Periodic orbits near infinity in the restricted N-body problem

Meyer, K.R.

Celestial Mechanics 23(1): 69-81


ISSN/ISBN: 1572-9478
Accession: 086541989

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This paper shows that there exist two families of periodic solutions of the restricted N-body problem which are close to large circular orbits of the Kepler problem. These solutions are shown to be of general elliptic type and hence are stable. If the restricted problem admits a symmetry, then there are symmetric periodic solutions which are close to large elliptic orbits of the Kepler problem.