Effect of the rotation of the central body on the orbit of a satellite
We discuss the precession of the orbit of a satellite due to the rotation of the central body and express these results in terms of the longitude of the ascending node, Ω′, the argument of the perihelion, ω′, and the inclination of the orbit, i′, measured in the central body's equatorial system. We find that the precession of the perihelion (the Runge-Lenz vector) has a component in the plane of the orbit equal to 2/3 of the precession of the argument of the perihelion, so that the apparent discrepancy in the results of Kalitzin and Bogorodskii is resolved. In addition, we show how the precession of the longitude of the perihelion (which was originally obtained by Lense and Thirring) is related to the results of Kalitzin and Bogorodskii. We also find the precession of the normal to the orbit to be consistent with the original result of Lense and Thirring, which is twice the result recently given by Breen. © 1974 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review D
Barker, B., & O'Connell, R. (1974). Effect of the rotation of the central body on the orbit of a satellite. Physical Review D, 10 (4), 1340-1342. https://doi.org/10.1103/PhysRevD.10.1340