We compute families of symmetric periodic horseshoe orbits in the restricted three-body
problem. Both the planar and three-dimensional cases are considered and several families …

In this paper, we consider horseshoe motion in the planar restricted three-body problem. On
one hand, we deal with the families of horseshoe periodic orbits (HPOs)(which surround …

This paper deals with the full gravitational N-body problem. We express the Newton--Euler
equations of motion into the Hamiltonian formalism employing a noncanonical Poisson …

Abstract The Restricted 3-Body Problem models the motion of a body of negligible mass
under the gravitational influence of two massive bodies called the primaries. If one assumes …

The description of unstable motions in the Restricted Planar Circular 3-Body Problem,
modeling the dynamics of a Sun-Planet-Asteriod system, is one of the fundamental problems …

A classical approach to the restricted three-body problem is to analyze the dynamics of the
massless body in the synodic reference frame. A different approach is represented by the …

Janus and Epimetheus are two moons of Saturn with very peculiar motions. As they orbit
around Saturn on quasi-coplanar and quasi-circular trajectories whose radii are only 50 km …

The``Fundamental Theorem" given by Arnold in [2] asserts the persistence of full
dimensional invariant tori for 2-scale Hamiltonian systems. However, persistence in multi …

Within the framework of the planar three-body problem we establish the existence of quasi-
periodic motions and KAM 4-tori related to the co-orbital motion of two small moons about a …

Using collinear reversible configurations and some properties of symmetry we obtain
horseshoe periodic orbits in the general planar threebody problem with masses m1≫ m2≥ …