Journal
ASTROPHYSICAL JOURNAL
Volume 649, Issue 2, Pages 1004-1009Publisher
UNIV CHICAGO PRESS
DOI: 10.1086/506145
Keywords
planetary systems
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This paper studies the long-term evolution of planetary systems containing short-period planets, including the effects of tidal circularization, secular excitation of eccentricity by companion planets, and stellar damping. For planetary systems subject to all of these effects, analytic solutions (or approximations) are presented for the time evolution of the semimajor axes and eccentricities. Secular interactions enhance the inward migration and accretion of hot Jupiters, while general relativity tends to act in opposition by reducing the effectiveness of the secular perturbations. The analytic solutions presented herein allow us to understand these effects over a wide range of parameter space and to isolate the effects of general relativity in these planetary systems.
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