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 …

We use 23 yr of astrometric and radial velocity data on the orbit of the star S0-2 to constrain
a hypothetical intermediate-mass black hole orbiting the massive black hole Sgr A* at the …

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 …

Most giant exoplanets discovered by radial velocity surveys have much higher eccentricities
than those in the solar system. The planet–planet scattering mechanism has been shown to …

We study nodal librations of outer particles in the framework of the elliptical restricted three-
body problem including general relativity (GR) effects. From an analytical treatment based …

A particle orbiting a misaligned eccentric orbit binary undergoes nodal precession either
around the binary angular momentum vector (a circulating orbit) or around a stationary …

We study the stationary points of the hierarchical three body problem in the planetary limit (m
1, m 2≪ m 0) at both the quadrupole and octupole orders. We demonstrate that the …

The behaviour of an interior test particle in the secular three-body problem has been studied
extensively. A well-known feature is the Lidov–Kozai resonance in which the test particle's …

Recent observational campaigns have shown that multiplanet systems seem to be abundant
in our Galaxy. Moreover, it seems that these systems might have distant companions, either …

Three-body interactions are ubiquitous in astrophysics. For instance, Kozai–Lidov
oscillations in hierarchical triple systems have been studied extensively and applied to a …