An efficient method to compute the perturbation spectrum in linear satellite theory

Statistics – Computation

Scientific paper

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Orbit Calculation, Orbital Elements, Satellite Orbits, Satellite Perturbation, Spectral Methods, Elliptical Orbits, Geopotential, Perigees

Scientific paper

The methods for the computation of the perturbation spectrum of the classical orbit elements presented in this work are based on the spectral representation of the celebrated Kaula's solution. Different algorithms are given for applications to the cases of orbits with circulating and frozen perigee. The main advantage to be found from the application fo these methods is the elimination of the searching over the set of frequencies which is characteristic of the usual computational approach.

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