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

@article{Renzetti2013SatelliteOP,
  title={Satellite Orbital Precessions Caused by the Octupolar Mass Moment of a Non-Spherical Body Arbitrarily Oriented in Space},
  author={G. Renzetti},
  journal={Journal of Astrophysics and Astronomy},
  year={2013},
  volume={34},
  pages={341-348}
}
  • G. Renzetti
  • Published 5 November 2013
  • Physics, Geology
  • Journal of Astrophysics and Astronomy
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 J4. 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… 

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TLDR
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