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Trojans in Stable Chaotic Motion

Published online by Cambridge University Press:  12 April 2016

E. Pilat-Lohinger ,
R. Dvorak  and
Ch. Burger
E. Pilat-Lohinger
Affiliation:
Instituí für Astronomie, Universität Wien, Ttirkenschanzstraße 17, A-1180 Vienna, Austria
R. Dvorak
Affiliation:
Instituí für Astronomie, Universität Wien, Ttirkenschanzstraße 17, A-1180 Vienna, Austria
Ch. Burger
Affiliation:
Instituí für Astronomie, Universität Wien, Ttirkenschanzstraße 17, A-1180 Vienna, Austria

Abstract

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The orbits of 13 Trojan asteroids have been calculated numerically in the model of the outer solar system for a time interval of 100 million years. For these asteroids Milani et al. (1997) determined Lyapunov times less than 100 000 years and introduced the notion “asteroids in stable chaotic motion”. We studied the dynamical behavior of these Trojan asteroids (except the asteroid Thersites which escaped after 26 million years) within 11 time intervals - i.e. subintervals of the whole time - by means of: (1) a numerical frequency analysis (2) the root mean square (r.m.s.) of the orbital elements and (3) the proper elements. For each time interval we compared the root mean squares of the orbital elements (a, e and i) with the corresponding proper element. It turned out that the variations of the proper elements ep in the different time intervals are correlated with the corresponding r.m.s.(e); this is not the case for sin Ip with r.m.s.(i).

Keywords

: Trojan asteroidslong term evolutionproper elements
Type
Extended Abstracts
Information
International Astronomical Union Colloquium , Volume 172: Impact of Modern Dynamics in Astronomy , 1999 , pp. 117 - 126
Copyright
Copyright © Kluwer 1999

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