Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008sf2a.conf..121f&link_type=abstract
"SF2A-2008: Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics Eds.: C. Charbonnel, F. Combes
Astronomy and Astrophysics
Astrophysics
1
Scientific paper
For a long time, the estimation of the Lyapunov Characteristic Exponents (LCEs) had been used in Celestial Mechanics to caracterize the chaoticity of orbits. With the aim of gaining speed and accuracy in detecting this chaoticity, several indicators based on the theory of Lyapunov exponents have been developped. Here we present a comparison in terms of precision, CPU speed, and practicability of several of these indicators ; the FLI (Froeschlé et al, 1997) , MEGNO (Cincotta & Simó, 2000), and the GALI (Skokos et al, 2007). The GALI3 (using three tangent vectors) is the version of the GALI used here. While the FLI and MEGNO have been commonly used, the GALI has not yet been applied to Celestial Mechanics. However, this indicator has its own qualities and specificities. The final aim of the comparison of these indicators is the production of stability maps in the case of irregular satellites of giant planets, the examples and applications are shown in this sense.
Fouchard Marc
Frouard Julien
Vienne Alain
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