Shapes of two-layer models of rotating planets

Journal of Geophysical Research: Planets

Volumn 115, Issue 12, 2010, Pages

  Kong, D ^a   Zhang, K ^a   Schubert, G ^b  

^a UNIVERSITY OF EXETER   (United Kingdom)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORE (PLANETARY); MANTLE; PLANET; PLANETARY ROTATION; PLANETARY SURFACE; SHAPE ANALYSIS;

EID: 78650021231     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/2010JE003720     Document Type: Article

References (26)

1. Ansong, M., A. Kleinwächter, and M. Reinhard (2003), Uniformly rotating axisymmetric fluid configurations bifurcating from highly flattened Maclaurin spheroids, Mon. Not. R. Astron. Soc., 339, 515-523, doi:10.1046/j.1365-8711.2003.06190.x. (Pubitemid 37268635)
2. Bardeen, J. M. (1971), A reexamination of the post-newtonian Maclaurin spheroids, Astrophys. J., 167, 425-446.
3. Bullard, E. C. (1949), The magnetic field within the Earth, Proc. R. Soc. London, Ser. A, 197, 433-453.
4. Busse, F. H. (1968), Steady fluid flow in a precessing spheroidal shell, J. Fluid Mech., 33, 739-751, doi:10.1017/S0022112068001655.
5. Chandrasekhar, S. (1969), Ellipsoidal Figures of Equilibrium, Yale Univ. Press, New Haven, Conn.
6. Gwinn, C. R., T. A. Herring, and I. I. Shapiro (1986), Geodesy by radio interferometry: Studies of the forced nutations of the Earth: 2. Interpretation, J. Geophys. Res., 91, 4755-4765.
7. Helled, R., G. Schubert, and J. D. Anderson (2009), Jupiter and Saturn rotation periods, Planet. Space Sci., 57, 1467-1473, doi:10.1016/j.pss.2009.07. 008.
8. Jacobson, R. A., et al. (2006), The gravity field of the Saturnian system from satellite observations and spacecraft tracking data, Astron. J., 132, 2520-2526, doi:10.1086/508812.
9. Kerswell, R. R. (1996), Upper bounds on the energy dissipation in turbulent precession, J. Fluid Mech., 321, 335-370, doi:10.1017/ S0022112096007756.
10. Lamb, H. (1932), Hydrodynamics, Cambridge Univ. Press, Cambridge, U. K.
11. Lindal, G. F., et al. (1981), The atmosphere of Jupiter: An analysis of the Voyager radio occultation measurements, J. Geophys. Res., 86, 8721-8727, doi:10.1029/JA086iA10p08721.
12. Lindal, G. F., D. N. Sweetnam, and V. R. Eshleman (1985), The atmosphere of Saturn: An analysis of the Voyager radio occultation measurements, Astron. J., 90, 1136-1146, doi:10.1086/113820.
13. Lorenzani, S., and A. Tilgner (2001), Fluid instabilities in precessing spheroidal cavities, J. Fluid Mech., 447, 111-128, doi:10.1017/ S002211200100581X. (Pubitemid 33066541)
14. Malkus, W. V. R. (1968), Precession of the Earth as the cause of geomagnetism, Science, 160, 259-264.
15. Mathews, P. M., B. A. Buffett, T. A. Herring, and I. I. Shapiro (1991), Forced nutations of the Earth: Influence of inner core dynamics: 2. Numerical results and comparisons, J. Geophys. Res., 96, 8243-8257.
16. Morelli, A., and A. M. Dziewonski (1987), Topography of the coremantle boundary and lateral homogeneity of the liquid core, Nature, 325, 678-683.
17. Noir, J. D. J., and P. Cardin (2001), Numerical study of the motions within a slowly precessing sphere at low Ekman number, J. Fluid Mech., 437, 283-299, doi:10.1017/S0022112001004311. (Pubitemid 32596305)
18. Noir, J. P. C, D. Jault, and J.-P. Masson (2003), Experimental evidence of non-linear resonance effects between retrograde precession and the tilt-over mode within a spheroid, Geophys. J. Int., 154, 407-416.
19. Roberts, P. H., and K. Stewartson (1965), On the motion of a liquid in a spheroidal cavity of a precessing rigid body. II, Proc. Cambridge Philos. Soc, 61, 279-288, doi:10.1017/S0305004100038, 858.
20. Tilgner, A. (2005), Precession driven dynamos, Phys. Fluids, 17, 034104-1-034104-6, doi:10.1063/1.1852576. (Pubitemid 40426396)
21. Tilgner, A. (2007), Rotational dynamics of the core, in Treatise on Geophysics, vol. 8, edited by G. Schubert, pp. 207-243, doi:10.1016/B978- 044452748-6.00129-2, Elsevier, Amsterdam.
22. Vanyo, J., P. Wilde, P. Cardin, and P. Olson (2007), Experiments on precessing flows in the Earth's liquid core, Geophys. J. Int., 121, 136-142, doi:10.1111/j.1365-246X.1995.tb03516.x.
23. Williams, J., D. Boggs, C. Yoder, J. Ratcliff, and J. Dickey (2001), Lunar rotational dissipation in solid body and molten core, J. Geophys. Res., 106, 27, 933-27, 968, doi:10.1029/2000JE001396.
24. Wu, C. C, and P. H. Roberts (2009), On a dynamo driven by topographic precession, Geophys. Astrophys. Fluid Dyn., 103, 467-501, doi:10.1080/ 03091920903311788.
25. Zhang, K., X. Liao, and P. Earnshaw (2004), On inertial waves and oscillations in a rapidly rotating spheroid, J. Fluid Mech., 504, 1-40, doi:10.1017/S0022112003007456. (Pubitemid 38554621)
26. Zharkov, V. N., V. V. Leontjev, and A. V. Kozenko (1985), Models, figures, and gravitational moments of the Galilean satellites of Jupiter and icy satellites of Saturn, Icarus, 61, 92-100, doi:0.1016/0019-1035 (85) 90157-5.