Perturbed pendulum-like motions of a rigid body about a fixed point

Igor N. Gashenenko

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arXiv · 1212.1848

Perturbed pendulum-like motions of a rigid body about a fixed point

Igor N. Gashenenko

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Abstract

This paper is devoted to a detailed investigation of the perturbed pendulum-like motions of a heavy rigid body about a fixed point. Canonical variables that allow one to simplify the analysis of homoclinic and heteroclinic orbits are introduced. Characteristic properties of perturbed pendulum-like motions of the body in inertial space are studied. A qualitative description of asymptotics of pendulum-like motions in a neighbourhood of split separatrices is given.

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Igor N. Gashenenko. 2012-12-09. Perturbed pendulum-like motions of a rigid body about a fixed point. https://arxiv.org/abs/1212.1848

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