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On the dynamics of Trojan asteroids

Published online by Cambridge University Press:  25 May 2016

B. Érdi
B. Érdi*
Affiliation:
Department of Astronomy Eötvös University, Budapest, Hungary

Abstract

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The author's theory of Trojan asteroids (Érdi, 1988) is developed further. The motion of the Trojans is considered in the framework of the three-dimensional elliptic restricted three-body problem of the Sun-Jupiter-asteroid system including also the secular changes of Jupiter's orbital eccentricity and the apsidal motion of Jupiter's elliptic orbit. An asymptotic solution is derived, by applying the multiple-timescale method, for the cylindrical coordinates of the asteriods and for the perturbations of the orbital elements. This solution is used for the analysis of the long-time dynamical behaviour of the perihelion and the eccentricity of the Trojans.

Information

Type
Part IV - Asteroids: Theory and Ephemerides
Information
Symposium - International Astronomical Union , Volume 172: Dynamics, Ephemerides and Astrometry of the Solar System , 1996 , pp. 171 - 176
Copyright
Copyright © Kluwer 1996 

References

Bien, R. and Schubart, J.: 1987, Astron. Astrophys. 175, 292.Google Scholar
Bretagnon, P.: 1974, Astron. Astrophys. 30, 141.Google Scholar
Érdi, B.: 1981, Celest. Mech. 24, 377.Google Scholar
Érdi, B.: 1984, Celest. Mech. 34, 435.CrossRefGoogle Scholar
Érdi, B.: 1988, Celest. Mech. 43, 303.CrossRefGoogle Scholar
Garfinkel, B.: 1985, Celest. Mech. 36, 19.Google Scholar
Kevorkian, J.: 1970, In Periodic Orbits, Stability and Resonances (Giacaglia, G. E. O. ed.) D. Reidel Publ. Co. Dordrecht, Holland, 286.Google Scholar
Milani, A.: 1993, Celest. Mech. 57, 59.Google Scholar
Milani, A.: 1994, In Asteriods, Comets, Meteors 1993 (Milani, A. et al. eds.), 1994 IAU Printed in the Netherlands, 159.Google Scholar
Zagretdinov, R. V.: 1986, Kinematika i Fizika Nebesnih Tel 2 N 3, 68.Google Scholar
Yoshikawa, M.: 1989, Astron. Astrophys. 213, 436.Google Scholar