Statistics – Computation
Scientific paper
Aug 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986asdy.conf.1019g&link_type=abstract
IN: Astrodynamics 1985; Proceedings of the Conference, Vail, CO, August 12-15, 1985. Part 2 (A86-43201 20-12). San Diego, CA, Un
Statistics
Computation
Astrodynamics, Orbit Calculation, Satellite Perturbation, Eccentric Orbits, Kepler Laws, Numerical Integration, Trajectory Analysis
Scientific paper
KS variables are an alternative and extended set of variables for describing the motion of a particle. When used with the eccentric anomaly as the independent variable, the satellite motion is given as a regularized system of 10 first order ordinary differential equations. For orbit computation these variables have advantage in both numerical and analytical treatment. The energy equation becomes one of the equations and numerical methods are very stable. High eccentricity orbits are easily treated in both cases. With numerical methods the step size variation is reduced. In analytical methods, expansion in powers of eccentricity is avoided. These two approaches can be combined in differential orbital improvement with numerical integration. An example of a high eccentricity satellite is discussed.
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