An efficient short-arc orbit computation

Details An efficient short-arc orbit computation An efficient short-arc orbit computation

Mar 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983bgeod..57..138k&link_type=abstract

Bulletin Geodesique (ISSN 0007-4632), vol. 57, no. 2, 1983, p. 138-145.

Statistics

Computation

Chebyshev Approximation, Least Squares Method, Orbit Calculation, Satellite Orbits, Computer Techniques, Ephemerides, Equations Of Motion, Gravitational Fields, Numerical Integration

Scientific paper

A method for the computation of satellite orbits from short-arc data is developed and applied to the U.S. Navy Navigation Satellites (NNSS). The analysis employs a least-squares approximation by Chebyshev polynomials of the second derivatives (accelerations) of the satellite coordinates, for time intervals of two minutes and averaged initial conditions, and is based on the GEM-9 gravitational-potential model of Lerch et al. (1977). It is shown that the method can achieve results within 5 cm rms (for each coordinate) of the U.S. Defense Mapping Agency ephemeris orbit positions, as long as the gravitational-potential model is not truncated shorter than degree and order 10. The computational cost of this method is found to be comparable to that of less accurate semi-short-arc techniques using externally generated orbits.

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