Central Configurations of the Planar Coorbital Satellite Problem

Details Central Configurations of the Planar Coorbital Satellite Problem Central Configurations of the Planar Coorbital Satellite Problem

May 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cemda..89..319c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 89, Issue 4, p. 319-342 (2004).

Astronomy and Astrophysics

Astronomy

7

1 + N Body Problem, Contol Configuration, Coorbital Satellites

Scientific paper

We study the planar central configurations of the 1 + n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2≤ n≤4. Numerically, first we provide evidence that when n9 the only central configuration is the regular n-gon with the large mass in its barycenter, and second we provide also evidence of the existence of an axis of symmetry for every central configuration.

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