Relativistic Lidov-Kozai resonance in binaries
Cezary Migaszewski, Krzysztof Gozdziewski
TL;DR
This paper investigates how general relativity affects the long-term orbital dynamics of planets in binary systems, identifying conditions where relativistic effects are significant and applying findings to specific exoplanet systems.
Contribution
It introduces a framework for analyzing relativistic effects in hierarchical three-body systems and constrains planetary inclinations in specific binary star systems.
Findings
Relativistic corrections can significantly influence orbital evolution.
Identified parameter regions where relativity impacts long-term dynamics.
Applied analysis to constrain planetary inclinations in HD 4113 and HD 156846.
Abstract
We consider the secular dynamics of a binary and a planet in terms of non-restricted, hierarchical three-body problem, including the general relativity corrections to the Newtonian gravity. We determine regions in the parameter space where the relativistic corrections may be important for the long-term dynamics. We try to constrain the inclinations of putative Jovian planets in recently announced binary systems of HD 4113 and HD 156846.
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