%0 Generic %1 batygin2012dissipative %A Batygin, Konstantin %A Morbidelli, Alessandro %D 2012 %K 2012 Batygin Morbidelli %T Dissipative Divergence of Resonant Orbits %U http://arxiv.org/abs/1204.2791 %X A considerable fraction of multi-planet systems discovered by the observational surveys of extrasolar planets reside in mild proximity to first-order mean motion resonances. However, the relative remoteness of such systems from nominal resonant period ratios (e.g. 2:1, 3:2, 4:3) has been interpreted as evidence for lack of resonant interactions. Here we show that a slow divergence away from exact commensurability is a natural outcome of dissipative evolution and demonstrate that libration of critical angles can be maintained tens of percent away from nominal resonance. We construct an analytical theory for the long-term dynamical evolution of dissipated resonant planetary pairs and confirm our calculations numerically. Collectively, our results suggest that a significant fraction of the near-commensurate extrasolar planets are in fact resonant and have undergone significant dissipative evolution.

@misc{batygin2012dissipative, abstract = {A considerable fraction of multi-planet systems discovered by the observational surveys of extrasolar planets reside in mild proximity to first-order mean motion resonances. However, the relative remoteness of such systems from nominal resonant period ratios (e.g. 2:1, 3:2, 4:3) has been interpreted as evidence for lack of resonant interactions. Here we show that a slow divergence away from exact commensurability is a natural outcome of dissipative evolution and demonstrate that libration of critical angles can be maintained tens of percent away from nominal resonance. We construct an analytical theory for the long-term dynamical evolution of dissipated resonant planetary pairs and confirm our calculations numerically. Collectively, our results suggest that a significant fraction of the near-commensurate extrasolar planets are in fact resonant and have undergone significant dissipative evolution.}, added-at = {2014-08-01T15:44:37.000+0200}, author = {Batygin, Konstantin and Morbidelli, Alessandro}, biburl = {https://www.bibsonomy.org/bibtex/2b82e8b540bb793bebc52c550a79affdf/danielcarrera}, description = {Dissipative Divergence of Resonant Orbits}, interhash = {e06f170cd0037e5b30fb6732f73f7dbc}, intrahash = {b82e8b540bb793bebc52c550a79affdf}, keywords = {2012 Batygin Morbidelli}, note = {cite arxiv:1204.2791Comment: 10 pages, 6 figures, accepted to AJ}, timestamp = {2014-08-26T22:58:53.000+0200}, title = {Dissipative Divergence of Resonant Orbits}, url = {http://arxiv.org/abs/1204.2791}, year = 2012 }