On the central configurations of the planar 1 + 3 body problem

Details On the central configurations of the planar 1 + 3 body problem On the central configurations of the planar 1 + 3 body problem

Jan 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011cemda.109...27c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 109, Issue 1, pp.27-43

Astronomy and Astrophysics

Astronomy

2

1 + 3 Body Problem, Central Configurations, Coorbital Satellites

Scientific paper

We consider the Newtonian four-body problem in the plane with a dominat mass M. We study the planar central configurations of this problem when the remaining masses are infinitesimal. We obtain two different classes of central configurations depending on the mutual distances between the infinitesimal masses. Both classes exhibit symmetric and non-symmetric configurations. And when two infinitesimal masses are equal, with the help of extended precision arithmetics, we provide evidence that the number of central configurations varies from five to seven.

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