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Planetocentric gravitational sphere of the dominating influence of perturbations from planet oblateness over perturbations from external bodies

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Abstract

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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Authors and Affiliations

  1. Space Research Institute, Russian Academy of Sciences, ul. Profsoyuznaya 84/32, Moscow, 117810, Russia

    V. I. Prokhorenko

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  1. V. I. Prokhorenko
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Original Russian Text © V.I. Prokhorenko, 2010, published in Kosmicheskie Issledovaniya, 2010, Vol. 48, No. 2, pp. 178–191.

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Prokhorenko, V.I. Planetocentric gravitational sphere of the dominating influence of perturbations from planet oblateness over perturbations from external bodies. Cosmic Res 48, 174–187 (2010). https://doi.org/10.1134/S0010952510020073

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  • DOI: https://doi.org/10.1134/S0010952510020073

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