Standard Clocks, Orbital Precession and the Cosmological Constant
Andrew W. Kerr, John C. Hauck, and Bahram Mashhoon

TL;DR
This paper examines how the cosmological constant affects gravitational phenomena such as clock effects, time delays, and orbital precession, providing formulas for these effects in various scenarios.
Contribution
It offers new analytical expressions for the influence of the cosmological constant on orbital precession and gravitational time delays.
Findings
Cosmological constant impacts gravitomagnetic clock effect.
Derived formulas for $bc$ effects on orbital precession.
Quantified the influence of $bc$ on electromagnetic signal delays.
Abstract
We discuss the influence of the cosmological constant on the gravitomagnetic clock effect and the gravitational time delay of electromagnetic rays. Moreover, we consider the relative motion of a binary system to linear order in the cosmological constant . The general expression for the effect of on pericenter precession is given for arbitrary orbital eccentricity.
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