Periodic orbits in the restricted three-body problem and Arnold’s J +-invariant

Author:

Cieliebak Kai,Frauenfelder Urs,van Koert Otto

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference26 articles.

1. Abraham, R. and Marsden, J.E., Foundations of Mechanics, 2nd ed., rev. and enlarg., Reading, Mass.: Benjamin/Cummings, 1978.

2. Arenstorf, R. F., Periodic Solutions of the Restricted Three-Body Problem Representing Analytic Continuations of Keplerian Elliptic Motions, Amer. J. Math., 1963, vol. 85, pp. 27–35.

3. Arnol’d, V. I., Topological Invariants of Plane Curves and Caustics, Univ. Lecture Ser., vol. 5, Providence, R.I.: AMS, 1994.

4. Barrow-Green, J., Poincaré and the Three Body Problem, Hist. Math., vol. 11, Providence, R.I.: AMS, 1997.

5. Bruno, A.D., The Restricted 3-Body Problem: Plane Periodic Orbits, de Gruyter Exp. Math., vol. 17, Berlin: Walter de Gruyter & Co., 1994.

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