Floating Bodies of Equilibrium II
نویسنده
چکیده
In a previous paper (physics/0203061) ”Floating bodies of equilibrium” we have shown that there exist two-dimensional non-circular crosssections of bodies of homogeous density ρ 6= 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 described 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.
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