Methods for numerical integration of equations of motion of stationary satellites
Abstract
A threestep numerical integration method for the motion equations of stationary satellites is presented with attention to the simplification of computer programming without reducing accuracy. In the first step, gravity and centrifugal force are eliminated from the equations by the establishment of a coordinate whose origin is at the satellite point, and which revolves around the earth with the satellite. The second step consists of a simplification of the tesseral harmonics resulting from earthsatellite interaction. Finally, the equations are integrated using formulas equivalent to the Taylor series, whose terms of
 Publication:

Radio Research Laboratory, Review
 Pub Date:
 December 1977
 Bibcode:
 1977RaRLR..23...89T
 Keywords:

 Equations Of Motion;
 Numerical Integration;
 Spacecraft Motion;
 Stationary Orbits;
 Synchronous Satellites;
 Computer Programming;
 Geopotential;
 Orbit Perturbation;
 Taylor Series;
 Astrodynamics