Tables for the trigonometric series representations of the orbital inclination function

Astronomy and Astrophysics – Astrophysics

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Celestial Geodesy, Geocentric Coordinates, Gravitational Fields, Orbital Elements, Trigonometric Functions, Orbit Calculation, Perturbation Theory, Satellite Orbits

Scientific paper

A family of orbital inclination functions, flmp(i), is discussed which arises from the expression of the earth's gravitational potential in terms of the orbital elements of an arbitrary earth satellite. The basic formulations for flmp(i) given by Awad (1986) are first presented. On the basis of this formalism, tables for the trigonometric series representations of Flmp(i) in multiples of cosines or sines are given for l = 2(1)10; m = 0(1)l; and p = 0(1)l.

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