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) |
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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