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arxiv 1204.2791 v2 pith:4MUFVHLR submitted 2012-04-12 astro-ph.EP

Dissipative Divergence of Resonant Orbits

classification astro-ph.EP
keywords resonantdissipativeevolutionawaydivergenceextrasolarfractionnominal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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    astro-ph.EP 2026-07 conditional novelty 5.0

    A matrix-based extension of Papaloizou (2015) gives the tidal separation timescale T for N-planet chains and converts observed offsets into effective Q' bounds, with special sensitivity to the second and outermost pla...