| Issue |
EAS Publications Series
Volume 42, 2010
Extrasolar Planets in Multi-Body Systems: Theory and Observations
|
|
|---|---|---|
| Page(s) | 385 - 391 | |
| DOI | https://doi.org/10.1051/eas/1042041 | |
| 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
Corresponding authors: c.migaszewski@astri.umk.pl ; k.gozdziewski@astri.umk.pl
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