How long-lived are the hypothetical Trojan populations of Saturn, Uranus, and Neptune?

Icarus

Volumn 160, Issue 2, 2002, Pages 271-288

  Nesvorn D ^a   Dones, L ^a  

^a SOUTHWEST RESEARCH INSTITUTE   (United States)

Author keywords

Dynamics; Resonances; Trojans

Indexed keywords

EID: 0036956879     PISSN: 00191035     EISSN: None     Source Type: Journal    
DOI: 10.1006/icar.2002.6961     Document Type: Article

References (59)

1. Allen, R. L., G. M. Bernstein, and R. Malhotra 2001. The edge of the Solar System. Astrophys. J. 549, L241-244.
2. Beaugé, C., F. Roig, and D. Nesvorný 2002. Effects of the planetary migration on natural satellites of the outer planets. Icarus 158, 483-498.
3. Benettin, G., L. Galgani, and J. M. Strelcyn 1976. Kolmogorov entropy and numerical experiments. Phys. Rev. A 14, 2338-2345.
4. Bretagnon, P., and J.-L. Simon 1990. General theory of the Jupiter-Saturn pair using an iterative method. Astron. Astrophys. 239, 387-398.
5. Brunini, A., and M. D. Melita 1998. On the existence of a primordial cometary belt between Uranus and Neptune. Icarus 135, 408-414.
6. Bryden, G., D. N. C. Lin, and S. Ida 2000. Protoplanetary Formation. I. Neptune. Astron. J. 544, 481-495.
7. 4 Trojans. Bull. Am. Astron. Soc., 1020 29, [abstract #25.08.]
8. Chirikov, B. V. 1979. A universal instability of many-dimensional oscillator systems. Phys. Rep. 52, 263-379.
9. Christou, A. A. 2000. A numerical survey of transient co-orbitals of the terrestrial planets. Icarus 144, 1-20.
10. de la Barre, C. M., W. M. Kaula, and F. Varadi 1996. A study of orbits near Saturn's triangular Lagrangian points. Icarus 121, 88-113.
11. Everhart, E. 1973. Horseshoe and Trojan orbits associated with Jupiter and Saturn. Astron. J. 78, 316-328.
12. Fernandez, J. A., and W.-H. Ip, 1984. Some dynamical aspects of the accretion of Uranus and Neptune - The exchange of orbital angular momentum with planetesimals. Icarus 58, 109-120.
13. Fleming, H. J., and D. P. Hamilton 2000. On the origin of the Trojan asteroids: Effects of Jupiter's mass accretion and radial migration. Icarus 148, 479-493.
14. Gladman, B. J., P. D. Nicholson, J. A. Burns, J. J. Kavelaars, B. G. Marsden, G. V. Williams, and W. B. Offutt 1998a. Discovery of two distant irregular moons of Uranus. Nature 392, 897-899.
15. Gladman, B., J. J. Kavelaars, P. D. Nicholson, T. J. Loredo, and J. A. Burns 1998b. Pencil-beam surveys for faint trans-neptunian objects. Astron. J. 116, 2042-2054.
16. Gladman, B., J. Kavelaars, M. Holman, J.-M. Petit, H. Scholl, P. Nicholson, and J. A. Burns 2000. The discovery of Uranus XIX, XX, and XXI. Icarus 147, 320-324. Erratum in Icarus 148, 302.
17. Gladman, B., J. J. Kavelaars, J. Petit, A. Morbidelli, M. J. Holman, and T. Loredo 2001. The structure of the Kuiper Belt: Size distribution and radial extent. Astron. J. 122, 1051-1066.
18. Gomes, R. S. 1998. Dynamical effects of planetary migration on primordial Trojan-type asteroids. Astron. J. 116, 2590-2597.
19. Hahn, J. M., and R. Malhotra 1999. Orbital evolution of planets embedded in a planetesimal disk. Astron. J. 117, 3041-3053.
20. Holman, M. J. 1997. A possible long-lived belt of objects between Uranus and Neptune. Nature 387, 785-788.
21. Holman, M. J., and J. Wisdom 1993. Dynamical stability in the outer Solar System and the delivery of short period comets. Astron. J. 105, 1987-1999.
22. Holman, M. J., J. J. Kavelaars, B. J. Gladman, J.-M. Petit, D. Milisavljevic, and R D. Nicholson 2001. Deep Optical Searches for Faint Uranian and Neptunian Satellites. Bull. Am. Astron. Soc., 1108 33, [abstract #37.11.]
23. Ida, S., and J. Makino 1992. N-body simulation of gravitational interaction between planetesimals and a protoplanet. Icarus 96, 107-120.
24. Innanen, K. A., and S. Mikkola 1989. Studies on Solar System dynamics. I - The stability of saturnian Trojans. Astron. J. 97, 900-908.
25. Jedicke, R., J. Larsen, and T. Spahr 2002. Observational selection effects in asteroid surveys and estimates of asteroid population sizes. In Asteroids III (W. Bottke, A. Cellino, P. Paolicchi, and R. P. Binzel, Eds.). Univ. of Arizona Press, Tucson, in press.
26. Jewitt, D. C., C. A. Trujillo, and J. X. Luu 2000. Population and size distribution of small jovian Trojan asteroids. Astron. J. 120, 1140-1147.
27. Levison, H. F, and M. Duncan 1994. The long term dynamical behavior of short period comets. Icarus 108, 18-36. Also see http://www.boulder.swri.edu/˜hal/swift.html.
28. Levison, H. F., and G. R. Stewart 2001. Remarks on modeling the formation of Uranus and Neptune. Icarus 153, 224-228.
29. Levison, H. F., E. M. Shoemaker, and C. S. Shoemaker 1997. The long-term dynamical stability of Jupiter's Trojan asteroids. Nature 385, 42-44.
30. Marzari, F, and H. Scholl 1998. Capture of Trojans by growing proto-Jupiter. Icarus 131, 41-51.
31. Marzari, F., and H. Scholl 2000. The role of secular resonances in the history of Trojans. Icarus 146, 232-239.
32. Marzari, F., H. Scholl, and P. Farinella 1996. Collision rates and impact velocities in the Trojan asteroid swarms. Icarus 119, 192-201.
33. Marzari, F., P. Farinella, D. R. Davis, H. Scholl, and V. Campo Bagatin 1997. Collisional evolution of Trojan asteroids. Icarus 125, 39-49.
34. Marzari, F., H. Scholl, C. Murray, and C. I. Lagerkvist 2002. Origin and evolution of Trojan asteroids. In Asteroids III (W. Bottke, A. Cellino, P. Paolicchi, and R. Binzel, Eds.). Univ. of Arizona Press, Tucson, in press.
35. Melita, M. D., and A. Brunini 2001. A possible long lived asteroid population at the equilateral Lagrangian points of Saturn. Mon. Not. R. Astron. Soc. 322, L17-21.
36. Michtchenko, T. A., C. Beaugé, and F. Roig 2001. Planetary migration and the effects of mean motion resonances on Jupiter's Trojan asteroids. Astron. J. 122, 3485-3491.
37. Mikkola, S., and K. Innanen 1992. A numerical exploration of the evolution of Trojan-type asteroidal orbits. Astron. J. 104, 1641-1649.
38. Mikkola, S., K. Innanen, K. Muinonen, and E. Bowell 1994. A preliminary analysis of the orbit of the Mars Trojan asteroid (5261) Eureka. Celest. Mech. Dynam. Astron. 58, 53-64.
39. Moons, M. 1993. On the Resonant Hamiltonian in the Restricted Three-Body Problem. Report 93-19, Department of Mathematics, Facultés Universitaires Notre Dame de la Paix, B-5000 Namur, Belgium.
40. Morbidelli, A. 2002. Modern Celestial Mechanics. Aspects of Solar System Dynamics. Taylor and Francis, London.
41. Morbidelli, A., and D. Nesvorný 1999. Numerous weak resonances drive asteroids toward terrestrial planets orbits. Icarus 139, 295-308.
42. Namouni, F. 1999. Secular interactions of coorbiting objects. Icarus 137, 293-314.
43. Nesvorný, D., and F. Roig 2000. Mean motion resonances in the trans-neptunian region. I. The 2: 3 resonance with Neptune. Icarus 148, 282-300.
44. Nesvorný, D., F. Thomas, S. Ferraz-Mello, and A. Morbidelli 2002. A perturbative treatment of the co-orbital motion. Celest. Mech. Dynam. Astron. 82, 323-361.
45. Oseledec, V. I. 1968. A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc. 19, 197-231.
46. Petit, J., A. Morbidelli, and G. B. Valsecchi 1999. Large scattered planetesimals and the excitation of the small body belts. Icarus 141, 367-387.
47. Pollack, J. B., O. Hubickyj, P. Bodenheimer, J. J. Lissauer, M. Podolak, and Y. Greenzweig 1996. Formation of the giant planets by concurrent accretion of solids and gas. Icarus 124, 62-85.
48. Quinlan, G. D., and S. Tremaine 1990. Symmetric multistep methods for the numerical integration of planetary orbits. Astron. J. 100, 1694-1700.
49. Shoemaker, E. M., C. S. Shoemaker, and R. F. Wolfe 1989. Trojan asteroids - Populations, dynamical structure and origin of the L4 and L5 swarms. In Asteroids II (R. P. Binzel, T. Gehrels, and M. S. Matthews, Eds.), pp. 487-523. Univ. of Arizona Press, Tucson.
50. Storrs, A., B. Weiss, B. Zellner, W. Burleson, R. Sichitiu, E. Wells, C. Kowal, and D. Tholen 1999. Imaging observations of asteroids with Hubble Space Telescope. Icarus 137, 260-268.
51. Thommes, E. W. T., M. J. Duncan, and H. F. Levison 1999. The formation of Uranus and Neptune in the Jupiter-Saturn region of the Solar System. Nature 402, 635-637.
52. Thommes, E. W., M. J. Duncan, and H. F. Levison 2002. The formation of Uranus and Neptune among Jupiter and Saturn. Astron. J. 123, 2862-2883.
53. Trujillo, C. A., D. C. Jewitt, and J. X. Luu 2001. Properties of the trans-neptunian belt: Statistics from the Canada-France-Hawaii Telescope survey. Astron. J. 122, 457-473.
54. Weissman, P. R., and H. F. Levison 1997. The population of the trans-neptunian region: The Pluto-Charon environment. In Pluto and Charon (S. A. Stern and D. J. Tholen, Eds.), pp. 559-604. Univ. of Arizona Press, Tucson.
55. Wiegert, P. A., K. A. Innanen, and S. Mikkola 1997. An asteroidal companion to the Earth. Nature 387, 685-685.
56. Wisdom, J. 1980. The resonance overlap criterion and the onset of stochastic behavior in the restricted three-body problem. Astron. J. 85, 1122-1133.
57. Wisdom, J., and M. Holman 1991. Symplectic maps for the N-body problem. Astron. J. 102, 1528-1538.
58. Wisdom, J., and M. Holman 1992. Symplectic maps for the N-body problem - Stability analysis. Astron. J. 104, 2022-2029.
59. Yoder, C. F. 1979. Notes on the origin of the Trojan asteroids. Icarus 40, 341-344.