A study of a satellitetosatellite tracking configuration by application of linear perturbation theory
Abstract
Two methods with which the satellitetosatellite tracking (SST) observable frequency spectrum can be related to potential coefficients were tested. The first model, a direct relation between the observation equation and the unknown potential coefficients, is impractical. The second method shows that the coefficients can in principle be reordered per equal order which results in a block diagonal system of normal equations. The problems of computing inclination functions, which are essential in applying the linear perturbation theory, are discussed. The fast numerical method described by Wagner (1980) provides all inclination functions up to high degree and order. The attenuation of the high degree harmonics is inverse proportional to the separation distance. The SST range rate attenuation of wavelengths in the gravity field coincides with the separation distance.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 November 1986
 Bibcode:
 1986STIN...8810059S
 Keywords:

 Geopotential;
 Orbital Mechanics;
 Perturbation Theory;
 Satellite Perturbation;
 SatelliteToSatellite Tracking;
 Boundary Value Problems;
 Gravitational Effects;
 Satellite Orientation;
 Astrodynamics