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The \(n\)-body problem and mutual distances. (Le problème des \(n\) corps et les distances mutuelles.) (French) Zbl 0919.70005

Invent. Math. 131, No. 1, 151-184 (1998).

The authors consider mutual distances in the \(n\)-body problem and discuss the symmetries the homographic motion, and Sundman’s inequality. For a three-body system, they derive the equations of equilibrium configurations.

Reviewer: Johannes Viktor Feitzinger (Bochum)

Cited in 6 Reviews

Cited in 87 Documents

MSC:

70F10	\(n\)-body problems
70F15	Celestial mechanics
70F07	Three-body problems

Keywords:

symmetries; homographic motion; Sundman’s inequality; three-body system; equations of equilibrium configurations

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