Q. K. Ghori. Whittaker’s Reduction Method for Poincare’s Dynamical Equations[J]. Applied Mathematics and Mechanics, 1994, 15(7): 639-645.
Citation: Q. K. Ghori. Whittaker’s Reduction Method for Poincare’s Dynamical Equations[J]. Applied Mathematics and Mechanics, 1994, 15(7): 639-645.

Whittaker’s Reduction Method for Poincare’s Dynamical Equations

  • Received Date: 1993-07-12
  • Publish Date: 1994-07-15
  • Whitlaker's reduction method invokes the energy integral to reduce the order of Lagrange's equations of motion of aholonomic dynamical system This paper treats the coresponding result for a nonholonomic conservative system deseribed by poincar's equations which are constructed form the standpoint of the theory of Lie groups.
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    Guen, Fam, On the equations of motion of a nonholonomic mechanical system in Poincare-Chetaev variables, J. Appl. Math. Mech. 31(1967). 274-281.
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    Neimurk, Ju. I. and N. A., Fufaev, Dynamics of nonholonomic systems, Transl, Math, Monographs, Amer, Math, Soc., Providence, R. I., 33(1972).
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