Tisserand's polynomials and inclination functions in the theory of artificial earth satellites

Astronomy and Astrophysics – Astronomy

Scientific paper

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Artificial Satellites, Geosynchronous Orbits, Legendre Functions, Lunar Gravitation, Orbital Mechanics, Satellite Orbits, Celestial Mechanics, Perturbation Theory, Planetary Gravitation, Polynomials, Three Body Problem

Scientific paper

The connection between Tisserand's polynomials and inclination functions
in the theory of motion of artificial earth satellites is established in
the paper. The most important properties of these special functions of
celestial mechanics are presented. The problem of expanding the
perturbation function in satellite problems is discussed.

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