J2-Gravity Perturbed Motion of Artifical Satellite in Terms of Euler Parameters

Abstract

Abstract:In this paper the solution of an artificial satellite motion under the influence of the Earth's gravitational field with axial symmetry of any conic section with zonal harmonics J 2 in terms of Euler parameters is established. Applications of this method enable anyone to predict the motion of artificial satellites.

Controllability Analysis of Motion of Artificial Satellite Under the Effect of Oblateness of the Earth

“…where, , at origin, , at origin, and . The matrix A is given by (11) and . The controllability matrix Q is given by , and the rank of Q is 4, which is not equal to the dimensions of the state X (= 6).…”

“…al. [11] regularized equations of perturbed motion due to oblateness of Earth using KS transformations and derived algorithm to solve these equations using Picard's method. Chen and Jing [12] studied relative motion of satellite under the effect of the oblateness of earth and atmospheric drag.…”

Real-Time 3D Collision Prediction for On-Orbit Servicing Missions

“…A big advantage over the formulation of the state in LVLH frame is the handy consideration of the J2 gravity perturbation which becomes very complicated otherwise (see Hayman (2012)). J2 is the impact of the earth's oblateness effect which leads to a change of the orbit depending on the inclination.…”