Moderne Verfahren der Himmelsmechanik
Abstract
The determination of the orbits of artificial earth satellites is considered as an example to illustrate the approaches used by celestial mechanics in the study of the characteristics of the motions found in the solar system and in stellar systems. The determination of the orbits of artificial satellites requires that a certain balance equation will be satisfied by taking into account measured values, observed parameter values, and a theory for the satellite orbits. The formulation of the problem of motion is discussed along with the methods which can be employed to solve it. The complex force function which has to be considered in the case of satellite motions makes it necessary to use numerical solution methods. Attention is given to procedures for obtaining intermediate solutions, procedures for the solution of perturbation problems, iteration approaches and successive approximation, and mean value methods.
 Publication:

Mitteilungen der Astronomischen Gesellschaft Hamburg
 Pub Date:
 1977
 Bibcode:
 1977MitAG..42...13S
 Keywords:

 Artificial Satellites;
 Celestial Mechanics;
 Orbit Calculation;
 Satellite Orbits;
 Stellar Systems;
 Approximation;
 Iterative Solution;
 Numerical Analysis;
 Perturbation Theory;
 Potential Theory;
 Solar System;
 Stellar Motions;
 Astronomy