Iterative solution to perturbed Kepler problem via Kustaanheimo-Stiefel equation

Authors
Vrbik, J
Citation
J. Vrbik, Iterative solution to perturbed Kepler problem via Kustaanheimo-Stiefel equation, CEL MEC DYN, 71(4), 1998, pp. 273-287
Citations number
9
Categorie Soggetti
Space Sciences
Journal title
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
ISSN journal
09232958 → ACNP
Volume
71
Issue
4
Year of publication
1998
Pages
273 - 287
Database
ISI
SICI code
0923-2958(1998)71:4<273:ISTPKP>2.0.ZU;2-J
Abstract
The main purpose of this paper is to supply a proof of formulas for constru cting a perturbative solution to the perturbed Kepler problem by utilizing quaternion algebra of the Kustaanheimo-Stiefel formulation. The main advant age of this approach is a removal, from the corresponding solution, of fast oscillations (in the case of conservative forces) and small divisors (in t he case of time-dependent forces).