Orbital effects due to gravitational induction

TL;DR

This paper investigates how time-varying gravitomagnetic fields influence the orbits of test particles in a linear gravitoelectromagnetic framework, finding that such effects are theoretically present but practically negligible.

Contribution

It introduces an analysis of gravitational inductive effects in orbital dynamics within a Post-Minkowskian approximation, highlighting their minimal practical impact.

Findings

Cumulative orbital effects are theoretically predicted.

Effects are negligible for planetary and binary systems.

Provides a framework for understanding gravitational induction in general relativity.

Abstract

We study the motion of test particles in the metric of a localized and slowly rotating astronomical source, within the framework of linear gravitoelectromagnetism, grounded on a Post-Minkowskian approximation of general relativity. Special attention is paid to gravitational inductive effects due to time-varying gravitomagnetic fields. We show that, within the limits of the approximation mentioned above, there are cumulative effects on the orbit of the particles either for planetary sources or for binary systems. They turn out to be negligible.