Use of Dynamical Pfaff‘s Eq uations in the Lie Transformations

Boronenko T.S.

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In the present paper the connection of Pfaff’s equations with Lie transformations is considered. The averaging method in the restricted three-body problem based on Lie transformations in Pfaff’s space is proposed. The efficiency of such an algorithm for the problem of asymptotic integration in dynamics is discussed for the case where the solutions of the problem require a great number of approximations.

Keywords: perturbation theory, averaging method, Lie transformations, Pfaff’s equations, restricted three-body problem, satellites dynamics.

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Issue: 5, 2011

Series of issue: Issue 5

Rubric: Physics

Pages: 11 — 17

Downloads: 1473