The Augmented Hill Three-Body problem is an extension of the classical Hill problem that, among other applications, has been used to model the motion of a solar sail around an asteroid. This model is a 3 degrees of freedom (3DoF) Hamiltonian system that depends on four parameters. This paper describes the bounded motions (periodic orbits and invariant tori) in an extended neighbourhood of some of the equilibrium points of the model. An interesting feature is the existence of equilibrium points with a 1:1 resonance, whose neighbourhood we also describe. The main tools used are the computation of periodic orbits (including their stability and bifurcations), the reduction of the Hamiltonian to centre manifolds at equilibria, and the numerical ...
This third edition text provides expanded material on the restricted three body problem and celestia...
Nonlinear approximation of periodic motions around the collinear equilibrium points in the case of t...
Two fundamental problems of celestial mechanics are considered: the stellar or planetary three-body ...
The Augmented Hill Three-Body problem is an extension of the classical Hill problem that, among othe...
Restricted three-body problem is a special version of n-body problem where an infinitesimal mass is ...
Transition to chaos in the planar, circular, restricted three body problem is investigated. In parti...
Abstract. Three-dimensional planetary systems are studied, using the model of the restricted three-b...
A way is described to find the initial conditions for the simplest three-dimensional periodic motio...
In this paper, the author deals with a well-known problem of Celestial Mechanics, namely the three-b...
This paper is devoted to the bifurcation of periodic orbits and libration points in the linked restr...
The paper deals with different kinds of invariant motions (periodic orbits, 2D and 3D invariant tori ...
KAM theory is a powerful tool apt to prove perpetual stability in Hamiltonian systems, which are a p...
In this paper we introduce a general methodology for computing (numerically) the normal form aroun...
The dynamics of a rigid body in a central gravitational eld can be modelled by a Hamiltonian system...
Many astrodynamical systems exhibit both ordered and chaotic motion. The invariant manifold structur...
This third edition text provides expanded material on the restricted three body problem and celestia...
Nonlinear approximation of periodic motions around the collinear equilibrium points in the case of t...
Two fundamental problems of celestial mechanics are considered: the stellar or planetary three-body ...
The Augmented Hill Three-Body problem is an extension of the classical Hill problem that, among othe...
Restricted three-body problem is a special version of n-body problem where an infinitesimal mass is ...
Transition to chaos in the planar, circular, restricted three body problem is investigated. In parti...
Abstract. Three-dimensional planetary systems are studied, using the model of the restricted three-b...
A way is described to find the initial conditions for the simplest three-dimensional periodic motio...
In this paper, the author deals with a well-known problem of Celestial Mechanics, namely the three-b...
This paper is devoted to the bifurcation of periodic orbits and libration points in the linked restr...
The paper deals with different kinds of invariant motions (periodic orbits, 2D and 3D invariant tori ...
KAM theory is a powerful tool apt to prove perpetual stability in Hamiltonian systems, which are a p...
In this paper we introduce a general methodology for computing (numerically) the normal form aroun...
The dynamics of a rigid body in a central gravitational eld can be modelled by a Hamiltonian system...
Many astrodynamical systems exhibit both ordered and chaotic motion. The invariant manifold structur...
This third edition text provides expanded material on the restricted three body problem and celestia...
Nonlinear approximation of periodic motions around the collinear equilibrium points in the case of t...
Two fundamental problems of celestial mechanics are considered: the stellar or planetary three-body ...