An analytical satellite theory using gravity and a dynamic atmosphere
Abstract
An analytical solution is given for the motion of an artificial earth satellite under the influence of the gravitational zonal harmonics through J4 and any dynamic atmosphere. The zonal J2 is treated as first order while J3, J4, and drag are treated as second order. The most dominant coupling effects between J2 and drag are included. Predictions are by totally analytical equations and inputs from the dynamic atmosphere are required only during the initialization at epoch time. The solution is obtained by first using the method of averaging to transform to a set of slowly varying quantities. These transformed differential equations are then analytically integrated. Predictions with this theory have been compared with numerically generated reference orbits and show very good agreement.
 Publication:

Astrodynamics 1981
 Pub Date:
 August 1982
 Bibcode:
 1982asdy.confQ....H
 Keywords:

 Artificial Satellites;
 Atmospheric Effects;
 Gravitational Effects;
 Orbit Calculation;
 Satellite Drag;
 Satellite Perturbation;
 Dynamic Models;
 Equations Of Motion;
 Mathematical Models;
 Numerical Integration;
 Orbital Elements;
 Orbital Position Estimation;
 Orbital Velocity;
 Zonal Harmonics;
 Astrodynamics