Effects of resonances on the stability of retrograde satellites

Details Effects of resonances on the stability of retrograde satellites Effects of resonances on the stability of retrograde satellites

Aug 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007ap%26ss.310..245d&link_type=abstract

Astrophysics and Space Science, Volume 310, Issue 3-4, pp. 245-249

Astronomy and Astrophysics

Astrophysics

5

Planar Circular Restricted Three-Body Problem, Periodic Orbits, Stability, Surface Of Section, Resonances

Scientific paper

The stability evolution of family f of the planar circular restricted three-body problem in the Earth Moon case is explored numerically using the Poincaré surface of section. It is shown that third order resonances are the main cause of the reduction of the stability region of retrograde satellites. Several branches of family f are also computed and these are seen by the configuration of their family characteristics to roughly determine the stability region. Previous results on smaller mass ratios of primaries are thus extended to the Earth Moon system.

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