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Trajectories of bodies in triple systems with moderate lifetimes

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Abstract

The general three-body problem with equal masses and zero initial velocities is considered. Sets of initial conditions for which the triple systems decay over comparatively short times, 10T cr < T < 20T cr, are distinguished (T cr is the mean crossing time for a component of the system). These sets form distinct families of structures in the domain of the initial conditions. The properties of trajectories of the bodies within some of these structures are described. It is shown that the set of families is no more than countable. A new classification for families of trajectories in decaying triple systems is proposed. Some problems in classifying trajectories in the three-body problem that must be addressed in the future are formulated.

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Authors and Affiliations

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

    A. I. Martynova

  2. St. Petersburg State University, St. Petersburg, Russia

    V. V. Orlov

  3. Main (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, St. Petersburg, Russia

    V. V. Orlov

Authors
  1. A. I. Martynova
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  2. V. V. Orlov
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Correspondence to V. V. Orlov.

Additional information

Original Russian Text © A.I. Martynova, V.V. Orlov, 2014, published in Astronomicheskii Zhurnal, 2014, Vol. 91, No. 10, pp. 869–884.

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Martynova, A.I., Orlov, V.V. Trajectories of bodies in triple systems with moderate lifetimes. Astron. Rep. 58, 767–781 (2014). https://doi.org/10.1134/S1063772914100096

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  • DOI: https://doi.org/10.1134/S1063772914100096

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