Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898581 | Journal of Geometry and Physics | 2013 | 10 Pages |
Abstract
It is demonstrated that, for the recently introduced classical magnetized Kepler problems in dimension 2k+12k+1, the non-colliding orbits in the “external configuration space” R2k+1∖{0} are all conics; moreover, a conic orbit is an ellipse, a parabola, or a branch of a hyperbola according as the total energy is negative, zero, or positive. It is also demonstrated that the Lie group SO+(1,2k+1)×R+ acts transitively on both the set of oriented elliptic orbits and the set of oriented parabolic orbits.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Zhanqiang Bai, Guowu Meng, Erxiao Wang,