Encke's special perturbation technique associated with the KS regularized variables

Abstract

In this paper of the series, a special perturbation technique of Encke-type associated with the KS regularized variables will be developed for satellite motions in the Earth's gravitational field with axial symmetry. Its computational algorithm is of recursive nature and could be applied for any perturbed conic motion whatever the number of the zonal harmonic coefficients may be. Applications of the algorithm are also included.

Prediction of the Orbital Motion of an Artificial Satellite From Radar Measurements

“…We'll use the Runge-Kutta method of the fourth order to solve numerically the above equation (the differential equations of satellite motion under perturbation). Now, let us consider as a real example the radar data of EGYPTSAT-1, which has mass 160 Kg and ballistic coefficient 0.002 m 2 /Kg, = 7.292115833×10 -5 rad/sec (Awad, 1988) Notice that the argument of perigee (ω) is large difference that is because it depends on time.…”

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

“…The applications of the special perturbation methods to the equations of motion in terms of the redundant variables, provide the most powerful and accurate techniques that have been devised recently for satellite ephemeris with respect to any type of perturbing forces [1][2][3].…”

The motion of artificial satellites in the set of Eulerian redundant parameters

“…As far as the computation techniques are concerned, the applications of the special perturbation methods to the equations of motion in terms of the redundant variables, provide the most powerful and accurate techniques that have been devised recently for satellite ephemeris with respect to any type of perturbing forces (cf. e.g., Sharaf et al, 1987a, b;Sharma and Raj, 1988;Awad, 1988).…”