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astro-ph.EP2025
Eccentric von Zeipel-Lidov-Kozai effects under mildly hierarchical triple systems: Influence of Brown corrections upon orbit flipping
Hao Gao, Hanlun Lei
Mildly hierarchical three-body systems are widespread in the Universe, exemplified by planets in stellar binaries and stars in black-hole binaries. In such systems, Brown Hamiltoni…
astro-ph.EP2025
Extensions of Brown Hamiltonian-II. Analytical study on the modified von Zeipel-Lidov-Kozai effects
Hanlun Lei, Evgeni Grishin
In triple systems of weak hierarchies, nonlinear perturbations arising from the periodic oscillations associated with the inner and outer binaries play a crucial role in shaping th…
astro-ph.EP2025
Extensions of Brown Hamiltonian-I. A high-accuracy model for von Zeipel-Lidov-Kozai oscillations
Hanlun Lei, Evgeni Grishin
Triple systems with low hierarchical structure are common throughout the Universe, including examples such as high-altitude lunar satellites influenced by the Earth, planetary sate…