Gravitomagnetic Field of Rotating Rings

TL;DR

This paper investigates the gravitomagnetic field generated by a rotating ring around a central body using gravitoelectromagnetic formalism, analyzing its effects on test particles and potential for inferring properties of ring-like structures.

Contribution

It provides a detailed calculation of the gravitomagnetic field of a rotating ring and explores its observational implications within the Solar System.

Findings

Calculated gravitomagnetic field in intermediate and far zones.

Assessed impact on test particle motion.

Proposed method to infer ring properties from orbital data.

Abstract

In the framework of the so-called gravitoelectromagnetic formalism, according to which the equations of the gravitational field can be written in analogy with classical electromagnetism, we study the gravitomagnetic field of a rotating ring, orbiting around a central body. We calculate the gravitomagnetic component of the field, both in the intermediate zone between the ring and the central body, and far away from the ring and central body. We evaluate the impact of the gravitomagnetic field on the motion of test particles and, as an application, we study the possibility of using these results, together with the Solar System ephemeris, to infer information on the spin of ring-like structures.