Add to ORKGAbstract. For the planar and spatial N-body problems, it has been proved by Marchal and Chenciner that solutions for the minimizing problem with fixed ends are free from interior colli-sions. This important result has been extended by Ferrario-Terracini to Newtonian-type problems and equivariant problems, and has been used to construct many symmetric solutions for the N-body problem. In this paper we are interested in action minimizing solutions in function spaces with free boundaries. Imposed to the function spaces are boundary conditions such that every mass point starts and ends on two transversal proper subspaces of Rd, d ≥ 2. We will prove that solutions for this minimizing problem with free boundaries are always free from collisions, ...
In the first two lectures, hamiltonian techniques are applied to avatars of the N-body problem of in...
The simplest non-collision solutions of the N-body problem are the “relative equilibria”, in which e...
AbstractXia has recently proved that some solutions of the five body problem in three dimensions hav...
For the planar and spatial N-body problems, it has been proved by Marchal and Chenciner that solutio...
An action minimizing path between two given configurations, spatial or planar, of the $n$-body probl...
AbstractThe Newtonian N-body problem admits uniformly rotating relative equilibrium solutions in the...
Communication to : 3rd meeting on celestial mechanics, Rome (Italie), June 18-22, 2001SIGLEAvailable...
Abstract. We analyze the singularities of the equations of motion and several types of singular solu...
In this paper we prove the existence of a new periodic solution for the planar Newtonian four-body p...
Abstract. Recently A. Chenciner and R. Montgomery found a remarkable periodic orbit for a three-body...
We prove the existence of a number of smooth periodic motions u(*) of the classical Newtonian N-body...
Abstract. We study singularities of the n-body problem in spaces of con-stant curvature and generali...
AbstractUsing variational minimization methods, we prove the existence of one noncollision periodic ...
Abstract. In this paper, we show that there is a Cantor set of initial con-ditions in a planar four-...
In this thesis we study two types of planar N-body problems: the motion of N point masses in a plane...
In the first two lectures, hamiltonian techniques are applied to avatars of the N-body problem of in...
The simplest non-collision solutions of the N-body problem are the “relative equilibria”, in which e...
AbstractXia has recently proved that some solutions of the five body problem in three dimensions hav...
For the planar and spatial N-body problems, it has been proved by Marchal and Chenciner that solutio...
An action minimizing path between two given configurations, spatial or planar, of the $n$-body probl...
AbstractThe Newtonian N-body problem admits uniformly rotating relative equilibrium solutions in the...
Communication to : 3rd meeting on celestial mechanics, Rome (Italie), June 18-22, 2001SIGLEAvailable...
Abstract. We analyze the singularities of the equations of motion and several types of singular solu...
In this paper we prove the existence of a new periodic solution for the planar Newtonian four-body p...
Abstract. Recently A. Chenciner and R. Montgomery found a remarkable periodic orbit for a three-body...
We prove the existence of a number of smooth periodic motions u(*) of the classical Newtonian N-body...
Abstract. We study singularities of the n-body problem in spaces of con-stant curvature and generali...
AbstractUsing variational minimization methods, we prove the existence of one noncollision periodic ...
Abstract. In this paper, we show that there is a Cantor set of initial con-ditions in a planar four-...
In this thesis we study two types of planar N-body problems: the motion of N point masses in a plane...
In the first two lectures, hamiltonian techniques are applied to avatars of the N-body problem of in...
The simplest non-collision solutions of the N-body problem are the “relative equilibria”, in which e...
AbstractXia has recently proved that some solutions of the five body problem in three dimensions hav...