Periodic motions of a small body in the Newtonian field of a regular polygonal configuration of ν+1 bodies |
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| Authors: | M N Croustalloudi T J Kalvouridis |
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| Institution: | (1) Department of Mechanics, National Technical University of Athens, Athens, Greece |
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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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| Keywords: | Celestial mechanics Ring problem Periodic orbits |
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