DOIAbstract
AbstractXia has recently proved that some solutions of the five body problem in three dimensions have singularities without collisions. We extend this result to the n-body problem in the plane
AbstractXia has recently proved that some solutions of the five body problem in three dimensions have singularities without collisions. We extend this result to the n-body problem in the plane
In this paper we show the existence of new families of spatial central configurations for the 7-body...
An action minimizing path between two given configurations, spatial or planar, of the $n$-body probl...
We introduce the $N$-body problem of mathematical celestial mechanics, and discuss its astronomical ...
AbstractXia has recently proved that some solutions of the five body problem in three dimensions hav...
AbstractA heuristic solution is described for the five body problem in the plane in which all five b...
Abstract. We study singularities of the n-body problem in spaces of con-stant curvature and generali...
Abstract. We analyze the singularities of the equations of motion and several types of singular solu...
Abstract. In this paper, we show that there is a Cantor set of initial con-ditions in a planar four-...
AbstractIn the n-body problem a collision singularity occurs when the positions of two or more bodie...
Analytical methods are used to prove the existence of a periodic, symmetric solution with singularit...
The simplest non-collision solutions of the N-body problem are the “relative equilibria”, in which e...
Abstract. For the planar and spatial N-body problems, it has been proved by Marchal and Chenciner th...
In this paper we show the existence of new families of convex and concave spatial central configurat...
The simplest non-collision solutions of the N-body problem are the ``relative equilibria'', in which...
Abstract. In the N-body problem, it is a simple observation that relative equilibria (planar solutio...
In this paper we show the existence of new families of spatial central configurations for the 7-body...
An action minimizing path between two given configurations, spatial or planar, of the $n$-body probl...
We introduce the $N$-body problem of mathematical celestial mechanics, and discuss its astronomical ...
AbstractXia has recently proved that some solutions of the five body problem in three dimensions hav...
AbstractA heuristic solution is described for the five body problem in the plane in which all five b...
Abstract. We study singularities of the n-body problem in spaces of con-stant curvature and generali...
Abstract. We analyze the singularities of the equations of motion and several types of singular solu...
Abstract. In this paper, we show that there is a Cantor set of initial con-ditions in a planar four-...
AbstractIn the n-body problem a collision singularity occurs when the positions of two or more bodie...
Analytical methods are used to prove the existence of a periodic, symmetric solution with singularit...
The simplest non-collision solutions of the N-body problem are the “relative equilibria”, in which e...
Abstract. For the planar and spatial N-body problems, it has been proved by Marchal and Chenciner th...
In this paper we show the existence of new families of convex and concave spatial central configurat...
The simplest non-collision solutions of the N-body problem are the ``relative equilibria'', in which...
Abstract. In the N-body problem, it is a simple observation that relative equilibria (planar solutio...
In this paper we show the existence of new families of spatial central configurations for the 7-body...
An action minimizing path between two given configurations, spatial or planar, of the $n$-body probl...
We introduce the $N$-body problem of mathematical celestial mechanics, and discuss its astronomical ...
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