Physics
Scientific paper
Apr 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976mtdt.repts.....&link_type=abstract
In its Mathematical Theory of the Goddard Trajectory Determination System 88 p (SEE N76-24291 15-13)
Physics
Minimum Variance Orbit Determination, Orbit Perturbation, Prediction Analysis Techniques, Satellite Orbits, Acceleration (Physics), Celestial Mechanics, Equations Of Motion, Orbital Position Estimation
Scientific paper
For orbital prediction using the method of special perturbations, the equations of motion of the satellite are integrated numerically. The perturbing acceleration vector is used to construct these equations. The sources of these perturbations are identified and the appropriate perturbation models are presented. The perturbations discussed include: The gravitational acceleration due to n-point masses; the gravitational acceleration due to nonsphericity of the gravitational potential; the acceleration due to the mutual nonspherical gravitational attraction of the earth and moon; the acceleration due to aerodynamic forces; the acceleration due to solar radiation pressure; the acceleration due to thrusting of the spacecraft engines; the acceleration due to attitude control system corrections; and model replacement accelerations. All or any subset of these effects can be included in the perturbing acceleration vector which is used in the construction of the equations of motion using either the Cowell or Variation of Parameters formulations.
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