Trigonometric series representations of the orbital inclination function.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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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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