Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989baicz..40..321k&link_type=abstract
Astronomical Institutes of Czechoslovakia, Bulletin (ISSN 0004-6248), vol. 40, no. 5, Sept. 1989, p. 321-330.
Astronomy and Astrophysics
Astronomy
3
Error Analysis, Orbit Perturbation, Orbital Resonances (Celestial Mechanics), Perturbation Theory, Ers-1 (Esa Satellite), Gravitational Effects, Orbit Calculation, State Estimation
Scientific paper
The orbital effects due to the individual harmonic coefficients are usually estimated on the basis of the first-order solution of the perturbation theory. The first-order theory fails at or near perfect resonances. One possible way out is an analytical assessment of the accuracy of the first-order solution. The error estimates performed within the present analysis verified that the first-order solution cannot be used for precise orbit determination (even for short time intervals). Outside the narrow interval around the exact resonance, the theory works reliably. Numerical examples are given for the 43/3-resonance in the ERS-1 orbit and for the 14th- and the 15th-order resonances.
Klokocnik Jaroslav
Kostelecky Jan
Raimondo Jean-Claude
Reigber Ch.
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