Commenting on "Revisiting the 2PN Pericenter Precession in View of Possible Future Measurements", by L. Iorio, and on "The orbital pericenter precession in the 2PN approximation", by S.M. Kopeikin [CL]

http://arxiv.org/abs/2007.00600


Recently, the secular pericentre precession was analytically computed to the second post-Newtonian (2PN) order by the present author with the Gauss equations in terms of the osculating Keplerian orbital elements in order to obtain closer contact with the observations in astronomical scenarios of potential interest. A discrepancy with previous results by other authors was found. Moreover, some of such findings by the same authors were deemed as mutually inconsistent. In this paper, it is demonstrated that, in fact, two calculational errors plagued the most recent calculation. They are explicitly disclosed and corrected. As a result, all the examined approaches mutually agree yielding the same analytical expression for the total 2PN pericentre precession once the appropriate conversions from the adopted parameterizations are made.

Read this paper on arXiv…

L. Iorio
Thu, 2 Jul 20
1/64

Comments: LaTex2e, 13 pages, no tables, no figures