Relativistic model of the Lidov-Kozai resonance in binaries

Details Relativistic model of the Lidov-Kozai resonance in binaries Relativistic model of the Lidov-Kozai resonance in binaries

Apr 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010eas....42..385m&link_type=abstract

EAS Publications Series, Volume 42, 2010, pp.385-391

Physics

Scientific paper

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.

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