Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995ap%26ss.225...81a&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 225, no. 1, p. 81-91
Astronomy and Astrophysics
Astrophysics
Asymmetry, Celestial Mechanics, Harmonics, Natural Satellites, Orbital Mechanics, Rotation, Two Body Problem, Angular Velocity, Equations Of Motion, Hamiltonian Functions, Kinetic Energy, Liapunov Functions, Stability
Scientific paper
This paper investigates the regular motions of an axisymmetrical satellite in the field of Newton's attraction of a triaxial body. Both the orbital and the self rotational motions of the two bodies are taken into consideration. The exact solutions are discussed using Poincare's method of small parameter. In the decomposition of the force function all the harmonic terms up to the third order are taken into account. The results show the existence of eight solutions. The stability of the new group of solutions is discussed using two methods to get the necessary and sufficient conditions required for the stability of these motions.
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