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

Journal of astrophysics and astronomy

G. Renzetti1¹ 

[1] Pescara, Italy$$

关键词: Experimental studies of gravity;    satellite orbits;    harmonics of the gravity potential field.;   

DOI  :  

学科分类：天文学(综合)

来源: Indian Academy of Sciences

【 摘 要 】

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 $hat{mathbf{k}}$ because in many cases of potential interest (exoplanets, neutron stars, black holes) it is poorly known or unknown at all.

【 授权许可】

Unknown