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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2008 022, 26 pp. (Mi ipmp374)

The families c and i of periodic solutions of the restricted problem for $\mu=5\cdot10^{-5}$

A. D. Bruno, V. P. Varin


Abstract: We consider the plane circular restricted three-body problem for the mass parameter value $\mu=5\cdot10^{-5}$. We computed two families of periodic solutions: the family $c$ originating at the collinear stationary point $L_1$, and an initial part of the family $i$ which begins with the direct circular orbits of infinitely small radius around the body of bigger mass. The computed families are very close to the generating ones described by us in earlier studies. In particular, we confirmed the existence of the predicted zigzag structure of characteristics of the family $i$. We found new properties of the plane and the vertical traces.



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