<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-08-11</periodOfReport><notSubjectToSection16>1</notSubjectToSection16><issuer><issuerCik>0001095901</issuerCik><issuerName>VERIDIAN CORP</issuerName>        <issuerTradingSymbol>VNX</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001176521</rptOwnerCik><rptOwnerName>MADONNA LYNN AMATO</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>C/O VERIDIAN 1200 S. HAYES ST.</rptOwnerStreet1><rptOwnerStreet2>SUITE 1100</rptOwnerStreet2><rptOwnerCity>ARLINGTON</rptOwnerCity><rptOwnerState>VA</rptOwnerState><rptOwnerZipCode>22202</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther></reportingOwnerRelationship></reportingOwner><nonDerivativeTable><nonDerivativeTransaction><securityTitle><value>Common Stock, par value $0.0001 per 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Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>1330</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>0</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction><derivativeTransaction><securityTitle><value>Director Stock Option (right to buy)</value></securityTitle><conversionOrExercisePrice><value>14.54</value></conversionOrExercisePrice><transactionDate><value>2003-08-11</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>D</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>1330</value></transactionShares><transactionPricePerShare><value>20.46</value><footnoteId id="F2" /></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><footnoteId id="F1" /></exerciseDate><expirationDate><value>2010-04-01</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>1330</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>0</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction><derivativeTransaction><securityTitle><value>Director Stock Option (right to buy)</value></securityTitle><conversionOrExercisePrice><value>14.68</value></conversionOrExercisePrice><transactionDate><value>2003-08-11</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>D</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>1330</value></transactionShares><transactionPricePerShare><value>20.32</value><footnoteId id="F2" /></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><footnoteId id="F1" /></exerciseDate><expirationDate><value>2011-12-18</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>1330</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>0</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction><derivativeTransaction><securityTitle><value>Director Stock Option (right to buy)</value></securityTitle><conversionOrExercisePrice><value>16</value></conversionOrExercisePrice><transactionDate><value>2003-08-11</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>D</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>1330</value></transactionShares><transactionPricePerShare><value>19</value><footnoteId id="F2" /></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><footnoteId id="F1" /></exerciseDate><expirationDate><value>2012-06-05</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>1330</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>0</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction><derivativeTransaction><securityTitle><value>Director Stock Option (right to buy)</value></securityTitle><conversionOrExercisePrice><value>26.15</value></conversionOrExercisePrice><transactionDate><value>2003-08-11</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>D</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>1000</value></transactionShares><transactionPricePerShare><value>8.85</value><footnoteId id="F2" /></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><footnoteId id="F1" /></exerciseDate><expirationDate><value>2013-06-05</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>1000</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>0</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">The option is exercisable immediately.</footnote><footnote id="F2">Represents the difference between the per share exercise price of the option and $35.00, the per share consideration paid in connection with the merger of Veridian Corporation with a wholly owned subsidiary of General Dynamics Corporation.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ Jerald S. Howe, Jr., by power of attorney</signatureName><signatureDate>2003-08-13</signatureDate></ownerSignature></ownershipDocument>

