Abstract
The following theorem is proved. THEOREM. For any n≥2, the set of collinear relative equilibria classes of the n-body problem generates by analytical continuation a total of n!(n+3)/2 relative equilibria classes of the n+1 body problem. Together with Arenstorf's results we state a general theorem for the 4 body problem with 3 arbitrary masses and 1 inferior mass.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 17-24 |
| Number of pages | 8 |
| Journal | Celestial Mechanics |
| Volume | 28 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Sep 1982 |
ASJC Scopus subject areas
- Astronomy and Astrophysics
- Space and Planetary Science