Statistics – Computation
Scientific paper
Feb 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phdt........62m&link_type=abstract
Ph.D. Thesis - Technische Univ. Deutsche Geodaetische Kommission, Munich (Germany).
Statistics
Computation
Celestial Mechanics, Ephemeris Time, Orbit Calculation, Satellite Orbits, Synchronous Satellites, Taylor Series, Comparison, Kepler Laws, Mathematical Models, Moon, Power Spectra, Sun
Scientific paper
It is shown that Taylor series integration allows problems of celestial mechanics for interplanetary orbits to be solved with relatively simple orbit models. The method is adapted to the computation of satellite orbits. A new implementation concept is included, which allows a programmation of the equations of motion. It offers simultaneously extension possibilities, which are necessary for the computation of special terms of the power function. The linking of Sun and Moon ephemeris for the treatment of gavitational disturbances of the satellite orbit is used as an example. This concept is represented with the principles of Taylor series integration, and compared with variants of the process. The power spectrum of the method is examined for disturbed and undisturbed Kepler orbits.
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