New kinds of asymmetric periodic orbits in the restricted three-body problem

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

The procedure of numerical ‘ascent’ from families of planar to three-dimensional periodic orbits and the subsequent ‘descent’ to the plane is proved efficient in determining new families of planar asymmetric periodic orbits in the restricted three-body problem. Two such families are computed and described for values of the mass parameter for which it has been found that they exist. Two new families of three-dimensional asymmetric periodic orbits are also presented in this paper.

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