Theory of the orbital motion of an artificial Earth Satellite
Abstract
Considering dominant perturbative influences and coupling effects among them, a unified theory of the orbital motion of an artificial Earth satellite is developed. The theory includes very realistic and complex perturbation models and provides analytically a relatively accurate visualization of the effects of the various perturbations. As the dominating perturbative influences the Earth's gravitational perturbations, the lunar solar perturbations, the solar radiation pressure perturbation, the atmospheric drag perturbation, and small perturbing forces provided by the thrusts of propulsion systems are taken into account. Disturbing functions, perturbing accelerations, and angular elements referred to the adopted system are expressed analytically. On referring to the expressions of disturbing functions, perturbing accelerations, and angular elements referred to the adopted system, the time rates of change of the orbital elements are derived by use of the equations of motion. The resulting equations are integrated by the method of linear perturbations to obtain the first order perturbations. With the use of the variations in the orbital elements the motion of the artificial Earth satellite is determined.
 Publication:

Unknown
 Pub Date:
 May 1985
 Bibcode:
 1985toma.rept.....T
 Keywords:

 Artificial Satellites;
 Orbital Elements;
 Perturbation Theory;
 Satellite Orbits;
 Satellite Perturbation;
 Disturbing Functions;
 EulerLagrange Equation;
 Gravitational Effects;
 Radiation Pressure;
 Solar Radiation;
 Transformations (Mathematics);
 Astrodynamics