Abstract
We prove that a fixed configuration of N - 1 masses in the plane can be extended to a central configuration of N masses by adding a specified additional mass only in finitely many ways. This holds for a family of potential functions including the Newtonian gravitational case and the classical planar point vortex model.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 35-42 |
| Number of pages | 8 |
| Journal | Journal of Geometric Mechanics |
| Volume | 7 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1 2015 |
Bibliographical note
Publisher Copyright:© American Institute of Mathematical Sciences
Keywords
- Celestial mechanics
- Central configurations
- N-body problem
- Relative equilibria
- Vortices
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