Gravitomagnetic time-varying effects on the motion of a test particle

TL;DR

This paper investigates how a time-varying gravitomagnetic field influences the motion of test particles, analyzing perturbations on orbital elements and comparing predictions with real astronomical systems.

Contribution

It introduces a model for a linearly changing gravitomagnetic field and evaluates its effects on orbital dynamics, extending previous static field analyses.

Findings

Time-varying gravitomagnetic fields cause measurable perturbations in orbital elements.

Predicted effects are significant in certain astrophysical scenarios like binary pulsars.

The study provides a framework for testing gravitomagnetic variations in observational data.

Abstract

We study the effects of a time-varying gravitomagnetic field on the motion of test particles. Starting from recent results, we consider the gravitomagnetic field of a source whose spin angular momentum has a linearly time-varying magnitude. The acceleration due to such a time-varying gravitomagnetic field is considered as a perturbation of the Newtonian motion, and we explicitly evaluate the effects of this perturbation on the Keplerian elements of a closed orbit. The theoretical predictions are compared with actual astronomical and astrophysical scenarios, both in the solar system and in binary pulsars systems, in order to evaluate the impact of these effects on real systems.