EAS Publications Series
Volume 42, 2010Extrasolar Planets in Multi-Body Systems: Theory and Observations
|Page(s)||385 - 391|
|Published online||19 April 2010|
K. Goździewski, A. Niedzielski and J. Schneider (eds)
EAS Publications Series, 42 (2010) 385-391
Relativistic model of the Lidov-Kozai resonance in binaries
Toruń Centre for Astronomy, Nicolaus Copernicus University,
Gagarin Str. 11, 87-100 Toruń, Poland
We consider the hierarchical three-body problem, with a binary and a planet-mass object. We investigate the effect of general relativity (GR) corrections to the Newtonian interactions. We focus on the Lidov-Kozai resonance, and the secular dynamics are analyzed over wide ranges of the semi-major axes and masses. We found regions in the parameter space where the GR corrections may be important for the long-term dynamics. We try to constrain the inclinations of putative Jovian planets in the recently announced binary systems of HD 4113 and HD 156846.
© EAS, EDP Sciences, 2010
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