Correction added after online publication 2012 June 19: typesetting error corrected.
1365-2966/asset/olbannerleft.gif?v=1&s=87f89c955da459679648fd327771ae82f16e5b8e)
1365-2966/asset/olbannerright.gif?v=1&s=08ebd3f71adfe4db0c1f9f65790c139e62520103)
Stability of prograde and retrograde planets in circular binary systems
Article first published online: 29 MAY 2012
DOI: 10.1111/j.1365-2966.2012.21151.x
© 2012 The Authors Monthly Notices of the Royal Astronomical Society © 2012 RAS
Additional Information
How to Cite
Morais, M. H. M. and Giuppone, C. A. (2012), Stability of prograde and retrograde planets in circular binary systems. Monthly Notices of the Royal Astronomical Society, 424: 52–64. doi: 10.1111/j.1365-2966.2012.21151.x
- †
Correction added after online publication 2012 June 19: typesetting error corrected.
Publication History
- Issue published online: 5 JUL 2012
- Article first published online: 29 MAY 2012
- Accepted 2012 April 20. Received 2012 April 9; in original form 2012 February 27
- Abstract
- Article
- References
- Cited By
Keywords:
- chaos;
- celestial mechanics;
- planets and satellites: dynamical evolution and stability;
- binaries: general;
- planetary systems
ABSTRACT
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 p−q while the retrograde resonance is of order p+q).†