Dynamical Implications Of Planetary Resonance Crossings

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Crossing of a mutual mean-motion resonance by two divergently migrating exoplanets was originally proposed by Chiang et al.(2002) to explain high eccentricities in extrasolar systems. More recently, Tsiganis et al. (2005; together with companion papers known as the "Nice model") have proposed the 1:2 resonance crossing by Jupiter and Saturn as the source of their eccentricities, as well as a way of capturing Jupiter's Trojans and possibly causing the Late Heavy Bombardment. While the known exosystems are mostly very different dynamically from our own, it is interesting to explore possible effects of a "Nice model"-like event in other architectures. So far, we identified two interesting implications of resonance-crossing: destabilization of pairs featuring a very massive planet (>3 Jovian masses) and imposition of anti-aligned secular libration in almost all cases. The first finding offers a plausible route by which planets can form on stable orbits but can then become unstable and scatter. It also makes it clear that many of the known exoplanet pairs could not have evolved into a Solar-System-like configuration, even if they formed on exactly the same orbits as Jupiter and Saturn.
The second finding contradicts not only tentatively identified trends in exoplanet secular behavior (Barnes and Greenberg 2006), but also the dynamical architecture of our system. Early analysis of the problem indicates that resonance crossing can excite only the anti-aligned mode of the first-order secular solution, and not the aligned one. This indicates that there might be other dynamical effects on the planets following the resonance crossing, possibly interactions with the planetesimal disk. These interactions could also significantly change the critical mass above which planets cannot survive a 1:2 resonance passage without the onset of instability.

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