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Generalized Whittaker's equations for holonomic mechanical systems

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  • Munawar Hussain

Abstract

In this paper the classical theorem a conservative holonomic dynamic system is invariantly connected with a certain differential form is generalized to group variables. This general theorem is then used to reduce the order of a Hamiltonian system by the use of the integral of energy. Equations of motion of the reduced system so obtained are derived which are the so-called generalized Whittaker's equations. Finally an example is given as an application of the theory.

Suggested Citation

  • Munawar Hussain, 1978. "Generalized Whittaker's equations for holonomic mechanical systems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 1, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:190193
    DOI: 10.1155/S0161171278000289
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