Wandering Among Newton Wonders
Astrophysics
2007-05-23 v2
Abstract
In the electromagnetic fields t^2 B = b(r/t), E = r x B/t trajectories of non-relativistic charged particles conserve (r-vt)^2. The transformation r'=r/t t'=1/t maps such trajectories into orbits in the constant magnetic field all of which conserve kinetic energy. The transformation may also be used to transform any fields obeying Curl E = B/dt, div B = 0 into others and relates the particle trajectories in them.
Keywords
Cite
@article{arxiv.astro-ph/0007134,
title = {Wandering Among Newton Wonders},
author = {Donald Lynden-Bell},
journal= {arXiv preprint arXiv:astro-ph/0007134},
year = {2007}
}
Comments
6 Pages, Latex, No Figures, minor revisions made to abstract only on 20th July 2000