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Dust torus formed by particles ejected from a celestial body at an arbitrary point of its elliptic orbit

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Abstract

Dust comnplexes make one of the components of the Solar System. The surface shape of a typical dust complex consisting of particles ejected by a celestial body is found analytically, under reasonable assumptions (the main one being the smallness of perturbations). Parametric equations of the surface are obtained. The main properties of the surface are established and studied. Singular points are found, and the topological type of the surface as a whole and in the vicinity of the singular points (one conic points and one constriction) is examined.

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Acknowledgments

We are grateful to Professor R. Ya. Kezerashvili, Dr. M. Efroimsky, and the anonymous reviewers for their numerous valuable suggestions. This work is supported by the Russian Foundation for Basic Researches (grant 11-02-00232a) and the St. Petersburg State University Program on Research in Priority Areas (grant 6.37.110.2011).

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Authors and Affiliations

  1. St. Petersburg State University, Universitetsky pr. 28, Stary Peterhof, St. Petersburg, 198504, Russia

    Sergei A. Orlov & Konstantin V. Kholshevnikov

  2. Institute of Applied Astronomy RAS, Kutuzovskaja nab. 10, St. Petersburg, 191187, Russia

    Konstantin V. Kholshevnikov

Authors
  1. Sergei A. Orlov
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  2. Konstantin V. Kholshevnikov
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Correspondence to Konstantin V. Kholshevnikov.

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Orlov, S.A., Kholshevnikov, K.V. Dust torus formed by particles ejected from a celestial body at an arbitrary point of its elliptic orbit. Celest Mech Dyn Astr 116, 35–52 (2013). https://doi.org/10.1007/s10569-013-9473-z

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  • DOI: https://doi.org/10.1007/s10569-013-9473-z

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