ON THE CALCULATION OF THE LINEAR-STABILITY PARAMETER OF PERIODIC-ORBITS - RESEARCH NOTE

Citation
C. Barbera et E. Athanassoula, ON THE CALCULATION OF THE LINEAR-STABILITY PARAMETER OF PERIODIC-ORBITS - RESEARCH NOTE, Astronomy and astrophysics (Berlin), 336(2), 1998, pp. 782-785
Citations number
14
Categorie Soggetti
Astronomy & Astrophysics
ISSN journal
00046361
Volume
336
Issue
2
Year of publication
1998
Pages
782 - 785
Database
ISI
SICI code
0004-6361(1998)336:2<782:OTCOTL>2.0.ZU;2-M
Abstract
In this paper we propose an improved method for calculating Henon's st ability parameter, which is based on the differential of the Poincare map using the first variational equation. We show that this method is very accurate and give some examples where it gives correct results, w hile the previous method could not cope.