-8cc6-dab05d2734e6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesOther_fe5e4e21-71d8-425d-9f2f-5497b217a889" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesOther"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_26321191-3298-482a-8ac1-d2408979c979" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesOther_fe5e4e21-71d8-425d-9f2f-5497b217a889" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_0b659eac-5b64-4c1e-afd6-c8afc6b461b9" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_Goodwill"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_26321191-3298-482a-8ac1-d2408979c979" xlink:to="loc_us-gaap_Goodwill_0b659eac-5b64-4c1e-afd6-c8afc6b461b9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill_ce109b58-ab8b-4294-aadd-9ec1a676e174" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_26321191-3298-482a-8ac1-d2408979c979" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill_ce109b58-ab8b-4294-aadd-9ec1a676e174" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_c47907af-281b-419d-a8f8-b7303aa16d6e" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_26321191-3298-482a-8ac1-d2408979c979" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_c47907af-281b-419d-a8f8-b7303aa16d6e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsOther_e3de170f-e21d-4dbc-a6ff-57230b1c754a" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsOther"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_26321191-3298-482a-8ac1-d2408979c979" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsOther_e3de170f-e21d-4dbc-a6ff-57230b1c754a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_luna_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNonCurrentLiabilitiesOperatingLeaseLiability_37efb3b6-1913-4809-bc1c-c4855495f66d" xlink:href="luna-20210630.xsd#luna_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNonCurrentLiabilitiesOperatingLeaseLiability"/>
    <link:calculationArc order="10" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_26321191-3298-482a-8ac1-d2408979c979" xlink:to="loc_luna_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNonCurrentLiabilitiesOperatingLeaseLiability_37efb3b6-1913-4809-bc1c-c4855495f66d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesDeferredRevenue_4ff5ab5c-2cb0-4579-86dc-40620b0c602c" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesDeferredRevenue"/>
    <link:calculationArc order="11" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_26321191-3298-482a-8ac1-d2408979c979" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesDeferredRevenue_4ff5ab5c-2cb0-4579-86dc-40620b0c602c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_luna_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsLeasesRightOfUseAsset_696e9d95-124f-4475-b4ad-dc07969ca014" xlink:href="luna-20210630.xsd#luna_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsLeasesRightOfUseAsset"/>
    <link:calculationArc order="12" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_26321191-3298-482a-8ac1-d2408979c979" xlink:to="loc_luna_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsLeasesRightOfUseAsset_696e9d95-124f-4475-b4ad-dc07969ca014" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_luna_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsContractAssets_f8eb9763-276b-466c-af17-d74253837b71" xlink:href="luna-20210630.xsd#luna_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsContractAssets"/>
    <link:calculationArc order="13" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_26321191-3298-482a-8ac1-d2408979c979" xlink:to="loc_luna_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsContractAssets_f8eb9763-276b-466c-af17-d74253837b71" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/IntangibleassetsnetSummaryofIntangibleAssetsDetails" xlink:type="simple" xlink:href="luna-20210630.xsd#IntangibleassetsnetSummaryofIntangibleAssetsDetails"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/IntangibleassetsnetSummaryofIntangibleAssetsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsNet_96e6f120-70dd-4735-a4d7-e9de48a289c1" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsGross_e162443a-653a-45d0-b22b-51253dce57b0" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_96e6f120-70dd-4735-a4d7-e9de48a289c1" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsGross_e162443a-653a-45d0-b22b-51253dce57b0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_a3265d08-a9ec-48d1-8b36-aa1365fb3cf4" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_96e6f120-70dd-4735-a4d7-e9de48a289c1" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_a3265d08-a9ec-48d1-8b36-aa1365fb3cf4" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/IntangibleassetsnetEstimatedAggregateAmortizationDetails" xlink:type="simple" xlink:href="luna-20210630.xsd#IntangibleassetsnetEstimatedAggregateAmortizationDetails"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/IntangibleassetsnetEstimatedAggregateAmortizationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsNet_8ddb11c2-1e88-4128-8e4b-a00768f88d15" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear_ef5b5753-1f12-49c4-ab6d-6ec1330a0865" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_8ddb11c2-1e88-4128-8e4b-a00768f88d15" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear_ef5b5753-1f12-49c4-ab6d-6ec1330a0865" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree_244461f7-a32a-459d-8148-d4e279a3898f" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_8ddb11c2-1e88-4128-8e4b-a00768f88d15" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree_244461f7-a32a-459d-8148-d4e279a3898f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour_bb53262a-4cc4-4804-aeb4-24f501d3ff53" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_8ddb11c2-1e88-4128-8e4b-a00768f88d15" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour_bb53262a-4cc4-4804-aeb4-24f501d3ff53" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_luna_FiniteLivedIntangibleAssetExpectedAmortizationAfterYearFour_be43682f-eba4-4a63-9924-68aa181e5944" xlink:href="luna-20210630.xsd#luna_FiniteLivedIntangibleAssetExpectedAmortizationAfterYearFour"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_8ddb11c2-1e88-4128-8e4b-a00768f88d15" xlink:to="loc_luna_FiniteLivedIntangibleAssetExpectedAmortizationAfterYearFour_be43682f-eba4-4a63-9924-68aa181e5944" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo_b6cd6091-7ea2-48af-9404-b40a46d3157e" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_8ddb11c2-1e88-4128-8e4b-a00768f88d15" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo_b6cd6091-7ea2-48af-9404-b40a46d3157e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths_60e00495-219e-44a2-92e0-00c13020dbc0" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_8ddb11c2-1e88-4128-8e4b-a00768f88d15" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths_60e00495-219e-44a2-92e0-00c13020dbc0" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/InventoryDetails" xlink:type="simple" xlink:href="luna-20210630.xsd#InventoryDetails"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/InventoryDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryNet_9fc6cdd2-5361-4a98-a33e-b580b463450f" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_InventoryNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryFinishedGoodsNetOfReserves_2e248d3d-de6d-4e90-b5dc-5921bb5600ef" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_InventoryFinishedGoodsNetOfReserves"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InventoryNet_9fc6cdd2-5361-4a98-a33e-b580b463450f" xlink:to="loc_us-gaap_InventoryFinishedGoodsNetOfReserves_2e248d3d-de6d-4e90-b5dc-5921bb5600ef" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryWorkInProcessNetOfReserves_cd9164d3-f42d-4e21-8c1b-38e4838b5ad4" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_InventoryWorkInProcessNetOfReserves"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InventoryNet_9fc6cdd2-5361-4a98-a33e-b580b463450f" xlink:to="loc_us-gaap_InventoryWorkInProcessNetOfReserves_cd9164d3-f42d-4e21-8c1b-38e4838b5ad4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryRawMaterialsNetOfReserves_c57932c0-d33f-44d1-baf4-f0e547f3b8cb" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_InventoryRawMaterialsNetOfReserves"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InventoryNet_9fc6cdd2-5361-4a98-a33e-b580b463450f" xlink:to="loc_us-gaap_InventoryRawMaterialsNetOfReserves_c57932c0-d33f-44d1-baf4-f0e547f3b8cb" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/AccruedLiabilitiesDetails" xlink:type="simple" xlink:href="luna-20210630.xsd#AccruedLiabilitiesDetails"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/AccruedLiabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedLiabilitiesCurrent_e6ab94a4-fa70-43b4-bce7-b7ec64913c88" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_AccruedLiabilitiesCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedProfessionalFeesCurrent_649f9e21-8450-4dd2-be12-72d956f77ef6" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_AccruedProfessionalFeesCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccruedLiabilitiesCurrent_e6ab94a4-fa70-43b4-bce7-b7ec64913c88" xlink:to="loc_us-gaap_AccruedProfessionalFeesCurrent_649f9e21-8450-4dd2-be12-72d956f77ef6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestPayableCurrent_e939dc14-0177-4c2a-bb01-0a657bd880cc" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_InterestPayableCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccruedLiabilitiesCurrent_e6ab94a4-fa70-43b4-bce7-b7ec64913c88" xlink:to="loc_us-gaap_InterestPayableCurrent_e939dc14-0177-4c2a-bb01-0a657bd880cc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmployeeRelatedLiabilitiesCurrent_096932b2-27a8-4a7c-a6da-4611405adb2c" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_EmployeeRelatedLiabilitiesCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccruedLiabilitiesCurrent_e6ab94a4-fa70-43b4-bce7-b7ec64913c88" xlink:to="loc_us-gaap_EmployeeRelatedLiabilitiesCurrent_096932b2-27a8-4a7c-a6da-4611405adb2c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyAccrualCarryingValueCurrent_1769ee1e-2887-410c-a3b8-07c26321e269" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LossContingencyAccrualCarryingValueCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccruedLiabilitiesCurrent_e6ab94a4-fa70-43b4-bce7-b7ec64913c88" xlink:to="loc_us-gaap_LossContingencyAccrualCarryingValueCurrent_1769ee1e-2887-410c-a3b8-07c26321e269" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedRoyaltiesCurrent_64adea33-2d0a-4902-9648-40e278c7eee2" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_AccruedRoyaltiesCurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccruedLiabilitiesCurrent_e6ab94a4-fa70-43b4-bce7-b7ec64913c88" xlink:to="loc_us-gaap_AccruedRoyaltiesCurrent_64adea33-2d0a-4902-9648-40e278c7eee2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAccruedLiabilitiesCurrent_40f1f2c6-11b0-45c6-b0c0-d935d41a8cc8" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OtherAccruedLiabilitiesCurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccruedLiabilitiesCurrent_e6ab94a4-fa70-43b4-bce7-b7ec64913c88" xlink:to="loc_us-gaap_OtherAccruedLiabilitiesCurrent_40f1f2c6-11b0-45c6-b0c0-d935d41a8cc8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedIncomeTaxesCurrent_2c109b28-1707-49bd-aed4-9f71689bec6d" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_AccruedIncomeTaxesCurrent"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccruedLiabilitiesCurrent_e6ab94a4-fa70-43b4-bce7-b7ec64913c88" xlink:to="loc_us-gaap_AccruedIncomeTaxesCurrent_2c109b28-1707-49bd-aed4-9f71689bec6d" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/DebtLongTermDebtDetails" xlink:type="simple" xlink:href="luna-20210630.xsd#DebtLongTermDebtDetails"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/DebtLongTermDebtDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt_5d577705-e1e7-48d5-94d5-066404337d0b" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LongTermDebt"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtCurrent_9b8574ca-f7f7-495f-ac28-9905a73a5252" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LongTermDebtCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_5d577705-e1e7-48d5-94d5-066404337d0b" xlink:to="loc_us-gaap_LongTermDebtCurrent_9b8574ca-f7f7-495f-ac28-9905a73a5252" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtNoncurrent_347e7d1d-d629-47b6-a28f-28c05572604e" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LongTermDebtNoncurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_5d577705-e1e7-48d5-94d5-066404337d0b" xlink:to="loc_us-gaap_LongTermDebtNoncurrent_347e7d1d-d629-47b6-a28f-28c05572604e" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/DebtMaturitiesDetails" xlink:type="simple" xlink:href="luna-20210630.xsd#DebtMaturitiesDetails"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/DebtMaturitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt_da6fde83-9719-4e44-b141-f4342fee0bd7" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LongTermDebt"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalRemainderOfFiscalYear_84c239bc-6465-4f56-a3f0-34dce89d6318" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalRemainderOfFiscalYear"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_da6fde83-9719-4e44-b141-f4342fee0bd7" xlink:to="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalRemainderOfFiscalYear_84c239bc-6465-4f56-a3f0-34dce89d6318" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_c258b392-2478-4731-9601-dc08397b8f2a" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_da6fde83-9719-4e44-b141-f4342fee0bd7" xlink:to="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_c258b392-2478-4731-9601-dc08397b8f2a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo_646161e9-7ceb-4c6a-b5f8-4459984015f3" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_da6fde83-9719-4e44-b141-f4342fee0bd7" xlink:to="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo_646161e9-7ceb-4c6a-b5f8-4459984015f3" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/DebtSummaryofInterestExpenseNetDetails" xlink:type="simple" xlink:href="luna-20210630.xsd#DebtSummaryofInterestExpenseNetDetails"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/DebtSummaryofInterestExpenseNetDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpense_f07f28dc-ed1e-403d-a431-8c39acc35d02" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_InterestExpense"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseOther_372c0b15-1294-472f-95f4-24edf9327043" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_InterestExpenseOther"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpense_f07f28dc-ed1e-403d-a431-8c39acc35d02" xlink:to="loc_us-gaap_InterestExpenseOther_372c0b15-1294-472f-95f4-24edf9327043" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfFinancingCosts_650fdd09-8ce5-4fd2-875f-4e1b68864a76" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_AmortizationOfFinancingCosts"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpense_f07f28dc-ed1e-403d-a431-8c39acc35d02" xlink:to="loc_us-gaap_AmortizationOfFinancingCosts_650fdd09-8ce5-4fd2-875f-4e1b68864a76" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseDebt_68bd15aa-46c1-491b-a7fd-ac3f66fc08eb" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_InterestExpenseDebt"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpense_f07f28dc-ed1e-403d-a431-8c39acc35d02" xlink:to="loc_us-gaap_InterestExpenseDebt_68bd15aa-46c1-491b-a7fd-ac3f66fc08eb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeOther_8793330d-2f21-4eff-9243-75eecb7ff096" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_InterestIncomeOther"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestExpense_f07f28dc-ed1e-403d-a431-8c39acc35d02" xlink:to="loc_us-gaap_InterestIncomeOther_8793330d-2f21-4eff-9243-75eecb7ff096" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/LeasesRentExpenseDetails" xlink:type="simple" xlink:href="luna-20210630.xsd#LeasesRentExpenseDetails"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/LeasesRentExpenseDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LeaseCost_8242806b-bf74-44b7-90a4-f73af3fb3a52" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LeaseCost"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseCost_35de3867-dea2-4f12-9a90-97af2442d867" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OperatingLeaseCost"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LeaseCost_8242806b-bf74-44b7-90a4-f73af3fb3a52" xlink:to="loc_us-gaap_OperatingLeaseCost_35de3867-dea2-4f12-9a90-97af2442d867" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableLeaseCost_5a4dd448-7284-4c5d-b542-fb5c508534fb" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_VariableLeaseCost"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LeaseCost_8242806b-bf74-44b7-90a4-f73af3fb3a52" xlink:to="loc_us-gaap_VariableLeaseCost_5a4dd448-7284-4c5d-b542-fb5c508534fb" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/LeasesFutureOperatingandFinanceLeasePaymentsDetails" xlink:type="simple" xlink:href="luna-20210630.xsd#LeasesFutureOperatingandFinanceLeasePaymentsDetails"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/LeasesFutureOperatingandFinanceLeasePaymentsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiability_005327e4-add8-47f4-b5b8-afcd8ba3c062" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OperatingLeaseLiability"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityCurrent_b40d0135-ae13-47b5-89d1-e3ca4d6ce0f5" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingLeaseLiability_005327e4-add8-47f4-b5b8-afcd8ba3c062" xlink:to="loc_us-gaap_OperatingLeaseLiabilityCurrent_b40d0135-ae13-47b5-89d1-e3ca4d6ce0f5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_4df97dae-c6e2-4358-b7a9-2dfaed15b916" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingLeaseLiability_005327e4-add8-47f4-b5b8-afcd8ba3c062" xlink:to="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_4df97dae-c6e2-4358-b7a9-2dfaed15b916" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_f2614760-ed7b-4206-8683-3368180fec70" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_d122dbac-5ff7-43ce-9a9d-05734f0b9744" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_f2614760-ed7b-4206-8683-3368180fec70" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_d122dbac-5ff7-43ce-9a9d-05734f0b9744" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiability_07e3411e-9f48-47b4-a519-92ee19704958" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_OperatingLeaseLiability"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_f2614760-ed7b-4206-8683-3368180fec70" xlink:to="loc_us-gaap_OperatingLeaseLiability_07e3411e-9f48-47b4-a519-92ee19704958" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiability_bdb2739b-7d21-4651-9626-29b6110fd234" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeaseLiability"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityNoncurrent_1d12ace0-f8c6-4cd5-acd3-c79b15d7e577" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeaseLiabilityNoncurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiability_bdb2739b-7d21-4651-9626-29b6110fd234" xlink:to="loc_us-gaap_FinanceLeaseLiabilityNoncurrent_1d12ace0-f8c6-4cd5-acd3-c79b15d7e577" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityCurrent_e77f1b60-3ca0-4ad2-9d18-721e0a1cb50a" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeaseLiabilityCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiability_bdb2739b-7d21-4651-9626-29b6110fd234" xlink:to="loc_us-gaap_FinanceLeaseLiabilityCurrent_e77f1b60-3ca0-4ad2-9d18-721e0a1cb50a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_dd507e2f-4fa4-4288-9f7d-6161e8c4dd64" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearThree_b8c19667-2f38-419d-9f1a-231570004dfb" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueYearThree"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_dd507e2f-4fa4-4288-9f7d-6161e8c4dd64" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearThree_b8c19667-2f38-419d-9f1a-231570004dfb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_luna_FinanceLeaseLiabilityToBePaidAfterYearFour_0632bf9f-f5e4-49fd-89fc-49170823dd94" xlink:href="luna-20210630.xsd#luna_FinanceLeaseLiabilityToBePaidAfterYearFour"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_dd507e2f-4fa4-4288-9f7d-6161e8c4dd64" xlink:to="loc_luna_FinanceLeaseLiabilityToBePaidAfterYearFour_0632bf9f-f5e4-49fd-89fc-49170823dd94" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearTwo_f06255d8-6ee5-48e9-a135-37ea135cc3ba" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueYearTwo"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_dd507e2f-4fa4-4288-9f7d-6161e8c4dd64" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearTwo_f06255d8-6ee5-48e9-a135-37ea135cc3ba" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueNextTwelveMonths_d385fc15-0db4-43c7-8a5b-8463033cbd30" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueNextTwelveMonths"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_dd507e2f-4fa4-4288-9f7d-6161e8c4dd64" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueNextTwelveMonths_d385fc15-0db4-43c7-8a5b-8463033cbd30" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearFour_cf3e52d7-d636-4483-9b7a-debe610051a4" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueYearFour"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_dd507e2f-4fa4-4288-9f7d-6161e8c4dd64" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearFour_cf3e52d7-d636-4483-9b7a-debe610051a4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsRemainderOfFiscalYear_82857582-e87c-4685-940a-d8f17a82686c" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeaseLiabilityPaymentsRemainderOfFiscalYear"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_dd507e2f-4fa4-4288-9f7d-6161e8c4dd64" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsRemainderOfFiscalYear_82857582-e87c-4685-940a-d8f17a82686c" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/LeasesFutureOperatingandFinanceLeasePaymentsDetails_1" xlink:type="simple" xlink:href="luna-20210630.xsd#LeasesFutureOperatingandFinanceLeasePaymentsDetails_1"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/LeasesFutureOperatingandFinanceLeasePaymentsDetails_1" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_0dab85f4-1440-4d0f-87ab-5f745c72be59" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_b1081ecc-be55-469c-b6dd-6f24ff25b104" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_0dab85f4-1440-4d0f-87ab-5f745c72be59" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_b1081ecc-be55-469c-b6dd-6f24ff25b104" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_d81752bd-42b1-41be-b598-7b8ca44a0cdb" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_0dab85f4-1440-4d0f-87ab-5f745c72be59" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_d81752bd-42b1-41be-b598-7b8ca44a0cdb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_03ac24f1-22ac-473d-bd5b-f46406ef314c" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_0dab85f4-1440-4d0f-87ab-5f745c72be59" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_03ac24f1-22ac-473d-bd5b-f46406ef314c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_ce674165-895f-4cc2-919e-be7152c0b397" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_0dab85f4-1440-4d0f-87ab-5f745c72be59" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_ce674165-895f-4cc2-919e-be7152c0b397" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_luna_LesseeOperatingLeaseLiabilityToBePaidAfterYearFour_4f11eed9-90c2-43f5-91d8-5bcf17c7ba08" xlink:href="luna-20210630.xsd#luna_LesseeOperatingLeaseLiabilityToBePaidAfterYearFour"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_0dab85f4-1440-4d0f-87ab-5f745c72be59" xlink:to="loc_luna_LesseeOperatingLeaseLiabilityToBePaidAfterYearFour_4f11eed9-90c2-43f5-91d8-5bcf17c7ba08" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_818d31fd-230b-4283-b01b-dbb63badd768" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_0dab85f4-1440-4d0f-87ab-5f745c72be59" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_818d31fd-230b-4283-b01b-dbb63badd768" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/LeasesOtherLeaseInformationDetails" xlink:type="simple" xlink:href="luna-20210630.xsd#LeasesOtherLeaseInformationDetails"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/LeasesOtherLeaseInformationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_luna_FinanceLeaseCost_db9d406f-e2c8-4709-a719-928c5f3425f5" xlink:href="luna-20210630.xsd#luna_FinanceLeaseCost"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseRightOfUseAssetAmortization_e07e0774-85b1-41b1-b065-ef9000c2667c" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeaseRightOfUseAssetAmortization"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_luna_FinanceLeaseCost_db9d406f-e2c8-4709-a719-928c5f3425f5" xlink:to="loc_us-gaap_FinanceLeaseRightOfUseAssetAmortization_e07e0774-85b1-41b1-b065-ef9000c2667c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseInterestExpense_058bc391-b5ba-4cb5-a2b5-a072b02650d7" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_FinanceLeaseInterestExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_luna_FinanceLeaseCost_db9d406f-e2c8-4709-a719-928c5f3425f5" xlink:to="loc_us-gaap_FinanceLeaseInterestExpense_058bc391-b5ba-4cb5-a2b5-a072b02650d7" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://lunainc.com/role/RevenueRecognitionContractBalancesDetails" xlink:type="simple" xlink:href="luna-20210630.xsd#RevenueRecognitionContractBalancesDetails"/>
  <link:calculationLink xlink:role="http://lunainc.com/role/RevenueRecognitionContractBalancesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_luna_ContractWithCustomerAssetsLiabilitiesNet_b9b9d8e3-b1d5-47b5-aca6-a7b90ff7e0eb" xlink:href="luna-20210630.xsd#luna_ContractWithCustomerAssetsLiabilitiesNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerAssetNet_00d9dd94-a95c-4456-9917-821280f5963c" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_ContractWithCustomerAssetNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_luna_ContractWithCustomerAssetsLiabilitiesNet_b9b9d8e3-b1d5-47b5-aca6-a7b90ff7e0eb" xlink:to="loc_us-gaap_ContractWithCustomerAssetNet_00d9dd94-a95c-4456-9917-821280f5963c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerLiabilityCurrent_80ce568a-e2f2-4abc-9143-bfc7f5a44719" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_ContractWithCustomerLiabilityCurrent"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_luna_ContractWithCustomerAssetsLiabilitiesNet_b9b9d8e3-b1d5-47b5-aca6-a7b90ff7e0eb" xlink:to="loc_us-gaap_ContractWithCustomerLiabilityCurrent_80ce568a-e2f2-4abc-9143-bfc7f5a44719" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
