Floating Bodies of Equilibrium. Explicit Solution
Abstract
Description
Explicit solutions of the two-dimensional floating body problem (bodies that can float in all positions) for relative density rho 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 in archive physics/0205059 and Studies in Appl. Math. 111 (2003) 167-183.
25 pages, two figures. Factors and signs in eqs. 48,61,64,65,70,73,74, 150,176,177,186 corrected. Minor corrections in the text
25 pages, two figures. Factors and signs in eqs. 48,61,64,65,70,73,74, 150,176,177,186 corrected. Minor corrections in the text