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Stochasticity of the Orbit of the Asteroid 1989 AC

Published online by Cambridge University Press:  12 April 2016

D. Benest
Affiliation:
O.C.A. Observatoired de Nice, B.P. 139, F-06003 Nice Cedex, France
C. Froeschlé
Affiliation:
O.C.A. Observatoired de Nice, B.P. 139, F-06003 Nice Cedex, France
R. Gonczi
Affiliation:
O.C.A. Observatoired de Nice, B.P. 139, F-06003 Nice Cedex, France

Abstract

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Using mainly Lyapunov Characteristic Indicators, the stochasticity of the orbit of the asteroid 1989 AC has been investigated in the framework of three-body, five-body and seven-body restricted models. From our first results, the orbit of 1989 AC has been found fairly chaotic, through an interplay of the 3/1 resonance with Jupiter and close approaches with the inner planets.

Type
Part II Ergodic and Stochastic Motion
Copyright
Copyright © Nova Science Publishers 1993

References

[1] Froeschlé, C., The Lyapunov Characteristic Exponents - Applications to Celestial Mechanisms, Celes Mech. 34, 95115 (1984)Google Scholar
[2] Froeschlé, C., Experiences Numériques et Mécanique Celeste in Les Methodes Modernes de la Mécanique Celeste, eds. Benest, D. and Froeschlé, C., Editions Frontieres, pp.331367 (1990).Google Scholar
[3] Green, D.W.E., I.A.U. Circ. 4734 and M.P.C. 14204 (1989).Google Scholar
[4] Hénon, M., Numerical Exploration of Hamiltonian Systems in Chaotic Behaviour of Deterministic Systems (Cours des Houches) 36, 53170 (1981).Google Scholar
[5] Hénon, M., Heiles, C., The Applicability of the third integral of Motion: Some Numerical Experiments, Astron. J. 69, 7379 (1964).Google Scholar
[6] Milani, A., Carpino, M., Hahn, G., Nobili, A., Dynamics of Planet-crossing Asteroids: Classes of Orbital Behaviour, Icarus 78, 212269 (1989).Google Scholar