Methods for numerical integration of the equation of motion of stationary satellites
Abstract
A new technique for the numerical integration of the equations of motion of geostationary satellites is proposed, which reduces the number of coding steps and makes programming easier, without reducing computational accuracy. The technique consists of three steps: (1) the equations of motion are expressed in coordinates in which gravitational and centrifugal forces cancel out, (2) the formula for the perturbing force satellite, associated with tesseral harmonics of the geopotential, is simplified; and (3) the equations are integrated using formulas which are essentially equivalent to Taylor series, with terms of order 3 through 11 eliminated.
 Publication:

12th International Symposium on Space Technology and Science
 Pub Date:
 1977
 Bibcode:
 1977spte.symp..247T
 Keywords:

 Equations Of Motion;
 Numerical Integration;
 Orbit Calculation;
 Stationary Orbits;
 Synchronous Satellites;
 Coordinates;
 Geopotential;
 Geosynchronous Orbits;
 Satellite Perturbation;
 Taylor Series;
 Tesseral Harmonics;
 Astrodynamics