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On the dynamics of the rigid body with a fixed point: periodic orbits and integrability
Journal article   Peer reviewed

On the dynamics of the rigid body with a fixed point: periodic orbits and integrability

Juan L. G. Guirao, Jaume Llibre and Juan A. Vera
Nonlinear dynamics, Vol.74(1-2), pp.327-333
01/10/2013
DOI: https://doi.org/10.1007/s11071-013-0972-y

Abstract

Engineering Engineering, Mechanical Mechanics Science & Technology Technology
The aim of the present paper is to study the periodic orbits of a rigid body with a fixed point and quasi-spherical shape under the effect of a Newtonian force field given by different small potentials. For studying these periodic orbits, we shall use averaging theory. Moreover, we provide information on the -integrability of these motions.

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