Satellite Orbital Precessions Caused by the Octupolar Mass Moment of a NonSpherical Body Arbitrarily Oriented in Space
Abstract
I consider a satellite moving around a nonspherical body of mass M and equatorial radius R, and calculate its orbital precessions caused by the body's octupolar mass moment J _{4}. I consider only the effects averaged over one orbital period T of the satellite. I give exact formulas, not restricted to any special values of either the eccentricity e or the inclination i of the satellite's orbit. I do not assume any preferential orientation for the body's spin axis because in many cases of potential interest (exoplanets, neutron stars, black holes) it is poorly known or unknown at all.
 Publication:

Journal of Astrophysics and Astronomy
 Pub Date:
 December 2013
 DOI:
 10.1007/s1203601391864
 Bibcode:
 2013JApA...34..341R
 Keywords:

 Experimental studies of gravity—satellite orbits—harmonics of the gravity potential field