2007/01/22 by Wegner, Franz J. · 1 citation
#Classical Physics (physics.class-ph) #FOS: Physical sciences #General Physics (physics.gen-ph)
paper · doi:10.48550/arxiv.physics/0701241
Explicit solutions of the two-dimensional floating body problem (bodies that can float in all positions) for relative density different from 1/2 and of the tire track problem (tire tracks of a bicycle, which do not allow to determine, which way the bicycle went) are given, which differ from circles. Starting point is the differential equation given by the author in archive physics/0205059 and Studies in Appl. Math. 111 (2003) 167-183. The curves are also trajectories of charges in a perpendicular magnetic field.