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Periodic orbits in the Planar General Three-Body Problem

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Abstract

The article contains a numerical study of periodic solutions of the Planar General Three-Body Problem. Several new periodic solutions have been discovered and are described. In particular, there is a continuous family with variable masses, extending all the way from the elliptic restricted problem to the general problem with three equal masses. All our examples have special symmetry properties which are described in detail. Finally we also suggest some important applications to the natural satellites of the solar system.

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Authors and Affiliations

  1. Jet Propulsion Laboratory, Pasadena, Calif., USA

    R. Broucke & D. Boggs

  2. University of California, Los Angeles, Calif., USA

    R. Broucke

Authors
  1. R. Broucke
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  2. D. Boggs
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Additional information

The present research was carried out partially at UCLA and partially at the Jet Propulsion Laboratory, under contract NAS7-100 with NASA.

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Broucke, R., Boggs, D. Periodic orbits in the Planar General Three-Body Problem. Celestial Mechanics 11, 13–38 (1975). https://doi.org/10.1007/BF01228732

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  • DOI: https://doi.org/10.1007/BF01228732

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