Abstract
We prove the existence of infinitely many symmetric periodic orbits for a regularized octahedral 7-body problem with six small masses placed at the vertices of an octahedron centered in the seventh mass. The main tools for proving the existence of such periodic orbits is the analytic continuation method together with the symmetry of the problem. © 2008 Birkhäuser Verlag Basel/Switzerland.
Original language | English |
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Pages (from-to) | 101-122 |
Journal | Qualitative Theory of Dynamical Systems |
Volume | 7 |
DOIs | |
Publication status | Published - 1 Aug 2008 |
Keywords
- 7-body problem
- Continuation method
- Symmetric periodic orbits