Abstract
The use of precise numerical integrations and Fourier analysis techniques allowed us an investigation of the regular motions of asteroids near the 3:2 resonance with Jupiter (Hildas). The results are shown and compared to similar results previously obtained with analytical models.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Carpino, M., Milani, A., Nobili, A.M.: 1987, “Long-term numerical integrations and synthetic theories for the motion of the outer planets”, Astron. Astrophys. 181 182–194.
Everhart, E.: 1985, “An efficient integrator that uses Gauss-Radau spacings”, in Dynamics of Comets: their origin and evolution (A.Carusi and G.B.Valsecchi, eds.) Reidel, Dordrecht, pp. 185–202.
Ferraz-Mello, S.: 1981, “Estimation of periods from unequally spaced observations” Astron. J. 86619–624.
Ferraz-Mello, S.: 1988, “The high-eccentricity libration of the Hildas”, Astron. J. 96 400–408.
Ferraz-Mello, S., Tsuchida, M., Klafke, J.C.: 1992, “On symmetrical planetary corotations”, Celest. Mech. Dyn. Astron. (in press).
Greenberg, R., Franklin, F.: 1975, “Coupled librations in the motion of asteroids near the 2:1 resonance”, Mon. Not. R. astr. Soc. 173 1–8.
Ip, W.-H.: 1976, “Dynamical study of the Hilda asteroids. I. Resonant orbital motions of the PLS objects from Palomar-Leiden survey”, Astrophys. Sp. Sci. 44 337–383.
Press W.H. et al.:1987, Numerical Recipes, Cambridge University Press, Cambridge, UK.
Rabiner, L.R., Gold, B.: 1975, Theory and Application of Digital Signal Processing, Prentice Hall, Englewood Cliffs, NJ.
Schubart, J.: 1968, “Long-period effects in the motion of Hilda-type planets”, Astron. J. 73 99–103.
Wisdom, J.: 1983, “Chaotic behaviour and the origin of the 3:1 Kirkwood gap”, Icarus 56 51–74.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Michtchenko, T., Ferraz-Mello, S. (1993). The High-Eccentricity Libration of the Hildas II. Synthetic-Theory Approach. In: Dvorak, R., Henrard, J. (eds) Qualitative and Quantitative Behaviour of Planetary Systems. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2030-2_11
Download citation
DOI: https://doi.org/10.1007/978-94-011-2030-2_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4898-9
Online ISBN: 978-94-011-2030-2
eBook Packages: Springer Book Archive