Trigonometric series representations of the orbital inclination function

Details Trigonometric series representations of the orbital inclination function Trigonometric series representations of the orbital inclination function

Aug 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.125..243e&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 125, no. 2, Aug. 1986, p. 243-258.

Astronomy and Astrophysics

Astrophysics

1

Orbital Mechanics, Satellite Orbits, Trigonometric Functions, Orbital Elements, Recursive Functions

Scientific paper

New trigonometric representations of the orbital inclination function in multiples of cosines or sines are developed for all possible values of l, m, and p. The literal analytical expressions and the recurrence formulas which are satisfied by their coefficients are derived, and an efficient algorithm for the table formulation of the trigonometric series representations is presented. Numerical examples for the representations are demonstrated for the cases l = 2(1)4, m = 0(1)l, and p = 0(1)l.

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