Tidal dissipation within large icy satellites: Applications to Europa and Titan

Icarus

Volumn 177, Issue 2, 2005, Pages 534-549

  Tobie, G ^a   Mocquet, A ^a   Sotin, C ^a  

^a UNIVERSITÉ DE NANTES   (France)

Author keywords

Europa; Ice; Large icy satellites; Silicate; Tidal dissipation; Titan; Viscoelasticity

Indexed keywords

EID: 26444565807     PISSN: 00191035     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.icarus.2005.04.006     Document Type: Article

References (62)

1. K. Aki P.G. Richards Quantitative Seismology, Theory and Methods, vol. 2 1980 Freeman San Francisco, CA
2. Z. Alterman H. Jarosch C. Pekeris Oscillations of the Earth Proc. R. Soc. London A 252 1959 80-95
3. J.D. Anderson R.A. Jacobson E.L. Lau W.B. Moore G. Schubert Io's gravity field and interior structure J. Geophys. Res. 106 2001 32963-32970
4. J.D. Anderson E.L. Lau W.L. Sjogren G. Schubert W.B. Moore Gravitational constraints on the internal structure of Ganymede Nature 384 1996 541-543
5. J.D. Anderson G. Schubert R.A. Jacobson E.L. Lau W.B. Moore W.L. Sjogren Europa's differentiated internal structure: Inferences from four Galileo encounters Science 281 1998 2019-2022
6. G. Backus F. Gilbert The resolving power of gross Earth data Geophys. J. R. Astron. Soc. 16 1968 169-205
7. M.A. Biot Theory of stress-strain relations in anisotropic viscoelasticity and relaxation phenomena J. Appl. Phys. 25 1954 1385-1391
8. P. Cassen R.T. Reynolds S.J. Peale Is there liquid water on Europa Geophys. Res. Lett. 6 1979 731-734
9. J. Castillo A. Mocquet C. Sotin Détecter la présence d'un océan dans Europe à partir de mesures altimétriques et gravimétriques C. R. Acad. Sci. 330 2000 659-666
10. G. D'Agostino G. Spada R. Sabadini Postglacial rebound and lateral viscosity variations: A semi-analytical approach based on a spherical model with Maxwell rheology Geophys. J. Int. 129 1997 F9-F13
11. V. Dehant Integration of the gravitational motion equations for an elliptical uniformly rotating Earth with an inelastic mantle Phys. Earth Planet. Int. 49 1987 242-258
12. W.B. Durham L.A. Stern S.H. Kirby Rheology of ice I at low stress and elevated confining pressure J. Geophys. Res. 106 2001 11031-11042
13. P. Duval M. Montagnat Comment on "Superplastic deformation of ice: Experimental observations" by D.L. Goldsby and D.L. Kohlstedt J. Geophys. Res. 107 B4 2002 10.1029/2001JB000946 2082
14. A.M. Dziewonski D.L. Anderson Preliminary reference Earth model Phys. Earth Planet. Int. 25 1981 297-356
15. H.-J. Fischer T. Spohn Thermal-orbital histories of viscoelastic models of Io (J1) Icarus 83 1990 39-65
16. D.L. Goldsby D.L. Kohlstedt Superplastic deformation of ice: Experimental observations J. Geophys. Res. 106 2001 11017-11030
17. D.L. Goldsby D.L. Kohlstedt Reply to comment by P. Duval and M. Montagnat on "Superplastic deformation of ice: Experimental observations" J. Geophys. Res. 107 B11 2002 10.1029/2002JB001842 2313
18. O. Grasset C. Sotin The cooling rate of a liquid shell in Titan's interior Icarus 123 1996 101-112
19. O. Grasset C. Sotin F. Deschamps On the internal structure and dynamics of Titan Planet. Space Sci. 48 2000 617-636
20. R. Greenberg P. Geissler G. Hoppa B.R. Tufts D.D. Durda R. Pappalardo J.W. Head R. Greeley R. Sullivan M.H. Carr Tectonic processes on Europa: Tidal stresses, mechanical response, and visible features Icarus 135 1998 64-78
21. H. Hussmann T. Spohn Thermal-orbital evolution of Io and Europa Icarus 171 2004 391-410
22. H. Hussmann T. Spohn K. Wieczerkowski Thermal equilibrium states of Europa's ice shell: Implications for internal ocean thickness and surface heat flow Icarus 156 2002 143-151
23. G. Jobert Déformation d'une sphère élastique autogravitante In: J. Coulomb G. Jobert (Eds.) Traité de Géophysique interne, 1. Sismologie et pesanteur, vol. I 1973 Masson Paris 171-180
24. W.M. Kaula Tidal dissipation by solid friction and the resulting orbital evolution Rev. Geophys. 2 1964 661-685
25. M.G. Kivelson K.K. Khurana C.T. Russell M. Volwerk R.J. Walker C. Zimmer Galileo magnetometer measurements: A stronger case for a subsurface ocean at Europa Science 289 2000 1340-1343
26. M.G. Kivelson K.K. Khurana M. Volwerk The permanent and inductive magnetic moments of Ganymede Icarus 157 2002 507-522
27. O.L. Kuskov V.A. Kronrod Core sizes and internal structure of Earth's and Jupiter's satellites Icarus 151 2001 204-227
28. P. Lognonné Normal modes and seismograms in an anelastic rotating Earth J. Geophys. Res. 96 1991 20309-20320
29. J.I. Lunine D.J. Stevenson Clathrate and ammonia hydrates at high pressure - Application to the origin of methane on Titan Icarus 70 1987 61-77
30. Z. Martinec Spectral-finite element approach to three-dimensional viscoelastic relaxation in a spherical earth Geophys. J. Int. 142 2000 117-141
31. D.L. Matson T.V. Johnson G.J. Veeder D.L. Blaney A.G. Davies Upper bound on Io's heat flow J. Geophys. Res. 106 2001 33021-33024
32. M. Montagnat P. Duval Rate controlling processes in the creep of polar ice, influence of grain boundary migration associated with recrystallization Earth Planet. Sci. Lett. 183 2000 179-186
33. W.B. Moore Tidal heating and convection in Io J. Geophys. Res. 108 E8 2003 10.1029/2002JE001943 5096
34. W.B. Moore G. Schubert Note: The tidal response of Europa Icarus 147 2000 317-319
35. W.B. Moore G. Schubert The tidal response of Ganymede and Callisto with and without liquid water oceans Icarus 166 2003 223-226
36. F. Nimmo E. Gaidos Strike-slip motion and double ridge formation on Europa J. Geophys. Res. 107 E4 2002 10.1029/2000JE001476 CiteID 5021
37. G.W. Ojakangas D.J. Stevenson Thermal state of an ice shell on Europa Icarus 81 1989 220-241
38. R.T. Pappalardo M.J.S. Belton H.H. Breneman M.H. Carr C.R. Chapman G.C. Collins T. Denk S. Fagents P.E. Geissler B. Giese R. Greeley R. Greenberg J.W. Head P. Helfenstein G. Hoppa S.D. Kadel K.P. Klaasen J.E. Klemaszewski K. Magee A.S. McEven J.M. Moore W.B. Moore G. Neukum C.B. Phillips L. Prokter G. Schubert D.A. Senske R.J. Sullivan B.R. Tufts E.P. Turtle R. Wagner K.K. Williams Does Europa have a subsurface ocean? Evaluation of the geological evidence J. Geophys. Res. 104 1999 24015-24056
39. S.J. Peale P. Cassen R.T. Reynolds Melting of Io by tidal dissipation Science 203 1979 892-894
40. G. Ranalli Rheology of the Earth 1995 Chapman and Hall London, UK p. 413
41. J.A. Rathbun J.R. Spencer L.K. Tamppari T.Z. Martin L. Barnard L.D. Travis Mapping of Io's thermal radiation by the Galileo photopolarimeter-radiometer (PPR) instrument Icarus 169 2004 127-139
42. B. Romanowicz J.J. Durek Seismological constraints on attenuation in the Earth: A review In: S. Karato R.C. Forte A.M. Liebermann G. Masters L. Stixrude (Eds.) Earth's Deep Interior, Mineral Physics and Tomography, from the Atomic to Global Scale AGU Geophys. Monogr. vol. 117 2000 Washington, DC 217-295
43. F. Sanloup F. Guyot P. Gillet G. Fiquet M. Mezouar I. Martinez Density measurements of liquid Fe-S alloys at high pressure Geophys. Res. Lett. 27 2000 811-814
44. M. Segatz T. Spohn M.N. Ross G. Schubert Tidal dissipation, surface heat flow, and figure of viscoelastic models of Io Icarus 75 1988 187-206
45. A.P. Showman R. Malhotra Tidal evolution into the Laplace resonance and the resurfacing of Ganymede Icarus 127 1997 93-111
46. A.P. Showman D.J. Stevenson R. Malhotra Coupled orbital and thermal evolution of Ganymede Icarus 129 1997 367-383
47. F. Sohl H. Hussmann B. Schwenker T. Spohn Interior structure models and tidal Love numbers of Titan J. Geophys. Res. 108 E12 2003 10.1029/ 20031E002044 CiteID 5130
48. F. Sohl W.D. Sears R.D. Lorenz Tidal dissipation on Titan Icarus 115 1995 278-294
49. F. Sohl T. Spohn D. Breuer K. Nagel Implications from Galileo observations on the interior structure and chemistry of the Galilean satellites Icarus 157 2002 104-119
50. C. Sotin O. Grasset S. Beauchesne Thermodynamical properties of high pressure ices: Implications for the dynamics and internal structure of large icy satellites In: B. Schmitt C. De Bergh M. Festou (Eds.) Solar System Ices 1998 Kluwer Academic Dordrecht 79-96
51. C. Sotin G. Tobie Internal structure and dynamics of the large icy satellites C. R. Phys. 5 2004 769-780
52. P.J. Tackley G. Schubert G.A. Glatzmaier P. Schenk J.T. Ratcliff J.-P. Matas Three-dimensional simulations of mantle convection in Io Icarus 149 2001 79-93
53. H. Takeushi M. Saito Seismic surfaces waves In: B.A. Bolt (Ed.) Methods in Computational Physics, vol. 1 1972 Academic Press New York 217-295
54. R.E. Thomson J.R. Delaney Evidence for a weakly stratified Europan ocean sustained by seafloor heat flux J. Geophys. Res. 106 2001 12355-12366
55. G. Tobie G. Choblet C. Sotin Tidally heated convection: Constraints on Europa's ice shell thickness J. Geophys. Res. 108 E11 2003 10.1029/ 2003JE002099 CiteID 5124
56. G. Tobie O. Grasset J. Lunine A. Mocquet C. Sotin Titan's internal structure inferred from a coupled thermal-orbital model Icarus 175 2005 496-502
57. G.J. Veeder D.L. Matson T.V. Johnson D.L. Blaney J.D. Goguen Io's heat flow from infrared radiometry: 1983-1993 J. Geophys. Res. 99 1994 17095-17162
58. J.M. Wahr T. Sasao A diurnal resonance in the ocean tide and in the earth's load response due to the resonant free 'core nutation' Geophys. J. Int. 64 1981 747-765
59. X. Wu Y.E. Bar-Sever W.M. Folkner J.G. Williams J.F. Zumberge Probing Europa's hidden ocean from tidal effects on orbital dynamics Geophys. Res. Lett. 28 2001 2245-2248
60. D.A. Yuen P. Gasperini R. Sabadini E. Boschi Azimuthal dependence in the gravity field induced by recent and past cryospheric forcings Geophys. Res. Lett. 14 1987 812-815
61. C. Zimmer K.K. Khurana M.G. Kivelson Subsurface oceans on Europa and Callisto: Constraints from Galileo magnetometer observations Icarus 147 2000 329-347
62. J. Zschau Tidal friction in the solid earth: Loading tides versus body tides In: P. Brosche J. Sündermann (Eds.) Tidal Friction and the Earth's Rotation 1978 Springer-Verlag New York 62-94