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Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications
Quaternions, introduced by W. R. Hamilton (1844) as a generalization of complex numbers, lead to a remarkably simple representation of the perturbed three-dimensional Kepler problem as a perturbed harmonic oscillator. The paper gives an overview of this technique, including an outlook to applications in perturbation theories.doi:10.1007/978-1-4020-5325-2_11 fatcat:64f5ch4tlva7hkezlrkc42c7m4