Article ID Journal Published Year Pages File Type
1898581 Journal of Geometry and Physics 2013 10 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
, , ,