arXiv
Open Access
2002
Floating Bodies of Equilibrium II
Franz Wegner
Abstrak
In a previous paper (physics/0203061) ''Floating bodies of equilibrium I'' I have shown that there exist two-dimensional non-circular cross-sections of bodies of homogeneous densities rho not equal 1/2 which can float in any orientation in water, which have a p-fold rotation axis. For given p they exist for p-2 different densities. However, this was found only in a Taylor-expansion in a parameter which describes the distortion from the circular shape up to seventh order. Here a differential equation for the boundary curve is given and the non-circular boundary curve can be expressed in terms of an elliptic integral.
Topik & Kata Kunci
Penulis (1)
F
Franz Wegner
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2002
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓