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

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

Mar 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..55..261d&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 55, no. 3, p. 261-280.

Mathematics

Dynamical Systems

3

Artificial Satellites, Inclination, Orbital Resonances (Celestial Mechanics), Satellite Orbits, Synchronous Satellites, Dynamical Systems, Hamiltonian Functions, Mathematical Models, Numerical Integration, Partial Differential Equations

Scientific paper

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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