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 large planet where the moons move in nearly circular orbits with almost equal radii. The approach is based on a combination of normal form and symplectic reduction theories and the application of a KAM theorem for high-order degenerate systems. To accomplish our results we need to expand the Hamiltonian of the three-body problem as a perturbation of two uncoupled Kepler problems. This approximation is valid in the region of phase space where co-orbital solutions occur.Peer ReviewedPostprint (author's final draft
KAM theory is a powerful tool apt to prove perpetual stability in Hamiltonian systems, which are a p...
As destinations of missions in both human and robotic spaceflight become more exotic, a foundational ...
email jllibrematuabes ollemaupces We consider the motion of coorbital satellites in the framework ...
Within the framework of the planar three-body problem we establish the existence of quasi-periodic m...
55 pages, 5 figuresInternational audienceJanus and Epimetheus are two moons of Saturn which follow v...
We consider the dynamics of coorbital motion of two small moons about a large planet which have near...
25 pages. Accepted for publication in Celestial Mechanics and Dynamical Astronomy.We develop an anal...
International audienceIn the framework of the Restricted Three-body Problem (RTBP), we consider a pr...
International audienceIn the framework of the planar and circular restricted three-body problem, we ...
This paper provides a description of the motion of Saturn coorbital satellites Janus and Epimetheus ...
The focus of this work is the current distribution of asteroids in co-orbital motion with Venus, Ear...
This paper provides a description of the motion of Saturn coorbital satellites Janus and Epimetheus ...
KAM theory is a powerful tool apt to prove perpetual stability in Hamiltonian systems, which are a ...
For any N >= 2 we prove the existence of quasi-periodic orbits lying on N- dimensional invariant ell...
Arnold proved that the KAM theorem applies to the plane planetary three-body problem, yet Hénon gave...
KAM theory is a powerful tool apt to prove perpetual stability in Hamiltonian systems, which are a p...
As destinations of missions in both human and robotic spaceflight become more exotic, a foundational ...
email jllibrematuabes ollemaupces We consider the motion of coorbital satellites in the framework ...
Within the framework of the planar three-body problem we establish the existence of quasi-periodic m...
55 pages, 5 figuresInternational audienceJanus and Epimetheus are two moons of Saturn which follow v...
We consider the dynamics of coorbital motion of two small moons about a large planet which have near...
25 pages. Accepted for publication in Celestial Mechanics and Dynamical Astronomy.We develop an anal...
International audienceIn the framework of the Restricted Three-body Problem (RTBP), we consider a pr...
International audienceIn the framework of the planar and circular restricted three-body problem, we ...
This paper provides a description of the motion of Saturn coorbital satellites Janus and Epimetheus ...
The focus of this work is the current distribution of asteroids in co-orbital motion with Venus, Ear...
This paper provides a description of the motion of Saturn coorbital satellites Janus and Epimetheus ...
KAM theory is a powerful tool apt to prove perpetual stability in Hamiltonian systems, which are a ...
For any N >= 2 we prove the existence of quasi-periodic orbits lying on N- dimensional invariant ell...
Arnold proved that the KAM theorem applies to the plane planetary three-body problem, yet Hénon gave...
KAM theory is a powerful tool apt to prove perpetual stability in Hamiltonian systems, which are a p...
As destinations of missions in both human and robotic spaceflight become more exotic, a foundational ...
email jllibrematuabes ollemaupces We consider the motion of coorbital satellites in the framework ...