Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-23T14:27:52.668Z Has data issue: false hasContentIssue false

Mean Motion Resonances in The Asteroid Belt

Published online by Cambridge University Press:  12 April 2016

D. Nesvorný
Affiliation:
Observatoire de la Côte d’Azur, B.P. 4229 - Nice Cedex 4, France
A. Morbidelli
Affiliation:
Observatoire de la Côte d’Azur, B.P. 4229 - Nice Cedex 4, France

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The Kirkwood gaps in the main asteroidal belt (2 – 3.5 AU) coincide with the mean motion resonances with Jupiter (4/1, 3/1, 5/2, 7/3, 2/1). Similarly, several narrower gaps are observed in the outer asteroid belt (3.5 – 4 AU) at places of 11/6, 9/5, 7/4 and 5/3 Jovian resonances (Holman and Murray 1996). As it is now generally accepted, the formation and preservation of these gaps is due to the chaos of the resonant space and efficient ejection of the primordial and collisionaly injected bodies towards high eccentricities and planet-crossing orbits.

The Jovian mean motion resonances are not the most important in what concerns the chaos of the observed (i.e. remaining) asteroid population. It was estimated by Šidlichovský and Nesvorný (1998) that about 40% of known objects have the Lyapunov time less than 105 years. It was later found (Nesvorný and Morbidelli 1998, 1999; Morbidelli and Nesvorný 1999) that the resonances responsible for this chaos are, in decreasing order of importance: 1) three-body resonances with Jupiter and Saturn, 2) exterior resonances with Mars, 3) moderate order Jovian resonances, and 4) three-body resonances with Mars and Jupiter.

Type
Extended Abstracts
Copyright
Copyright © Kluwer 1999

References

Migliorini, F., Michel, P., Morbidelli, A., Nesvorný, D. and Zappalà, V.: 1998, Origin of Multikilometer Earth and Mars-Crossing Asteroids: A Quantitative Simulation, Science, 281, 20222024 Google Scholar
Morbidelli, A.: 1993, On the succesive elimination of perturbation harmonics, Celest. Mech., 55, 101130 Google Scholar
Morbidelli, A. and Nesvorný, D.: 1999, Numerous weak resonances drive asteroids towards terrestrial planets orbits, Icarus, in pressGoogle Scholar
Nesvorný, D. and Morbidelli, A.: 1998, Three-body mean motion resonances and the chaotic structure of the asteroid belt, Astron. J., 116, 30293037 Google Scholar
Nesvorný, D. and Morbidelli, A.: 1999, An analytic model of three-body mean motion resonances, Celest. Mech., in pressGoogle Scholar