Stability of prograde and retrograde planets in circular binary systems

Details Stability of prograde and retrograde planets in circular binary systems Stability of prograde and retrograde planets in circular binary systems

2012-04-20

arxiv.org/abs/1204.4718v1

Astronomy and Astrophysics

Astrophysics

Earth and Planetary Astrophysics

13 pages, 10 figures; MNRAS, accepted

Scientific paper

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 CR3BP. 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, prograde resonance is of order p - q while retrograde resonance is of order p + q).

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