Abstract
It has been thought1,2,3 that the capture of irregular moons—with non-circular orbits—by giant planets occurs by a process in which they are first temporarily trapped by gravity inside the planet's Hill sphere (the region where planetary gravity dominates over solar tides4). The capture of the moons is then made permanent by dissipative energy loss (for example, gas drag3) or planetary growth2. But the observed distributions of orbital inclinations, which now include numerous newly discovered moons5,6,7,8, cannot be explained using current models. Here we show that irregular satellites are captured in a thin spatial region where orbits are chaotic9, and that the resulting orbit is either prograde or retrograde depending on the initial energy. Dissipation then switches these long-lived chaotic orbits10 into nearby regular (non-chaotic) zones from which escape is impossible. The chaotic layer therefore dictates the final inclinations of the captured moons. We confirm this with three-dimensional Monte Carlo simulations that include nebular drag3,4,11, and find good agreement with the observed inclination distributions of irregular moons at Jupiter7 and Saturn8. In particular, Saturn has more prograde irregular moons than Jupiter, which we can explain as a result of the chaotic prograde progenitors being more efficiently swept away from Jupiter by its galilean moons.
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References
Peale, S. J. Origin and evolution of the natural satellites. Annu. Rev. Astron. Astrophys. 37, 533–602 (1999)
Heppenheimer, T. A. & Porco, C. New contributions to the problem of capture. Icarus 30, 385–401 (1977)
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)
Murray, C. D. & Dermot, S. F. Solar System Dynamics (Cambridge Univ. Press, Cambridge, 1999)
Shephard, S. S., Jewitt, D. C., Fernandez, Y. R., Magnier, G. & Marsden, B. G. Satellites of Jupiter. IAU Circ. No., 7555 (2001)
Shephard, S. S., Jewitt, D. C., Kleyna, J., Marsden, B. G. & Jacobson, R. Satellites of Jupiter. IAU Circ. No., 7900 (2002)
Shephard, S. S. et al. Satellites of Jupiter. IAU Circ. No., 8087 (2003)
Gladman, B. J. et al. Discovery of 12 satellites of Saturn exhibiting orbital clustering. Nature 412, 163–166 (2001)
Lichtenberg, A. J. & Lieberman, M. A. Regular and Chaotic Dynamics, 2nd edn 174–183 (Springer, New York, 1992)
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)
Kary, D. M., Lissauer, J. J. & Greenzweig, Y. Nebular gas drag and planetary accretion. Icarus 106, 288–307 (1993)
Colombo, G. & Franklin, F. A. On the formation of the outer satellite group of Jupiter. Icarus 15, 186–189 (1971)
Huang, T.-Y. & Innanen, K. A. The gravitational escape/capture of planetary satellites. Astron. J. 88, 1537–1547 (1983)
Murison, M. A. The fractal dynamics of satellite capture in the circular restricted three-body problem. Astron. J. 98, 2346–2359 (1989)
Namouni, F. Secular interactions of coorbiting objects. Icarus 137, 293–314 (1999)
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)
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)
Vieira Neto, E. & Winter, O. C. Time analysis for temporary gravitational capture: satellites of Uranus. Astron. J 122, 440–448 (2001)
Marzani, F. & Scholl, H. Capture of Trojans by a growing proto-Jupiter. Icarus 131, 41–51 (1998)
Henon, M. Numerical exploration of the restricted problem. VI. Hill's case: non-periodic orbits. Astron. Astrophys. 9, 24–36 (1970)
Winter, O. C. & Vieira Neto, E. Time analysis for temporary gravitational capture: stable orbits. Astron. Astrophys. 377, 1119–1127 (2001)
Saha, P. & Tremaine, S. The orbits of the retrograde Jovian satellites. Icarus 106, 549–562 (1993)
Contopolous, G. The “third” integral in the restricted three-body problem. Astrophys. J. 142, 802–804 (1965)
Kozai, Y. Secular perturbations of asteroids with high inclinations and eccentricities. Astron. J. 67, 591–598 (1962)
Goldreich, P., Lithwick, Y. & Sari, R. Formation of Kuiper-belt binaries by dynamical friction and three-body encounters. Nature 420, 643–646 (2002)
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)
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)
Aarseth, S. From NBODY1 to NBODY6: The growth of an industry. Publ. Astron. Soc. Pacif. 111, 1333–1346 (1999)
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)
Lee, E., Brunello, A. F. & Farrelly, D. Coherent states in a Rydberg atom: Classical dynamics. Phys. Rev. A 55, 2203–2221 (1997)
Acknowledgements
This work was supported by the US National Science Foundation, the Royal Society (UK) and the US Office of Naval Research.
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Astakhov, S., Burbanks, A., Wiggins, S. et al. Chaos-assisted capture of irregular moons. Nature 423, 264–267 (2003). https://doi.org/10.1038/nature01622
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DOI: https://doi.org/10.1038/nature01622
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