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IEVref:113-03-76ID:
Language:enStatus: Standard
Term: Lagrange function
Synonym1:
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Symbol: L
Definition: difference of kinetic energy T( q i ,  q ˙ i ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadsfacaGGOaGaam yCamaaBaaaleaacaWGPbaabeaakiaacYcacaqGGaGabmyCayaacaWa aSbaaSqaaiaadMgaaeqaaOGaaiykaaaa@408F@ and potential energy V(qi), where qi is a generalized coordinate and q ˙ i MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiqadghagaGaamaaBa aaleaacaWGPbaabeaaaaa@3AE6@ is a generalized velocity, thus L( q i ,  q ˙ i )=T( q i ,  q ˙ i )V( q i ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadYeacaGGOaGaam yCamaaBaaaleaacaWGPbaabeaakiaacYcacaqGGaGabmyCayaacaWa aSbaaSqaaiaadMgaaeqaaOGaaiykaiabg2da9iaadsfacaGGOaGaam yCamaaBaaaleaacaWGPbaabeaakiaacYcacaqGGaGabmyCayaacaWa aSbaaSqaaiaadMgaaeqaaOGaaiykaiabgkHiTiaadAfacaGGOaGaam yCamaaBaaaleaacaWGPbaabeaakiac+aOGPaaaaa@4F50@

NOTE 1 The potential energy V(qi) can be generalized to dynamic potential V( q i q ˙ i ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadAfacaGGOaGaam yCamaaBaaaleaajug4aiaadMgaaSqabaqcLbsacaqGSaGaaeiiaOGa bmyCayaacaWaaSbaaKqzGeqaaKqzGdGaamyAaaqcLbsabeaakiaabc cajugibiac+aOGPaaaaa@46D1@ .

NOTE 2 The coherent SI unit of Lagrange function is joule, J.


Publication date:2011-04
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Internal notes:2017-06-02: Cleanup - Remove Attached Image 113-03-76en.gif
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