A mathematical representation of the geopotential in problems of the motion of satellites
Abstract
A comparative analysis is made of the principal mathematical models of the geopotential used in describing the motion of satellites. In particular, attention is given to models in which the geopotential is represented by volume and surface integrals, by a series of spheroidal and spherical functions (using Laplace, Maxwell, and sample functions), and by a system of point masses. It is shown that each model considered has its own advantages and drawbacks and that the choice of a model should be dictated by the orbital parameters of the satellite (particularly, the height of the orbit), by the length of the period for which the prediction is made, and by the form of dynamic theory representation.
 Publication:

Navigational Referencing and Statistical Processing of Space Data
 Pub Date:
 1983
 Bibcode:
 1983nrsp.book....5A
 Keywords:

 Celestial Mechanics;
 Geopotential;
 Satellite Orbits;
 Spacecraft Motion;
 Cartesian Coordinates;
 Integral Equations;
 Kepler Laws;
 Mathematical Models;
 Polar Coordinates;
 Potential Theory;
 Astrodynamics