Abstract

In this work, the problems of a uniformly magnetized sphere in magnetic field are solved for modeling the magnetic properties of Saturn’s rings particles, with the problem of a sphere in an infinite “disk” of evenly distributed identical spheres being formulated and solved for the first time. The found magnetic moments of the spheres are used in deriving the equations of motion of the particles in the gravitational and magnetic field. The solutions of two special cases of these equations indicate that the diamagnetic expulsion in combination with the gravitational attraction to the planet is a plausible cause of stability of Saturn’s rings, and the semi-analytically calculated formation time of the stable orbits is some tens of millennia.

Keywords

saturn rings, outer space superconductivity, diamagnetic expulsion, outer space ice, orthorhombic ice XI, peculiarity, particle sizes, ring particles, magnetic field, quantum proton transfer, hydrogen bonds, magnetic permeability, Lenz’s law, flux density, magnetic force