Periodic three body orbits in the case of small third mass |
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Authors: | P. C. Kammeyer |
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Affiliation: | (1) Dept. of Mathematics and Statistics, University of Pittsburgh, 15260 Pittsburg, PA, USA |
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Abstract: | Near a symmetric periodic orbit of the plane circular or elliptic restricted probelm, the conditions for a symmetric periodic orbit of the plane general three body problem are reduced, under a natural nondegeneracy condition, to the vanishing of a single real valued function. The implicit function theorem and Hörmander's generalized Morse's lemma are then used to analyze the set of zeros of this function. |
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