Quaternions and the perturbed Kepler problem

Details Quaternions and the perturbed Kepler problem Quaternions and the perturbed Kepler problem

May 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cemda..95..201w&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 95, Issue 1-4, pp. 201-212

Astronomy and Astrophysics

Astronomy

7

Kustaanheimo&Ndash, Stiefel Regularization, Quaternions, Perturbed Kepler Problem, Birkhoff Transformation

Scientific paper

Quaternions, introduced by Hamilton (Philos. Mag. 25, 489 495, 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.

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