Formulae to compute the mutual potential, force, and torque between two rigid bodies are
given. These formulae are expressed in Cartesian coordinates using inertia integrals. They …

In this work, we introduce a modified double-averaging approach by considering the short-
term effects and formulate a more accurate double-averaged Hamiltonian (in comparison to …

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 …

We analyze the secular evolution of hierarchical triple systems in the post-Newtonian
approximation to general relativity. We expand the Newtonian three-body equations of …

The present paper studies the lifetime of orbits around a moon that is in orbit around its
mother planet. In the context of the inner restricted three-body problem, the dynamical model …

Dense stellar systems such as globular clusters are believed to harbour merging binary
black holes (BHs). The evolution of such binaries is driven by interactions with other stars …

The Aster mission is the first proposed Brazilian deep space mission. The target is the triple
near-Earth asteroid (153591) 2001 SN 263. This work searches for less-disturbed orbital …

The semi-analytical model (based on the averaging technique) for long-term orbital
evolution has proven to be useful in both astrophysical and astrodynamical contexts. In this …

This work studies the secular resonance associated with the critical argument σ= ϖ (ϖ is the
longitude of pericentre) for inner test particles moving in low-eccentricity region with …

This paper focuses on the analysis on the nonlinear dynamics of two first-order 2: 3 external
and 3: 2 internal mean motion resonances (MMRs) for three-body formed by two massive …