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Kepler unbound: some elegant curiosities of classical mechanics
- Publication Year :
- 2014
-
Abstract
- We describe 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.<br />Comment: 15 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1406.5866
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1119/1.4895393