Abstract
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. © 2004 Kluwer Academic Publishers.
Original language | English |
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Pages (from-to) | 319-342 |
Journal | Celestial Mechanics and Dynamical Astronomy |
Volume | 89 |
DOIs | |
Publication status | Published - 1 Dec 2004 |
Keywords
- 1 + n body problem
- Contol configuration
- Coorbital satellites