On stable chaos in the asteroid belt

Celestial Mechanics and Dynamical Astronomy

Volumn 73, Issue 1-4, 1999, Pages 77-86

  Šidlichovský, Miloš ^a  

^a ASTRONOMICAL INSTITUTE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002978413     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1007/978-94-011-4527-5_8     Document Type: Article

References (16)

1. Froeschlé, Cl., Gonzi, R., Lega, E., Locatelli, U.: 1998, On the stochasticity of asteroid belt, it submitted to Celest. Mech. Dyn. Astron.
2. Holman ,M. J., Murray, N. W.: 1996, Chaos in high-order mean motion resonances in the outer asteroid belt, A.J. 112, pp. 1278-1293
3. Laskar, J.: 1990, The Chaotic Motion in the Solar System. A Numerical Estimate of the Size of the Chaotic Zones, Icarus 88, pp. 266-291
4. Laskar, J., Froeschlé, Cl. and Celetti, A.: 1992, The Measure of Chaos by Numerical Analysis of the Fundamental Frequencies. Application to Standard Mapping, Physica D 56, pp. 253-269
5. Lega, E. and Froeschlé, Cl.: 1997, Fast LyapunovIndicators Comparison with Other Chaos Indicators Application to Two and Four Dimensional Maps, in The Dynamical Behaviour of our Planetary System, Proceedings of the Fourth Alexandervon Humboldt Colloquium on Celestial Mechanics, editors: R. Dvorak, J. Henrard, Kluwer Academic Publishers, Dordrecht, pp. 257-275
6. Milani, A. and Nobili, A. M.: 1992, An example of stable chaos in the Solar System, Nature 357, pp. 569-571
7. Milani, A., Nobili, A.M. and Knežević, Z.: 1997, Stable Chaos in Asteroid Belt, Icarus, 125,pp. 13-31
8. Morbidelli, A. and Froeschlé, Cl.: 1996, On the Relationship between Lyapunov Times and Macroscopic Instability Times, Celest. Mech. Dynam. Astron. 63, pp. 227-239
9. Morbidelli, A., Nesvorný, D.: 1998, Numerous weak resonances drive asteroids towards terrestrial planets orbits, submitted to Icarus
10. Nesvorný, D.: 1998, private communication
11. Nesvorný, D., Morbidelli, A.: 1998, An analytic model of three-body mean motion resonances, Celest. Mech. Dyn. Astron., in print
12. Quinlan, G.D. and Tremaine, S.: 1990, Symmetric Multistep Methods for the Numerical Integration of Planetary Orbits, A.J. 100, pp. 1694-1700
13. Quinn, T. R., Tremaine, S., Duncan, M.: 1991, A three million year integration of the Earth's orbit, A.J. 101, pp. 2287-2305
14. Šidlichovský, M., Nesvorný, D.: 1994, Temporary Capture of Grains in Exterior Resonances with the Earth,Astron. Astrophys. 289, pp. 972-982
15. Šidlichovský, M. and Nesvorný, D.: 1997, Frequency Modified Fourier Transform and its Application to Asteroids, in The Dynamical Behaviour of our Planetary System, Proceedings of the Fourth Alexander von Humboldt Colloquium on Celestial Mechanics, editors: R. Dvorak, J. Henrard, Kluwer Academic Publishers, Dordrecht, pp. 137-148
16. Šidlichovský, M. and Nesvorný, D.: 1998, A study of chaos in the asteroid belt, The Dynamics of Small Bodies in the Solar System: A Major Key to Solar System Studies, Proceedings of the NATO ASI in Maratea 1997, editors: A. E. Roy, B. A. Steves, Kluwer Academic Publishers, Dordrecht.