Relativistic model of the Lidov-Kozai resonance in binaries
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.