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

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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.

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  1. Pescara, Italy

    G. Renzetti

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Renzetti, G. Satellite Orbital Precessions Caused by the Octupolar Mass Moment of a Non-Spherical Body Arbitrarily Oriented in Space. J Astrophys Astron 34, 341–348 (2013). https://doi.org/10.1007/s12036-013-9186-4

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