Problems of critical inclination and commensurability in the motion of artificial satellites

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrodynamics, Earth Orbits, Satellite Orbits, Inclination, Orbit Perturbation, Orbital Resonances (Celestial Mechanics), Synchronous Satellites, Zonal Harmonics

Scientific paper

The resonant problem resulting from the critical inclination and commensurability in the motion of an artificial satellite is discussed. Considering the non-spherical perturbation of the earth for the averaged model, the quality of the equilibrium solution and the corresponding libration region are given. Finally, the authors compare this solution with the actual motion of an artificial satellite. They find that the resonance plays a stabilizing role in the motion and that the luni-solar perturbations have a significant effect on the orbital resonance of 24-h synchronous satellites.

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