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Regularization of the Kepler problem on the Sphere
Regularization of the Kepler problem the Sphere Dynamical Systems
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2012/6/29
In this paper we regularize the Kepler problem on $S^3$ in several different ways. First, we perform a Moser-type regularization. Then, we adapt the Ligon-Schaaf regularization to our problem. Finally...
Orbits of the Kepler problem via polar reciprocals
Orbits the Kepler problem via polar reciprocals
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2011/8/2
Orbits of the Kepler problem via polar reciprocals.
From geodesics of the multipole solutions to the perturbed Kepler problem
geodesics multipole solutions perturbed Kepler problem
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2010/12/20
A static and axisymmetric solution of the Einstein vacuum equations with a finite number of Relativistic Multipole Moments (RMM) is writ-ten in MSA coordinates up to certain order of approximation, an...