Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..213d&link_type=abstract
(Conference on Mathematical Methods in Celestial Mechanics, 6th, Oberwolfach, West Germany, Aug. 14-19, 1978.) Celestial Mechani
Astronomy and Astrophysics
Astronomy
1
Celestial Mechanics, Extrapolation, Kepler Laws, Numerical Integration, Orbit Perturbation, Satellite Orbits, Algorithms, Astrodynamics, Equations Of Motion, Error Analysis, Iteration, Numerical Stability, Satellite Perturbation
Scientific paper
In this paper, a special extrapolation method for the numerical integration of perturbed Kepler problems (given in KS-formulation) is worked out and analyzed in detail. The underlying so-called Kepler discretization is exact for the pure (elliptic) Kepler motion. A numerically stable realization is presented together with a backward error analysis: this analysis shows that the effect of the arising rounding errors can be regarded as a small perturbation inferior to the physical perturbation. For test purposes, a well-known example describing the motion of an artificial earth satellite in an equator plane subject to the oblateness perturbation is used to demonstrate the efficiency of the new extrapolation method.
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