The use of the rational Chebyshev approximation in problems of celestial mechanics

Details The use of the rational Chebyshev approximation in problems of celestial mechanics The use of the rational Chebyshev approximation in problems of celestial mechanics

Sep 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983kosis..21..792k&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 21, Sept.-Oct. 1983, p. 792-794. In Russian.

Computer Science

Celestial Mechanics, Chebyshev Approximation, Satellite Orbits, Two Body Problem, Eccentric Orbits, Error Analysis, Molniya Satellites, Polynomials

Scientific paper

A comparison is made of rectangular orbital coordinates obtained by uniform rational Chebyshev and polynomial approximations in the two-body problem for different orbit eccentricities. It is shown that, for small eccentricities, the polynomial approximation is superior because the polynomial error is smaller than the rational-function error for the same number of coefficients. The motion of a Molniya satellite with an eccentricity of e = 0.75 in the course of one revolution is considered as an example.

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