Comment on "From geodesics of the multipole solutions to the perturbed Kepler problem"

TL;DR

This paper discusses discrepancies in gravitational quadrupole moment calculations affecting orbital precession, attributing differences to varying methods of angular momentum computation.

Contribution

It clarifies the source of discrepancies in previous calculations of orbital precession due to gravitational quadrupole effects.

Findings

Discrepancies stem from different angular momentum calculations.

Clarification of the influence of quadrupole moments on orbital precession.

Highlights importance of consistent angular momentum definitions.

Abstract

In this comment we explain the discrepancies mentioned by the authors between their results and ours about the influence of the gravitational quadrupole moment in the perturbative calculation of corrections to the precession of the periastron of quasielliptical Keplerian equatorial orbits around a point mass. The discrepancy appears to be consequence of two different calculations of the angular momentum of the orbits.