Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.125..243a&link_type=abstract
Astrophysics and Space Science, Volume 125, Issue 2, pp.243-258
Astronomy and Astrophysics
Astrophysics
1
Orbital Elements:Inclination, Orbital Elements:Potential Theory, Potential Theory:Orbital Elements
Scientific paper
In this paper, new trigonometric series representations of the orbital inclination function Flmp(i) in multiples of cosines or sines are established for all possible values of l, m, and p. For such representations, the literal analytical expressions and the recurrence formulae satisfied by their coefficients are established. Moreover, an economic algorithm for the table formulation of these coefficients for the possible values of l, m, and p is given. Finally, numerical examples of the representations for l = 2(1)4; m = 0(1)l; p = 0(1)l are also included.
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