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ITERATIVE SOLUTION TO PERTURBED KEPLER PROBLEM VIA KUSTAANHEIMO–STIEFEL EQUATION

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Abstract

The main purpose of this paper is to supply a proof of formulas for constructing a perturbative solution to the perturbed Kepler problem by utilizing quaternion algebra of the Kustaanheimo–Stiefel formulation. The main advantage of this approach is a removal, from the corresponding solution, of fast oscillations (in the case of conservative forces) and small divisors (in the case of time-dependent forces).

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Authors and Affiliations

  1. Department of Mathematics, Brock University, St. Catharines, Ontario, Canada, L2S 3A1

    Jan Vrbik

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  1. Jan Vrbik
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Vrbik, J. ITERATIVE SOLUTION TO PERTURBED KEPLER PROBLEM VIA KUSTAANHEIMO–STIEFEL EQUATION. Celestial Mechanics and Dynamical Astronomy 71, 273–287 (1998). https://doi.org/10.1023/A:1008308709971

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  • DOI: https://doi.org/10.1023/A:1008308709971

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