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Whittaker's reduction method for poincaré's dynamical equations

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Abstract

Whittaker's reduction method invokes the energy integral to reduce the order of Lagrange's equations of motion of a holonomic dynamical system. This paper treats the corresponding results for a nonholonomic conservative system described by Poincare's equations which are constructed from the standpoint of the theory of Lie groups.

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References

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Authors and Affiliations

  1. Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals Dhahran, Saudi Arabia

    Q. K. Ghori

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  1. Q. K. Ghori
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Communicated by Chien Wei-zang

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Ghori, Q.K. Whittaker's reduction method for poincaré's dynamical equations. Appl Math Mech 15, 671–677 (1994). https://doi.org/10.1007/BF02451615

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  • DOI: https://doi.org/10.1007/BF02451615

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