Iterative Solution to Perturbed Kepler Problem via KUSTAANHEIMO—STIEFEL Equation

Details Iterative Solution to Perturbed Kepler Problem via KUSTAANHEIMO—STIEFEL Equation Iterative Solution to Perturbed Kepler Problem via KUSTAANHEIMO—STIEFEL Equation

Aug 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998cemda..71..273v&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 71, Issue 4, p. 273-287 (1998).

Astronomy and Astrophysics

Astronomy

2

Quarternion, Kustaanheimo&Ndash, Stiefel Regularization, Perturbed Kepler Problem

Scientific paper

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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