Contribution of magnetism to the Saturn rings origin

TL;DR

This paper investigates how magnetic forces, specifically diamagnetism, contribute to the stability and formation of Saturn's rings by deriving magnetization relationships and solving particle motion equations.

Contribution

It introduces a model combining gravitational and magnetic interactions to explain Saturn rings' stability, including exact solutions for special cases.

Findings

Magnetic repulsion can counteract gravitational attraction in Saturn rings.

Diamagnetism of icy particles influences ring stability.

Superposition of magnetic and gravitational forces explains ring formation.

Abstract

The magnetization relationships for magnetically uniform spherical particles of the Saturn rings are derived. The problem of a solitary magnetized sphere and spherical particle among identical particles scattered in a disk-like structure is solved. The differential equations of motion of particles in the gravitational and magnetic field are derived. Special cases of these equations are solved exactly, and their solutions suggest that the superposition of the gravitational attraction and repulsion by a magnetic field of the iced particles which possess diamagnetism can account for the stability of Saturn rings.