Size and compositional constraints of Ganymede's metallic core for driving an active dynamo

Abstract Ganymede has an intrinsic magnetic field which is generally considered to originate from a self-excited dynamo in the metallic core. Driving of the dynamo depends critically on the satellite's thermal state and internal structure. However, the inferred structure based on gravity data alone has a large uncertainty, and this makes the possibility of dynamo activity unclear; variations in core size and composition significantly change the heat capacity and alter the cooling history of the core. The main objectives of this study is to explore the structural conditions for a currently active dynamo in Ganymede using numerical simulations of the thermal history, and to evaluate under which conditions Ganymede can maintain the dynamo activity at present. We have investigated the satellite's thermal history using various core sizes and compositions satisfying the mean density and moment of inertia of Ganymede, and evaluate the temperature and heat flux at the core–mantle boundary (CMB). Based on the following two conditions, we evaluate the possibility of dynamo activity, thereby reducing the uncertainty of the previously inferred interior structure. The first condition is that the temperature at the CMB must exceed the melting point of a metallic core, and the second is that the heat flux through the CMB must exceed the adiabatic temperature gradient. The mantle temperature starts to increase because of the decay of long-lived radiogenic elements in the rocky mantle. After a few Gyr, radiogenic elements are exhausted and temperature starts to decrease. As the rocky mantle cools, the heat flux at the CMB steadily increases. If the temperature and heat flux at the CMB satisfy these conditions simultaneously, we consider the case as capable of driving a dynamo. Finally, we identify the Dynamo Regime, which is the specific range of internal structures capable of driving the dynamo, based on the results of simulations with various structures. If Ganymede's self-sustained magnetic field were maintained by thermal convection, the satellite's metallic core would be relatively large and, in comparison to other terrestrial-type planetary cores, strongly enriched in sulfur. The dynamo activity and the generation of the magnetic field of Ganymede should start from a much later stage, possibly close to the present.

[1]  S. Sasaki,et al.  Metal‐silicate fractionation in the growing Earth: Energy source for the terrestrial magma ocean , 1986 .

[2]  Y. Fei,et al.  Structure type and bulk modulus of Fe3S, a new iron-sulfur compound , 2000 .

[3]  Y. Fei,et al.  High-Pressure Iron-Sulfur Compound, Fe3S2, and Melting Relations in the Fe-FeS System , 1997, Science.

[4]  C. T. Russell,et al.  Induced magnetic fields as evidence for subsurface oceans in Europa and Callisto , 1998, Nature.

[5]  M. Kivelson,et al.  The Permanent and Inductive Magnetic Moments of Ganymede , 2002 .

[6]  A. Woods,et al.  On the thermal evolution of the Earth's core , 1996 .

[7]  Doris Breuer,et al.  Implications from Galileo Observations on the Interior Structure and Chemistry of the Galilean Satellites , 2002 .

[8]  H. Senshu,et al.  Thermal evolution of a growing Mars , 2002 .

[9]  F. Nimmo Why does Venus lack a magnetic field , 2002 .

[10]  J. Anderson,et al.  The magnetic field and internal structure of Ganymede , 1996, Nature.

[11]  M. Kameyama,et al.  Transitions in thermal convection with strongly temperature-dependent viscosity in a wide box , 2000 .

[12]  Steven Peter Joy,et al.  The magnetic field and magnetosphere of Ganymede , 1997 .

[13]  Louis Moresi,et al.  Heat transport efficiency for stagnant lid convection with dislocation viscosity: Application to Mars and Venus , 1998 .

[14]  David Morrison,et al.  Satellites of Jupiter , 1982 .

[15]  Timothy Edward Dowling,et al.  Jupiter : the planet, satellites, and magnetosphere , 2004 .

[16]  J. D. Anderson,et al.  Gravitational constraints on the internal structure of Ganymede , 1996, Nature.

[17]  R. Steiger,et al.  Subcommission on geochronology: Convention on the use of decay constants in geo- and cosmochronology , 1977 .

[18]  H. Mao,et al.  Structure and Density of FeS at High Pressure and High Temperature and the Internal Structure of Mars , 1995, Science.

[19]  Louis Moresi,et al.  Scaling of time‐dependent stagnant lid convection: Application to small‐scale convection on Earth and other terrestrial planets , 2000 .

[20]  G. Tobie,et al.  The production of Ganymede's magnetic field , 2008 .

[21]  G. Schubert,et al.  Interior composition, structure and dynamics of the Galilean satellites , 2004 .

[22]  David L. Goldsby,et al.  Superplastic deformation of ice: Experimental observations , 2001 .

[23]  G. Schubert,et al.  Magnetoconvection dynamos and the magnetic fields of Io and Ganymede , 1997 .

[24]  D. J. Southwood,et al.  Discovery of Ganymede's magnetic field by the Galileo spacecraft , 1996, Nature.

[25]  J. Bloxham,et al.  Energetics of numerical geodynamo models , 2002 .

[26]  Randolph L. Kirk,et al.  Thermal evolution of a differentiated Ganymede and implications for surface features , 1987 .

[27]  David J. Stevenson,et al.  Coupled Orbital and Thermal Evolution of Ganymede , 1997 .

[28]  D. Stevenson Planetary magnetic fields , 2003 .

[29]  V. Solomatov,et al.  Scaling of temperature‐ and stress‐dependent viscosity convection , 1995 .

[30]  R. Boehler Melting of the FeFeO and the FeFeS systems at high pressure: Constraints on core temperatures , 1992 .

[31]  Richard J. Greenberg,et al.  Orbital evolution of the Galilean satellites , 1981 .

[32]  G. Schubert,et al.  Magnetism and thermal evolution of the terrestrial planets , 1983 .

[33]  Christopher T. Russell,et al.  Europa and Callisto: Induced or intrinsic fields in a periodically varying plasma environment , 1999 .

[34]  T. Matsui,et al.  Formation of a hot proto‐atmosphere on the accreting giant icy satellite: Implications for the origin and evolution of Titan, Ganymede, and Callisto , 1994 .

[35]  Tilman Spohn,et al.  Oceans in the icy Galilean satellites of Jupiter , 2002 .

[36]  Jianzhong Zhang,et al.  Melting experiments on anhydrous peridotite KLB‐1 from 5.0 to 22.5 GPa , 1994 .

[37]  C. Russell,et al.  Galileo magnetometer measurements: a stronger case for a subsurface ocean at Europa. , 2000, Science.

[38]  A Primordial Origin of the Laplace Relation Among the Galilean Satellites , 2002, Science.

[39]  F. Bagenal,et al.  Remanent ferromagnetism and the interior structure of Ganymede , 1998 .

[40]  C. de Bergh,et al.  Solar system ices , 1998 .

[41]  S. Hauck,,et al.  Sulfur's impact on core evolution and magnetic field generation on Ganymede , 2005 .

[42]  Jean-Paul Poirier,et al.  The age of the inner core , 2001 .

[43]  B. Buffett The Thermal State of Earth's Core , 2003, Science.

[44]  C. Sotin,et al.  Thermodynamic Properties of High Pressure Ices: Implications for the Dynamics and Internal Structure of Large Icy Satellites , 1998 .

[45]  D. Kohlstedt,et al.  Metal‐silicate segregation in deforming dunitic rocks , 2003 .

[46]  F. Nimmo,et al.  Thermal evolution of the Martian core: Implications for an early dynamo , 2004 .

[47]  R. Jeanloz,et al.  Evolution of the Earth and Planets: Takahashi/Evolution of the Earth and Planets , 1993 .

[48]  B. Mason Handbook of elemental abundances in meteorites , 1971 .

[49]  M. Gillan,et al.  Gross thermodynamics of two-component core convection , 2004 .

[50]  M. Paterson,et al.  Rheology of synthetic olivine aggregates: Influence of grain size and water , 1986 .