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

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

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996ap%26ss.240..273z&link_type=abstract

Astrophysics and Space Science, Volume 240, Issue 2, pp.273-293

Astronomy and Astrophysics

Astrophysics

5

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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