Astronomy and Astrophysics – Astronomy
Scientific paper
May 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004dda....35.0409c&link_type=abstract
American Astronomical Society, DDA meeting #35, #04.09; Bulletin of the American Astronomical Society, Vol. 36, p.854
Astronomy and Astrophysics
Astronomy
Scientific paper
We present an differential continuation method designed to study the locations of the resonant periodic orbits in the phase-parameter space of the three-body problem. We study systems with a star, and two planets orbiting around the first object in a mean-motion resonance. The method is based on the use of the so-called Plücker coordinates instead of the classical Newton method. A variant of the same method is also used with great efficiency for the search of initial resonant periodic orbits for the continuation. This method enables the investigation of those systems through an extensive study of their phase-parameter space. Our results on the stable orbital configurations in the 2:1 resonance provide constraints on the existence of terrestrial planets in extra-solar planetary systems.
Couetdic Jocelyn
Haghighipour Nader
Moore William B.
Varadi Ferenc
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