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

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

Apr 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008ap%26ss.314....7c&link_type=abstract

Astrophysics and Space Science, Volume 314, Issue 1-3, pp. 7-18

Astronomy and Astrophysics

Astrophysics

1

Celestial Mechanics, Ring Problem, Periodic Orbits

Scientific paper

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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