Non-Integrability of the Planar Oscillations of a Satellite

Details Non-Integrability of the Planar Oscillations of a Satellite Non-Integrability of the Planar Oscillations of a Satellite

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995aca....45..327m&link_type=abstract

Acta Astronomica, v.45, pp.327-344, (1995).

Astronomy and Astrophysics

Astronomy

Celestial Mechanics: Stellar Dynamics

Scientific paper

This paper presents several simple problems of astronomical origin where the non-integrability of equations of motion can be proved by means of the separatrices crossing method. For those values of parameters when this method is not applicable, for some cases, the special form of the Poincare method is used. All problems presented in this paper are connected with the rotational motion of natural or artificial bodies in a planetary system.

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