Resonant periodic orbits in the three-body problem

Details Resonant periodic orbits in the three-body problem Resonant periodic orbits in the three-body problem

Sep 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999dda....31.0805v&link_type=abstract

American Astronomical Society, DDA meeting #31, #08.05

Astronomy and Astrophysics

Astronomy

Scientific paper

Periodic orbits in mean-motion resonances reveal a great deal about the dynamics of the three-body problem. The stable ones provide candidates for stable orbits in the more general N-body case of the actual Solar System. The unstable ones can explain the existence and extent of chaotic regions. This work employs a variety of techniques, such as the classical analytical continuation from the circular to the elliptic restricted three-body problem. Brute force searches are also carried out for cases which are not continuations from the circular case. The case of the general three-body problem is also studied.

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