Large scale chaos and marginal stability in the solar system

Celestial Mechanics and Dynamical Astronomy

Volumn 64, Issue 1-2, 1996, Pages 115-162

  Laskar, Jacques ^a  

^a Bureau des Longitudes   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346001036     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00051610     Document Type: Article

References (27)

1. Applegate, J.H., Douglas, M.R., Gursel, Y., Sussman, G.J. and Wisdom, J.: 1986, 'The solar system for 200 million years,' Astron. J. 92, 176-194
2. Arnold V.: 1963a, Proof of Kolmogorov's theorem on the preservation of quasi-periodic motions under small perturbations of the hamiltonien, Rus. Math. Surv. 18, N6 9-36
3. Arnold, V. I.: 1963b, 'Small denominators and problems of stability of motion in classical celestial mechanics,' Russian Math. Surveys, 18, 6, 85-193
4. Bretagnon, P.: 1974, Termes à longue périodes dans le système solaire, Astron. Astrophys 30 341-362
5. Brumberg, V.A., Chapront, J.: 1973, Construction of a general planetary theory of the first order, Cel. Mech. 8 335-355
6. Carpino, M., Milani, A. and Nobili, A.M.: 1987, Long-term numerical integrations and synthetic theories for the motion of the outer planets, Astron. Astrophys 181 182-194
7. Celletti, A.: 1990a, Analysis of resonances in the spin-orbit problem in celestial mechanics: the synchronous resonance (Part I), J. Appl. Math. Phys. (ZAMP) 41 174-204
8. Celletti, A.: 1990b, Analysis of resonances in the spin-orbit problem in celestial mechanics: higher order resonances and some numerical experiments (Part II), J. Appl. Math. Phys. (ZAMP) 41 453-479
9. Chirikov, B.V.: 1979, A universal instability of many dimensional oscillator systems, Physics Reports 52 263-379
10. Chirikov, B.V., Vecheslavov, V.V.: 1989, Chaotic dynamics of comet Halley, Astron. Astrophys. 221, 146-154
11. Cohen, C.J., Hubbard, E.G., Oesterwinter, C.: 1973, , Astron. Papers Am. Ephemeris XXII 1
12. Colombo, G.: 1966, Astron. J., 71, 891-896
13. Dermott, S.F., Murray, C. D.: Nature of the Kirkwood gaps in the asteroidal belt, Nature, 301, 201-205
14. Dobrovolskis, A.R.: 1980, Atmospheric Tides and the Rotation of Venus :II.Spin Evolution, Icarus, 41, 18-35
15. Dones, L., Tremaine, S.: 1993a, Why does the Earth spin forward?, Science 259 350-354
16. Dones, L., Tremaine, S.: 1993b, On the origin of planetary spins, Icarus 103 67-92
17. Dumas, H. S., Laskar, J.: 1993, Global Dynamics and Long-Time Stability in Hamiltonian Systems via Numerical Frequency Analysis, Phys. Rev. Lett. 70, 2975-2979
18. Duncan, M., Quinn, T., Tremaine, S.: 1988, The origin of short period comets Astrophys. J. Lett, 328, L69-L73
19. Duncan, M., Quinn, T., Tremaine, S.: 1989, The Long-Term evolution of orbits in the solar system: a mapping approach Icarus, 82, 402-418
20. Duriez, L.: 1979, Approche d'une théorie générale planétaire en variable elliptiques héliocentriques, thèse Lille
21. Farinella, P., Froeschlé, Ch.,Gonczi, R.: 1993, Meteorites from the asteroid 6 Hebe, Cel. Mech. 56 287-305
22. Farinella, P. , Froeschlé, C., Gonczi, R.: 1994, Meteorite delivery and transport, in Symposium IAU 160, A. Milani, M. Di Martino, A. Cellino, eds, 205-222, Kluwer, Dordrecht
23. Fernández, J.A.: 1980, On the existence of a comet belt beyond Neptune, Mon. Not. Roy. AStron. Soc., 192, 481-492
24. Fernández, J.A.: 1994, Dynamics of comets: recent developments and new challenges, in Symposium IAU 160, A. Milani, M. Di Martino, A. Cellino, eds, 223-240, Kluwer, Dordrecht
25. Ferraz-Mello, S.: 1994, Kirkwood gaps and resonant groups, in Symposium IAU 160, A. Milani, M. Di Martino, A. Cellino, eds, 175-188, Kluwer, Dordrecht
26. Froeschlé, C., Scholl, H.: 1977 A qualitative comparison between the circular and elliptic Sun-Jupiter-asteroid problem at commensurabilities Astron. Astrophys. 57, 33-59
27. Froeschlé, C., Gonzci, R.: 1988, On the stochasticity of Halley like comets, Celes. Mech. 43, 325-330