Physics
Scientific paper
Apr 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010cosre..48..174p&link_type=abstract
Cosmic Research, Volume 48, Issue 2, pp.174-187
Physics
Scientific paper
The radius of a planetocentric sphere in which the gravitational perturbations caused by the planet oblateness dominate over perturbations caused by external bodies is determined in the paper. Specific features of long-term evolution of orbits of planetary satellites as a function of their average radii (semimajor axes) are considered using as an example two integrable cases in the doubly averaged problem taking into account joint influence of an external body and non-centrality of the planet’s gravitational field. For these cases, descriptions of the diversity of initial conditions leading (or not leading) to a crossing of the satellite orbit with the surface of a planet of finite radius are obtained.
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