Higher-order effects in the dynamics of hierarchical triple systems: Quadrupole-squared terms
Higher-order effects in the dynamics of hierarchical triple systems: Quadrupole-squared terms
We analyze the secular evolution of hierarchical triple systems to second order in the quadrupolar perturbation induced on the inner binary by the distant third body. The Newtonian three-body equations of motion, expanded in powers of the ratio of semimajor axes $a/A$, become a pair of effective one-body Keplerian equations …