1. Kepler unbound: Some elegant curiosities of classical mechanics.
- Author
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MacKay, Niall J. and Salour, Sam
- Subjects
- *
MAGNETIC monopoles , *KEPLER'S equation , *PHYSICS research , *TWO-body problem (Physics) , *KEPLER problem - Abstract
We explain two exotic systems of classical mechanics: the McIntosh-Cisneros-Zwanziger ("MICZ") Kepler system, of motion of a charged particle in the presence of a modified dyon; and Gibbons and Manton's description of the slow motion of well-separated solitonic ("BPS") monopoles using Taub-NUT space. Each system is characterized by the conservation of a Laplace-Runge-Lenz vector, and we use elementary vector techniques to show that each obeys a subtly different variation on Kepler's three laws for the Newton-Coulomb two-body problem, including a new modified Kepler third law for BPS monopoles. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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