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- W1133376761 abstract "The classical Sp(1)-Kepler problems are formulated with the help of an idea from S. Sternberg. The trajectories of these models are determined via an idea originated from Levi-Civita. It is found that, for a non-colliding trajectory, its shadow–its projection to the external configuration space–is an ellipse, a parabola or a branch of hyperbola according as the total energy is negative, zero or positive. Moreover, it is shown that, for the Sp(1)-Kepler problems at level n≥2, the group SL(n,H)×R+ acts transitively on both the set of elliptic shadow trajectories and the set of parabolic shadow trajectories." @default.
- W1133376761 created "2016-06-24" @default.
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- W1133376761 date "2015-10-01" @default.
- W1133376761 modified "2023-10-01" @default.
- W1133376761 title "On the trajectories of Sp(1)-Kepler problems" @default.
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- W1133376761 doi "https://doi.org/10.1016/j.geomphys.2015.06.013" @default.
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