Analysis of the Impact of $C_{22}$ on the Orbital Eccentricity of Spacecrafts Around Some Small Non-Spherical Celestial Bodies
Jean Paulo dos Santos Carvalho1; Josué Cardoso dos Santos2
1 UFRB; 2 UNESP/FEG
Resumo
In this research, an analysis of the orbital eccentricity of an artificial satellite in motion around different small bodies of the solar system is performed. It is considered the disturbing effect due to some terms of the gravity potential related to the irregular shape of the central body. Emphasis is given on the impact caused by the $C_{22}$ sectorial term. The $J_{2}$, $J_{3}$, $J_{4}$ zonal terms, due to the oblateness of the central body are considered in the dynamics. The study is performed under the assumption of single-averaged models for these perturbations and by mean their numerical propagation. We show that this $C_{22}$ term generally acts as a protection mechanism against the growth of the eccentricity, which helps to control the increase of this orbital parameter when this perturbation is coupled with the other the perturbations considered.