One of the post-Keplerian (PK) parameters determined in timing analyses of several binary pulsars is the fractional periastron advance per orbit
. Along with other PK parameters, it is used in testing general relativity once it is translated into the periastron
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One of the post-Keplerian (PK) parameters determined in timing analyses of several binary pulsars is the fractional periastron advance per orbit
. Along with other PK parameters, it is used in testing general relativity once it is translated into the periastron precession
. It was recently remarked that the periastron
of PSR J0737–3039A/B may be used to measure/constrain the moment of inertia of A through the extraction of the general relativistic Lense–Thirring precession
from the experimentally determined periastron rate
provided that the other post-Newtonian (PN) contributions to
can be accurately modeled. Among them, the 2PN seems to be of the same order of magnitude of
. An analytical expression of the total 2PN periastron precession
in terms of the osculating Keplerian orbital elements, valid not only for binary pulsars, is provided, thereby elucidating the subtleties implied in correctly calculating it from
and correcting some past errors by the present author. The formula for
is demonstrated to be equivalent to that obtainable from
by Damour and Schäfer expressed in the Damour–Deruelle (DD) parameterization.
actually depends on the initial orbital phase, hidden in the DD picture, so that
. A recently released prediction of
for PSR J0737–3039A/B is discussed.
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