Journal Article

Stability of prograde and retrograde planets in circular binary systems

M. H. M. Morais and C. A. Giuppone

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 424, issue 1, pages 52-64
Published in print July 2012 | ISSN: 0035-8711
Published online July 2012 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2012.21151.x
Stability of prograde and retrograde planets in circular binary systems

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We investigate the stability of prograde versus retrograde planets in circular binary systems using numerical simulations. We show that retrograde planets are stable up to distances closer to the perturber than prograde planets. We develop an analytical model to compute the prograde and retrograde mean motion resonances’ locations and separatrices. We show that instability is due to single resonance forcing, or caused by nearby resonances’ overlap. We validate our results regarding the role of single resonances and resonances’ overlap on orbit stability, by computing surfaces of section of the circular restricted three-body problem. We conclude that the observed enhanced stability of retrograde planets with respect to prograde planets is due to essential differences between the phase-space topology of retrograde versus prograde resonances (at p/q mean motion ratio, the prograde resonance is of order pq while the retrograde resonance is of order p+q).

Keywords: chaos; celestial mechanics; planets and satellites: dynamical evolution and stability; binaries: general; planetary systems

Journal Article.  6943 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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