Generalized Whittaker's equations for holonomic mechanical systems

Munawar Hussain

International Journal of Mathematics and Mathematical Sciences, 1978, vol. 1, 1-9

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.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:190193

DOI: 10.1155/S0161171278000289

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