Gravitomagnetic effects for polar circular geodesic orbits around a central rotating body

TL;DR

This paper investigates the gravitomagnetic corrections to the orbital period of a test particle in a polar circular geodesic orbit around a rotating mass, highlighting relativistic effects on orbital dynamics.

Contribution

It provides a detailed analysis of gravitomagnetic effects on orbital periods for polar geodesic orbits, extending previous models to include the influence of the central body's angular momentum.

Findings

Derived explicit formulas for gravitomagnetic corrections to orbital periods.

Showed that the corrections depend on the angular momentum J of the central body.

Quantified the magnitude of these effects for typical astrophysical objects.

Abstract

The gravitomagnetic corrections to the Keplerian period for a circular, geodesic orbit of a test particle in a polar plane containing the proper angular momentum J of a central rotating body are considered.