Decrease in the magnitude of the correlation coefficients between orbit elements

Details Decrease in the magnitude of the correlation coefficients between orbit elements Decrease in the magnitude of the correlation coefficients between orbit elements

Sep 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986baicz..37..271k&link_type=abstract

Astronomical Institutes of Czechoslovakia, Bulletin (ISSN 0004-6248), vol. 37, Sept. 1986, p. 271-281.

Mathematics

Celestial Mechanics, Orbital Elements, Satellite Orbits, Cartesian Coordinates, Correlation, Matrices (Mathematics)

Scientific paper

An analytical technique for constructing the matrix of correlation coefficients (MCC) in the classical-elements approach to semidynamic problems in celestial mechanics is described and demonstrated, generalizing the results reported by Kabelac (1984). Elements designed to have a weighting-coefficient matrix as close as possible to the diagonal matrix are introduced, so that the MCC is as close as possible to the unit matrix. The elements are characterized mathematically; line-of-sight adjustment procedures are explained; and numerical results for three types of satellite orbits are presented in tables.

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