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Journal of Astrophysics and Astronomy

, Volume 34, Issue 4, pp 341–348 | Cite as

Satellite Orbital Precessions Caused by the Octupolar Mass Moment of a Non-Spherical Body Arbitrarily Oriented in Space

  • G. Renzetti
Article

Abstract

I consider a satellite moving around a non-spherical 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 \({\boldsymbol{\hat{{\mathbf{k}}}}}\) because in many cases of potential interest (exoplanets, neutron stars, black holes) it is poorly known or unknown at all.

Keywords

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

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Copyright information

© Indian Academy of Sciences 2013

Authors and Affiliations

  1. 1.PescaraItaly

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