On the Stochasticity of the Asteroid Belt

Details On the Stochasticity of the Asteroid Belt On the Stochasticity of the Asteroid Belt

Sep 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..69..235f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 69, Issue 1/2, p. 235-254 (1997).

Mathematics

Number Theory

Chaotic Motion, Lyapunov Numbers, Number Theory, Asteroid Belt, Chaotic Motion, Lyapunov Numbers, Number Theory, Asteroid Belt

Scientific paper

The study of the stochasticity of the asteroid belt requires the analysis of a large number of orbits. We detect the dynamical character of a set of 5 400 asteroids using the Fast Lyapunov Indicator, a method of analysis closely related to the computation of the Lyapunov Characteristic Exponents, but cheaper in computational time. For both regular and chaotic orbits we try to associate the motion to the underlying resonances network. For it we consider different methods of classification of rational numbers proposed by number theory, and we choose the one which seems to be strictly related to the dynamical behaviour of a system.

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