The planetary rotation acts on the satellite dynamics mainly via the zonal harmonics of the gravitational potential. We study the equatorial satellite orbits in a planetary field characterized by zonal harmonics up to the fifth order. To depict the phase-space structure, we resort to McGehee-type coordinates, as well as to foliations by the energy constant and the angular momentum constant. Various stability regions are found for each case. The problem presents interesting features, as for instance: cases when all trajectories (except a separatrix) are stable; existence of stable motion for nonnegative energy levels; positive Lebesgue measure for initial data leading to quasiperiodic and noncircular periodic orbits; important role of the angular momentum.
Journées 2002 - systèmes de référence spatio-temporels. Astrometry from ground and from space
- Pub Date:
- Satellite Orbits;
- Planetary Rotation