A simple method for improving the convergence of the Newton method in determining orbits of low-flying satellites

Details A simple method for improving the convergence of the Newton method in determining orbits of low-flying satellites A simple method for improving the convergence of the Newton method in determining orbits of low-flying satellites

May 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982kosis..20..472d&link_type=abstract

Kosmicheskie Issledovaniia, vol. 20, May-June 1982, p. 472-474. In Russian.

Mathematics

Convergence, Newton-Raphson Method, Orbit Calculation, Satellite Orbits, Matrices (Mathematics), Orbital Elements, Scaling Laws

Scientific paper

A scaling method is developed which improves the convergence of the
Newton iteration method in determining the orbital elements of
low-flying satellites. This method of matrix inversion makes possible a
rapid determination (within three to five iterations) of the orbital
elements

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