dorsal/arxiv
View SchemaFloating Bodies of Equilibrium in 2D, the Tire Track Problem and Electrons in a Parabolic Magnetic Field
| Authors | Franz J. Wegner |
|---|---|
| Categories | |
| ArXiv ID | physics/0701241 |
| URL | https://arxiv.org/abs/physics/0701241 |
Abstract
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.
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"abstract": "Explicit solutions of the two-dimensional floating body problem (bodies that\ncan float in all positions) for relative density different from 1/2 and of the\ntire track problem (tire tracks of a bicycle, which do not allow to determine,\nwhich way the bicycle went) are given, which differ from circles. Starting\npoint is the differential equation given by the author in archive\nphysics/0205059 and Studies in Appl. Math. 111 (2003) 167-183. The curves are\nalso trajectories of charges in a perpendicular magnetic field.",
"arxiv_id": "physics/0701241",
"authors": [
"Franz J. Wegner"
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"title": "Floating Bodies of Equilibrium in 2D, the Tire Track Problem and Electrons in a Parabolic Magnetic Field",
"url": "https://arxiv.org/abs/physics/0701241"
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