Floating Bodies of Equilibrium in Three Dimensions. The central symmetric case
| dc.creator | Wegner, Franz | |
| dc.date | 2008-03-07 | |
| dc.date | 2009-04-22 | |
| dc.date.accessioned | 2026-07-07T13:06:33Z | |
| dc.date.available | 2026-07-07T13:06:33Z | |
| dc.description | Three-dimensional central symmetric bodies different from spheres that can float in all orientations are considered. For relative density rho=1/2 there are solutions, if holes in the body are allowed. For rho different from 1/2 the body is deformed from a sphere. A set of nonlinear shape-equations determines the shape in lowest order in the deformation. It is shown that a large number of solutions exists. An expansion scheme is given, which allows a formal expansion in the deformation to arbitrary order under the assumption that apart from x=0,+1,-1 there is no x, which obeys P_{p,2}(x)=0 for two different integer ps, where P are Legendre functions. | |
| dc.description | 29 pages, 2 figures, some misprints corrected | |
| dc.identifier | https://arxiv.org/abs/0803.1043 | |
| dc.identifier | http://arxiv.org/abs/0803.1043 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227816 | |
| dc.subject | Classical Physics | |
| dc.subject | General Physics | |
| dc.title | Floating Bodies of Equilibrium in Three Dimensions. The central symmetric case | |
| dc.type | text |