The resonant structure of the kuiper belt and the dynamics of the first five trans-neptunian objects

Icarus

Volumn 118, Issue 2, 1995, Pages 322-340

  Morbidelli, A ^a   Thomas, F ^a   Moons, M ^b  

^a UNIVERSITÉ CÔTE D'AZUR   (France)

^b UNIVERSITY OF NAMUR   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58149324792     PISSN: 00191035     EISSN: 10902643     Source Type: Journal    
DOI: 10.1006/icar.1995.1194     Document Type: Article

References (44)

1. Beauge, C. 1994. Asymmetric librations in exterior resonances. Ceiest. Mech. Dynam. Astron. 60, 225-248.
2. COCHRAN, A. L H, F LEVISON, A. S. STERN, and M. J. DUNCAN 1995. The discovery of Halley-sized Kuiper belt objects using HST. Astrophys. J., in press.
3. DUNCAN, M. J. 1994. Orbital stability and the structure of the Solar System. In Circumstellar dust disks and planet formation (R. Ferlet and A. Vidal-Madjat, Eds.), pp. 245-256. Editions Frontiere, yif-sur- Yvette (France).
4. DUNCAN, M. J., T. R. QUINN, and S. TREMAINE 1987. The formation and extent of the Solar System comet cloud. Astron. J. 94, 1330-1338.
5. DUNCAN, M. J., T. R. QUINN, and S. TREMAINE 1988. The origin of short- period comets. Astrophys. J. 328, L69-L73.
6. DUNCAN, M. J., H. F LEVISON, and S. M. BUDD 1995. The long-term stability of orbits in the Kuiper belt. Astron. J, in press.
7. Edgeworth, K. E. 1949. The origin and evolution of the Solar System. Mon. Not. R. Astron. Soc. 109, 600-609.
8. FERNÁNDEZ, J. A. 1980b. On the existence of a comet belt beyond Neptune. Mon. Not. R. Astron. Soc. 192, 481-491.
9. FESTOU, M. C., H. RICKMAN, and R. M. WEST, 1994. Comets. Astron. Astrophys. Rev. 4, 363-583.
10. HENRARD, J., and A. LEMAÎTRE, 1983. A second fundamental model for resonance. Ceiest. Mech. Dynam. Astron. 30, 197-218.
11. Heppenheimer, T. A. 1979. Reduction to proper elements for the entire Solar System. Ceiest. Mech. Dynam. Astron. 20, 231-241.
12. HOLMAN, M. J., and J. WSSDOM, 1993. Stability of test particle orbits in the outer Solar System. Astron. J. 105, 1987-1999.
13. JEWITT, D. C., and J. X. Luu 1995. The Solar System beyond Neptune. Astron. J. 109, 1987-2002.
14. KNEŽEVIĆ, Z., A. MILANI, P. FARINELLA, Ch. FROESCHLÉ, and C. FROESCHLE, 1991. Secular resonances from 2 to 50 AU. Icarus 93, 316-330.
15. Kozai, Y. 1962. Secular perturbations of asteroids with high inclination and eccentricity. Astron. J. 67, 591-598.
16. Kozai, Y. 1985. Secular perturbations of resonant asteroids. Ceiest. Mech. Dynam. Aslron. 36, 47-69.
17. Kuiper, G. P. 1951. On the origin of the Solar System. In Astrophysics: A Topical Symposium (J. A. Hynek, Ed.), pp. 357-424. McGraw-Hill, New York.
18. Levison, H. F. and M. J. Duncan 1993. The gravitational sculpting of the Kuiper belt. Astrophys. J. 406, L35-L38.
19. Levison, H. F. and M. J. Duncan 1994. The long-term dynamical behavior of short period comets. Icarus 108, 18-36.
20. LEVISON, H. F. and A. S. STERN 1995. Possible origin and early dynamical evolution of the Pluto-Charon binary. Icarus 116, 315-339.
21. MALHOTRA, R. 1995a. The origin OF Pluto's orbit: Implications for the Solar System beyond Neptune. Astron. J. 110, 420-429.
22. MALHOTRA, R. 1995b. The phase space structure near Neptune resonances in the Kuiper belt. Astron. J., in press.
23. Message, J. 1958. The search for asymmetric periodic orbits in the restricted problem of three bodies. Astron. J. 63, 443-448.
24. Message, J. 1959. Some periodic orbits in the restricted problem of three bodies and their stabilities. Astron. J. 64, 226-236.
25. MOONS, M., and A. MORBIDELLI 1995. Secular resonances in mean motion commensurabilities: The 4/1, 3/1, 5/2, and 7/3 cases. Icarus 114, 33-50.
26. MORBIDELLI, A. 1993. Asteroid secular resonant proper elements. Icarus 105, 48-66.
27. MORBIDELLI, A. and J. HENRARD 1991a. Secular resonances in the asteroid belt: Theoretical perturbation approach and the problem of their location. Celesl. Mech. Dynam. Astron. 51, 169-197.
28. MORBIDELLI, A., and M. MOONS 1993. Secular resonances in mean motion commensurabilities: The 2/1 and 3/2 cases. Icarus 102, 316-332.
29. NACOZY, P. E., and R. E. DIEHL 1974. On the long-term motion of Pluto. Celest. Mech. Dynam. Astron 8, 445-454.
30. NACOZY, P. E., and R. E. DIEHL 1978. A semianalytical theory for the long-term motion of Pluto. Astron. J. 83, 522-530.
31. NOBILI, A., A. MILANI, and M. CARPINO 1989. Fundamental frequencies and small divisors in the orbit of the outer planets. Astron. Astrophys. 210, 313-336.
32. QUINN, T. R., S. TREMAINE, and M. J. DUNCAN 1990. Planetary perturbations and the origin of short-period comets. Astrophys. J. 355, 667-679.
33. SCHUBART, J. 1964. Long-period effects in nearly commensurable cases of the restricted three body problem. Smithson. Astrophys. Obs. Spec. Report 149.
34. ŠIDLICHOVSKÝ, M. 1990. The existence of a chaotic region due to the overlap of secular resonances and Celest. Mech. Dynam. Astron. 49, 177-196.
35. Simó, C., M GÉMEZ A. JORBA, and J. MASDEMONT 1995. The bicircular model near the triangular libration points of the restricted three body problem. In From Newton to Chaos: Modern Techniques for Understanding and Coping with Chaos in N-Body Dynamical System (A. E. Roy and B. A. Steves, Eds.), pp. 343-370. Plenum, London.
36. STERN, A. S. 1995a. The development and status of the Kuiper disk. Completing the Inventory of the Solar System (T. Bowell, Ed.). ASP, San Francisco.
37. STERN, A. S. 1995b. Collisional time scales in the Kuiper disk and their implications. Atfron. J. 110, 856-868.
38. THOMAS, F, and A. MORBIDELLI 1995. THE Kozai resonance in the outer Solar System and the dynamics of long-period comets. Celest. Mech. Dynam. Astron., submitted.
39. TORBETT, M. V., and R. SMOLUCHOWSKI 1990. Chaotic motion in a primordial comet disk beyond Neptune and comet influx to the Solar System. Nature 345, 49-51.
40. Williams, J. G. 1969. Secular resonances in the Solar System. Ph.D. dissertation, University of California, Los Angeles.
41. WILLIAMS, J. G., and G. S. BENSON 1971. Resonances in the Neptune- Pluto system. Astron. J. 76, 167-177.
42. WISDOM, J. 1985. A perturbative treatment of motion near the 3/1 com- mensurability. Icarus 63, 272-289.
43. WISDOM, J., and M. J. HOLMAN 1991. Simplectic maps for the jV-body problem. Astron. J. 102, 1528-1538.
44. ZHENG, J. Q., M. J. VALTONEN, S. MIKKOLA, M. KORPI, and H. RICKMAN 1995. Orbits of short period comets captured from the Oort cloud. In Worlds in Interaction: Small Bodies and Planets of the Solar System. (H. Rickman and M. J. Valtonen, Eds.), pp. 45-50. Kluwer, Dordrecht.