Multiple geometrically distinct closed noncollision orbits of fixed energy for N-body type problems with strong force potentials

Shiqing, Zhang

doi:10.1090/S0002-9939-96-03751-3

Multiple geometrically distinct closed noncollision orbits of fixed energy for N-body type problems with strong force potentials
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Proc. Amer. Math. Soc. 124 (1996), 3039-3046 Request permission

Abstract:

Using the equivariant Ljusternik-Schnirelmann theory, we prove that there are at least $2(N-1)2^{N-2}$ geometrically distinct noncollision orbits with prescribed energy for a class of planar N-body type problems with strong force potentials.

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