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The regular motion of an axisymmetrical satellite in the field of a triaxial body

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Abstract

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 Poincaré'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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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Monoufra University, Sheben-el-Kom, Egypt

    M. Z. Aboelnaga

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  1. M. Z. Aboelnaga
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Aboelnaga, M.Z. The regular motion of an axisymmetrical satellite in the field of a triaxial body. Astrophys Space Sci 225, 81–91 (1995). https://doi.org/10.1007/BF00657845

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  • DOI: https://doi.org/10.1007/BF00657845

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