Effects of the mass ratio on the existence of retrograde satellites in the circular plane restricted problem. II

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Dynamic Stability, Mass Ratios, Natural Satellites, Orbit Calculation, Three Body Problem, Graphs (Charts), Orbital Elements, Periodic Variations, Planetary Mass, Satellite Orbits

Scientific paper

We continue to investigate the extended region of stability for retrograde satellites when the mass of the planet increases. A preliminary study is made of the characteristic and stability properties of the new family of double-periodic orbits, described for mu = 0.0540 in a previous paper; it is found to have as much effect as the single periodic family f on the region of stability for mu varying between 0.0540 and 0.150. It is found that no other family of periodic orbits has any significant effect on the region of stability for any mu. Finally the general case of nonperiodic orbits is considered. The evolution of the region of stability up to mu equal to 0.5 is presented in graphic form.

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