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Periodic motions of a small body in the Newtonian field of a regular polygonal configuration of ν+1 bodies

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Abstract

We study the simple periodic orbits of a particle that is subject to the gravitational action of the much bigger primary bodies which form a regular polygonal configuration of (ν+1) bodies when ν=8. We investigate the distribution of the characteristic curves of the families and their evolution in the phase space of the initial conditions, we describe various types of simple periodic orbits and we study their linear stability. Plots and tables illustrate the obtained material and reveal many interesting aspects regarding particle dynamics in such a multi-body system.

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Authors and Affiliations

  1. Department of Mechanics, National Technical University of Athens, Athens, Greece

    M. N. Croustalloudi & T. J. Kalvouridis

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  1. M. N. Croustalloudi
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  2. T. J. Kalvouridis
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Correspondence to T. J. Kalvouridis.

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Croustalloudi, M.N., Kalvouridis, T.J. Periodic motions of a small body in the Newtonian field of a regular polygonal configuration of ν+1 bodies. Astrophys Space Sci 314, 7–18 (2008). https://doi.org/10.1007/s10509-007-9716-0

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