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On the reliability of computation of maximum Lyapunov Characteristic Exponents for asteroids

Published online by Cambridge University Press:  28 February 2005

Zoran Knežević  and
Slobodan Ninković
Zoran Knežević
Affiliation:
Astronomical Observatory, Volgina 7, 11160 Belgrade 74, Serbia and Montenegro email: [email protected]; [email protected]
Slobodan Ninković
Affiliation:
Astronomical Observatory, Volgina 7, 11160 Belgrade 74, Serbia and Montenegro email: [email protected]; [email protected]
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Abstract

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We present an analysis of the reliability of computation of maximum Characteristic Exponents of Lyapunov from the numerical integrations of asteroid orbits over finite intervals of time. We used two complementary approaches - a comparison of the LCE estimates from the backward and forward integrations of orbits, and a comparison of the estimates coming from the integrations of the same initial conditions over different time spans. The main conclusion is that for a vast majority of asteroids ($> 80\%$) the results can be considered as reliable enough to reveal the very nature and basic properties of the motion.To search for other articles by the author(s) go to: http://adsabs.harvard.edu/abstract_service.html

Keywords

Asteroidschaotic dynamicsmaximum Lyapunov Characteristic Exponents
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 2004 , Issue IAUC197 , August 2004 , pp. 187 - 194
Copyright
© 2005 International Astronomical Union