Keplerian motion and gyration

Physics

Scientific paper

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Harmonic Oscillation, Kepler Laws, Orbit Perturbation, Satellite Orbits, Angular Momentum, Differential Equations, Equations Of Motion, Fourier Series, Liapunov Functions, Numerical Integration, Secular Variations

Scientific paper

An equivalence between Keplerian motion and harmonic oscillations has
been established by Burdet by using essentially the true anomaly as a
new independent variable. In this paper, a relation between these
oscillator equations and the motion of a gyroscope is derived. Important
numerical and analytical consequences are discussed.

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