Hamilton-Jacobi Formalism of Singular Lagrangians with Linear Accelerations

Eyad Hasan Hasan


This paper examined a new model for solving mechanical problems of second-order linear Lagrangian systems, using the Hamilton-Jacobi formalism. Lagrangians linear in accelerations with coefficients given by functions of coordinates alone yield primary constraints. It is shown that the equations of motion can be obtained from the action integral and these equations are equivalent to the canonical method.

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DOI: https://doi.org/10.5539/mas.v8n3p31

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