Trojans in stable chaotic motion

Author(s)
Elke Pilat-Lohinger, Rudolf Dvorak, Christian Alexander Burger
Abstract

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 (be 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).

Organisation(s)
Department of Astrophysics
Journal
Celestial Mechanics and Dynamical Astronomy: an international journal of space dynamics
Volume
73
Pages
117-126
No. of pages
10
ISSN
0923-2958
DOI
https://doi.org/10.1023/A:1008338811969
Publication date
1999
Peer reviewed
Yes
Austrian Fields of Science 2012
103003 Astronomy
Portal url
https://ucrisportal.univie.ac.at/en/publications/8c902d48-d7b6-46e5-8f03-e7942d1038bc