[en] By using a Sundman like regularization, we offer a unified solution to Kepler's problem by using hypercomplex numbers. The fundamental role in this paper is played by the Laplace-Runge-Lenz prime integral and by the hypercomplex numbers algebra. The procedure unifies and generalizes the regularizations offered by Levi-Civita and Kustaanheimo-Stiefel. Closed form hypercomplex expressions for the law of motion and velocity are deduced, together with inedite hypercomplex prime integrals.
Disciplines :
Space science, astronomy & astrophysics
Author, co-author :
Condurache, Daniel; Technical University "Gheorghe Asachi" Iasi, Romania > Theoretical Mechanics
Martinusi, Vladimir ; Technical University "Gheorghe Asachi" Iasi, Romania > Theoretical Mechanics
Language :
English
Title :
A Novel Hypercomplex Solution to Kepler's Problem
Publication date :
01 May 2007
Journal title :
Publications of the Astronomy Department of the Eötvös University
ISSN :
0238-2423
Publisher :
Eötvös University. Astronomy Department, Eötvös, Hungary