منابع مشابه
The Kepler Problem with Anisotropic Perturbations
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We construct and analyze a generalization of the Kepler problem. These generalized Kepler problems are parameterized by a triple (D, κ, μ) where the dimension D ≥ 3 is an integer, the curvature κ is a real number, the magnetic charge μ is a half integer if D is odd and is 0 or 1/2 if D is even. The key to construct these generalized Kepler problems is the observation that the Young powers of th...
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The linearized Kepler problem is considered, as obtained from the Kustaanheimo-Stiefel (K-S) transformation, both for negative and positive energies. The symmetry group for the Kepler problem turns out to be SU(2, 2). For negative energies, the Hamiltonian of Kepler problem can be realized as the sum of the energies of four harmonic oscillator with the same frequency, with a certain constrain. ...
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We investigate the Kepler problem using a symplectic structure consistent with the commutation rules of the noncommutative quantum mechanics. We show that a noncommutative parameter of the order of 10m gives observable corrections to the movement of the solar system. In this way, modifications in the physics of smaller scales implies modifications at large scales, something similar to the UV/IR...
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ژورنال
عنوان ژورنال: Celestial Mechanics and Dynamical Astronomy
سال: 2007
ISSN: 0923-2958,1572-9478
DOI: 10.1007/s10569-007-9087-4