Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cemda..94...37s&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 94, Issue 1, pp.37-65
Astronomy and Astrophysics
Astronomy
7
Collinear Motion, Four-Body Problem, Interplay Motions, Periodic Orbits
Scientific paper
We locate members of an important category of periodic orbits in the Newtonian four-body problem. These systems perform an interplay motion similar to that of the periodic three-body orbit discovered by Schubart. Such orbits, when stable, have been shown to be a key feature and influence on the dynamics of few-body systems. We consider the restricted case where the masses are collinear and are distributed symmetrically about their centre of mass.
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