Over the course of the past two decades, observational surveys have unveiled the intricate
orbital structure of the Kuiper Belt, a field of icy bodies orbiting the Sun beyond Neptune. In …

The so-called Lidov-Kozai oscillation is very well known and applied to various problems in
solar system dynamics. This mechanism makes the orbital inclination and eccentricity of the …

This article reviews the different mechanisms affecting the orbits of trans-Neptunian objects,
ranging from internal perturbations (planetary scattering, mean-motion resonances, and …

We derive, and discuss the properties of, a symplectic map for the dynamics of bodies on
nearly parabolic orbits. The orbits are perturbed by a planet on a circular, coplanar orbit …

The hierarchical nature of galaxy formation suggests that a supermassive black hole binary
could exist in our galactic center. We propose a new approach to constraining the possible …

The secular approximation of the hierarchical three body systems has been proven to be
very useful in addressing many astrophysical systems, from planets to stars to black holes. In …

We report the discovery and dynamical analysis of 2015 BP 519, an extreme trans-
Neptunian object (TNO) detected by the Dark Energy Survey at a heliocentric distance of 55 …

We propose a semianalytical method for the calculation of widths, libration centers and small-
amplitude libration periods of the mean motion resonances k_p kp: k in the framework of the …

Context. Dynamical studies suggest that most circumbinary discs (CBDs) should be
coplanar (ie the rotation vectors of the binary and the disc should be aligned). However …

I consider the dynamics of mean-motion resonances (MMRs) between pairs of coplanar
planets and derive a new integrable Hamiltonian model for the planets' resonant motion …