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Periodic orbits in the free-fall three-body problem

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Abstract

Periodic solutions of the general free-fall three-body problem are investigated for the case of equal masses. The initial conditions are chosen on a Hill surface in form space. The use of the form space reduces the dimension of the problem and makes it possible to represent the region of possible initial conditions on the Hill surface, together with a color scale. The regions obtained can be used to improve the precision of the initial conditions for the periodic orbits in the free-fall three-body problem.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    V. V. Orlov, V. A. Titov & L. A. Shombina

  2. Central (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, Pulkovskoe shosse 65, St. Petersburg, 196140, Russia

    V. V. Orlov

Authors
  1. V. V. Orlov
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  2. V. A. Titov
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  3. L. A. Shombina
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Corresponding author

Correspondence to L. A. Shombina.

Additional information

Original Russian Text © V.V. Orlov, V.A. Titov, L.A. Shombina, 2016, published in Astronomicheskii Zhurnal, 2016, Vol. 93, No. 12, pp. 1061–1067.

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Orlov, V.V., Titov, V.A. & Shombina, L.A. Periodic orbits in the free-fall three-body problem. Astron. Rep. 60, 1083–1089 (2016). https://doi.org/10.1134/S1063772916110056

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  • DOI: https://doi.org/10.1134/S1063772916110056

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