Journal of Nonlinear Mathematical Physics

Volume 13, Issue 3, August 2006, Pages 420 - 440

Vectorial Regularization and Temporal Means in Keplerian Motion

Authors
Daniel Condurache1, Vladimir Martinusi1
1Technical University ”Gh.Asachi”, Department of Theoretical Mechanics
Corresponding Author
Daniel Condurache
Received 1 November 2005, Accepted 27 January 2006, Available Online 1 August 2006.
DOI
10.2991/jnmp.2006.13.3.7How to use a DOI?
Keywords
vectorial Regularization, Kepler, eccentricity, vectorial regularization
Abstract

We study the well-known Kepler’s problem by introducing a new vectorial regularization. This helps deduce Kepler’s equations by a simple and unified method. Some integral temporal means are also obtained by means of this regularization. The vectorial eccentricity plays a fundamental part in this approach.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
13 - 3
Pages
420 - 440
Publication Date
2006/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2006.13.3.7How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Daniel Condurache
AU  - Vladimir Martinusi
PY  - 2006
DA  - 2006/08/01
TI  - Vectorial Regularization and Temporal Means in Keplerian Motion
JO  - Journal of Nonlinear Mathematical Physics
SP  - 420
EP  - 440
VL  - 13
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2006.13.3.7
DO  - 10.2991/jnmp.2006.13.3.7
ID  - Condurache2006
ER  -