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The problem of critical inclination combined with a resonance in mean motion in artificial satellite theory

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Abstract

In this paper the two-degree of freedom problem of a geosynchronous artificial satellite orbiting near the critical inclination is studied. First a local approach of this problem is considered. A semi-numerical method, well suited to describe the perturbations of a non-trivial separable system, is then applied such that surfaces of section illustrating the global secular dynamics are obtained. The results are confirmed by numerical integrations of the full Hamiltonian.

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Authors and Affiliations

  1. Department of Mathematics, Facultés N.D. de la Paix, 8, Rempart de la Vierge, B-5000, Namur, Belgium

    Fabienne Delhaise & Jacques Henrard

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  1. Fabienne Delhaise
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  2. Jacques Henrard
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Research Assistant for the Belgian National Fund for Scientific Research

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Delhaise, F., Henrard, J. The problem of critical inclination combined with a resonance in mean motion in artificial satellite theory. Celestial Mech Dyn Astr 55, 261–280 (1993). https://doi.org/10.1007/BF00692514

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  • DOI: https://doi.org/10.1007/BF00692514

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