Computer Science – Numerical Analysis
Scientific paper
Apr 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978mvsfa..19...97b&link_type=abstract
Moskovskii Universitet, Vestnik, Seriia III - Fizika, Astronomiia, vol. 19, Mar.-Apr. 1978, p. 97-105. In Russian.
Computer Science
Numerical Analysis
Axisymmetric Bodies, Celestial Mechanics, Circular Orbits, Satellite Rotation, Canonical Forms, Double Cusps, Equations Of Motion, Orbit Calculation, Periodic Variations
Scientific paper
In the present paper, the existence of periodic solutions is studied for the problem of the motion of an axisymmetric satellite about its center of mass. The satellite is assumed to move along an evolutionary circular orbit. The motion of the satellite is described in terms of canonical osculating Andoyer elements, referred to a mobile orbital plane. The analytical conditions for the existence of periodic Poincare solutions are obtained. The generating solutions of the Poincare solutions are interpreted as generalized Cassini laws for bodies possessing a dynamic symmetry axis. A quantitative and numerical analysis of the generating solutions is carried out.
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