Chaos-assisted capture of irregular moons

Nature

Volumn 423, Issue 6937, 2003, Pages 264-267

  Astakhov, Sergey A ^a   Burbanks, Andrew D ^b   Wiggins, Stephen ^b   Farrelly, David ^a  

^a UTAH STATE UNIVERSITY   (United States)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ASTRONOMY; COMPUTER SIMULATION; GRAVITATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; MOON;

DISSIPATIVE ENERGY LOSS; JUPITER; NON CIRCULAR ORBITS; PLANETARY GRAVITY;

PLANETS;

GRAVITY; JUPITER; PLANETARY SATELLITE; SATURN;

ARTICLE; ASTRONOMY; ENERGY; MATHEMATICAL ANALYSIS; MONTE CARLO METHOD; MOON; PRIORITY JOURNAL;

EID: 1842539718     PISSN: 00280836     EISSN: None     Source Type: Journal    
DOI: 10.1038/nature01622     Document Type: Article

References (30)

1. Peale, S. J. Origin and evolution of the natural satellites. Annu. Rev. Astron. Astrophys. 37, 533-602 (1999).
2. Heppenheimer, T. A. & Porco, C. New contributions to the problem of capture. Icarus 30, 385-401 (1977).
3. Pollack, J. R., Burns, J. A. & Tauber, M. E. Gas drag in primordial circumplanetary envelopes: A mechanism for satellite capture. Icarus 37, 587-611 (1979).
4. Murray, C. D. & Dermot, S. F. Solar System Dynamics (Cambridge Univ. Press, Cambridge, 1999).
5. Shephard, S. S., Jewitt, D. C., Fernandez, Y. R., Magnier, G. & Marsden, B. G. Satellites of Jupiter. IAU Circ. No., 7555 (2001).
6. Shephard, S. S., Jewitt, D. C., Kleyna, J., Marsden, B. G. & Jacobson, R. Satellites of Jupiter. IAU Circ, No., 7900 (2002).
7. Shephard, S. S. et al. Satellites of Jupiter. IAU Circ. No., 8087 (2003).
8. Gladman, B. J. et al. Discovery of 12 satellites of Saturn exhibiting orbital clustering. Nature 412, 163-166 (2001).
9. Lichtenberg, A. J. & Lieberman, M. A. Regular and Chaotic Dynamics, 2nd edn 174-183 (Springer, New York, 1992).
10. Perry, A. D. & Wiggins, S. KAM tori are very sticky: rigorous lower bounds on the time to move from an invariant Lagrangian torus with linear flow. Physica D 71, 102-121 (1994).
11. Kary, D. M., Lissauer, J. J. & Greenzweig, Y. Nebular gas drag and planetary accretion. Icarus 106, 288-307 (1993).
12. Colombo, G. & Franklin, F. A. On the formation of the outer satellite group of Jupiter. Icarus 15, 186-189 (1971).
13. Huang, T.-Y. & Innanen, K. A. The gravitational escape/capture of planetary satellites. Astron. J. 88, 1537-1547 (1983).
14. Murison, M. A. The fractal dynamics of satellite capture in the circular restricted three-body problem. Astron. J. 98, 2346-2359 (1989).
15. Namouni, F. Secular interactions of coorbiting objects. Icarus 137, 293-314 (1999).
16. Carruba, V., Burns, J. A., Nicholson, P. D. & Gladman, B. J. On the inclination distribution of the Jovian irregular satellites. Icarus 158, 434-449 (2002).
17. Nesvorn'y, D., Thomas, F., Ferraz-Mello, S. & Morbidelli, A. A perturbative treatment of co-orbital motion. Celest. Mech. Dynam. Astron. 82, 323-361 (2002).
18. Vieira Neto, E. & Winter, O. C. Time analysis for temporary gravitational capture: satellites of Uranus. Astron. J 122, 440-448 (2001).
19. Marzani, F. & Scholl, H. Capture of Trojans by a growing proto-Jupiter. Icarus 131, 41-51 (1998).
20. Henon, M. Numerical exploration of the restricted problem. VI. Hill's case: non-periodic orbits. Astron. Astrophys. 9, 24-36 (1970).
21. Winter, O. C. & Vieira Neto, E. Time analysis for temporary gravitational capture: stable orbits. Astron. Astrophys. 377, 1119-1127 (2001).
22. Saha, P. & Tremaine, S. The orbits of the retrograde Jovian satellites. Icarus 106, 549-562 (1993).
23. Contopolous, G. The "third" integral in the restricted three-body problem. Astrophys. J. 142, 802-804 (1965).
24. Kozai, Y. Secular perturbations of asteroids with high inclinations and eccentricities. Astron. J. 67, 591-598 (1962).
25. Goldreich, P., Lithwick, Y. & Sari, R. Formation of Kuiper-belt binaries by dynamical friction and three-body encounters. Nature 420, 643-646 (2002).
26. Stern, S. A. & McKinnon, W. B. Triton's surface age and impactor population revisited in light of Kuiper Belt fluxes: Evidence for small Kuiper Belt objects and recent geological activity. Astron. J. 119, 945-952 (2000).
27. Press, W. H., Teukolsky, S. A., Vetterling, W. T. & Flannery, B. P. Numerical Recipes in C, 2nd edn 724-732 (Cambridge Univ. Press, Cambridge, 1999).
28. Aarseth, S. From NBODY1 to NBODY6: The growth of an industry. Publ. Astron. Soc. Pacif. 111, 1333-1346 (1999).
29. Brunello, A. F., Uzer, T. & Farrelly, D. Hydrogen atom in circularly polarized microwaves: Chaotic ionization via core scattering. Phys. Rev. A 55, 3730-3745 (1997).
30. Lee, E., Brunello, A. F. & Farrelly, D. Coherent states in a Rydberg atom: Classical dynamics. Phys. Rev. A 55, 2203-2221 (1997).