Wandering Among Newton Wonders

Details Wandering Among Newton Wonders Wandering Among Newton Wonders

2000-07-11

arxiv.org/abs/astro-ph/0007134v2

Observatory, Vol 120, No. 1156, pp 192-194, 2000 June

Astronomy and Astrophysics

Astrophysics

6 Pages, Latex, No Figures, minor revisions made to abstract only on 20th July 2000

Scientific paper

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.

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