AbstractTake any nonresonant relative equilibrium solution of the N-body problem. Then there is a periodic solution of the (N + 1)-body problem where N of the particles remain close to the relative equilibrium solution and the remaining particle is close to a circular orbit of the Kepler problem encircling the center of mass of the N-particle system
We study the necessary and sufficient conditions on the masses for the periodic solution of planar 4...
We give a new formulation of the N-Body Problem that is free from the drawbacks of the classical one...
We investigate the natural families of periodic orbits associated with the equilibrium configuration...
AbstractThis paper proves the existence of six new classes of periodic solutions to the N-body probl...
The theory of complex dynamics is usually applied to compare the global convergence properties of d...
The N-body problem is the classical prototype of a Hamiltonian system with a large symmetry group an...
We introduce the $N$-body problem of mathematical celestial mechanics, and discuss its astronomical ...
We prove existence and multiplicity of T-periodic solutions (for any given T) for the N-body problem...
The closure of periodic orbits in the phase space of the spatial, planetary N–body problem (with wel...
AbstractThis paper studies the dynamics of the four body problem as a limiting system with two of th...
Analytical methods are used to prove the existence of a periodic, symmetric solution with singularit...
Abstract. The purpose of this article is two fold. First, we show how quasi-periodic solutions for t...
We prove existence and multiplicity of T-periodic solutions (for any given T) for the N-body problem...
Using the continuation method we prove that the circular and the elliptic symmetric periodic orbits ...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
We study the necessary and sufficient conditions on the masses for the periodic solution of planar 4...
We give a new formulation of the N-Body Problem that is free from the drawbacks of the classical one...
We investigate the natural families of periodic orbits associated with the equilibrium configuration...
AbstractThis paper proves the existence of six new classes of periodic solutions to the N-body probl...
The theory of complex dynamics is usually applied to compare the global convergence properties of d...
The N-body problem is the classical prototype of a Hamiltonian system with a large symmetry group an...
We introduce the $N$-body problem of mathematical celestial mechanics, and discuss its astronomical ...
We prove existence and multiplicity of T-periodic solutions (for any given T) for the N-body problem...
The closure of periodic orbits in the phase space of the spatial, planetary N–body problem (with wel...
AbstractThis paper studies the dynamics of the four body problem as a limiting system with two of th...
Analytical methods are used to prove the existence of a periodic, symmetric solution with singularit...
Abstract. The purpose of this article is two fold. First, we show how quasi-periodic solutions for t...
We prove existence and multiplicity of T-periodic solutions (for any given T) for the N-body problem...
Using the continuation method we prove that the circular and the elliptic symmetric periodic orbits ...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
We study the necessary and sufficient conditions on the masses for the periodic solution of planar 4...
We give a new formulation of the N-Body Problem that is free from the drawbacks of the classical one...
We investigate the natural families of periodic orbits associated with the equilibrium configuration...
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