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Multiple Periodic Orbits in the Ring Problem: Families of Triple Periodic Orbits

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Abstract

The ring problem deals with the motion of a small body which is subjected to the combined gravitational attraction of N massive bodies arranged in an annular configuration. In this paper we study the distribution of the triple periodic orbits in the phase space of the initial conditions and we discuss their evolution and their principal features.

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Authors and Affiliations

  1. Department of Engineering Science, Section of Mechanics 5, National Technical University of Athens, Heroes of Polytechnion Ave., Zografou, 15773, Athens, Greece

    Telemachus J. Kalvouridis

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  1. Telemachus J. Kalvouridis
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Kalvouridis, T.J. Multiple Periodic Orbits in the Ring Problem: Families of Triple Periodic Orbits. Astrophysics and Space Science 277, 579–614 (2001). https://doi.org/10.1023/A:1013839004231

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  • DOI: https://doi.org/10.1023/A:1013839004231

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