Dynamics of Planetary Systems in Counter-revolving Configurations

Astronomy and Astrophysics – Astronomy

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Scientific paper

Multi-planet systems detected until now are in most cases characterized by hot-Jupiters close to their central star as well as high eccentricities. As a consequence, from a dynamical point of view, compact multi-planetary systems form a variety of the general N-body problem (with N > 2), whose solutions are not necessarily known. Extrasolar planets are up to now a priori found in direct orbital motions about their host star. Besides, stabilizing mechanisms of these multi-planet systems frequently involve mean-motion resonances (MMR).
We investigate a theoretical alternative suitable for the stability of compact two-planet systems. When planets are in counter-revolving configurations (which means that one of the two planets moves on a retrograde orbit), we find that the resulting retrograde MMRs present fine and characteristic structures particularly relevant for dynamical stability. By combining our Hamiltonian technique with our numerical method of global analysis called MIPS (Megno Indicator for Planetary Orbits), we show that retrograde resonances and their resources open a family of stabilizing mechanisms involving specific behaviors of apsidal precessions. We also point out that for particular orbital data, retrograde resonances may provide more robust stability compared to the corresponding prograde MMRs.
Fitting the HD73526 planetary system to the most recent observations, we find that counter-revolving configurations may be consistent with the observational data. In the end, we propose two feasible mechanisms that might explain the origin of systems harboring counter-revolving planets.

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