The Origin of Planetary Magnetic Fields e O g o a eta y ag et c e ds Hao Cao Department of Earth and Space Sciences, University of California, Los Angeles Prof. Christopher T. Russell: A Celebration of a Life in Science May‐8th‐2013 Not Every Planet Has a Magnetic Field y g May‐8‐2013 Mercury Venus Earth Mars J it Jupiter S t Saturn U Uranus N t Neptune 2 Here are the Questions Here are the Questions • Why some planets have magnetic fields? Why some planets have magnetic fields? • How strong are the magnetic fields inside planets? g g p • What determines the strength of the magnetic field? g g • The magnetic puzzles of Mercury … May‐8‐2013 3 Having Magnetic Fields is Non‐trivial Having Magnetic Fields is Non trivial May‐8‐2013 4 Not Every Flow Can Generate Magnetic Fields Not Every Flow Can Generate Magnetic Fields [P k 1970] [Parker 1970] May‐8‐2013 5 Realization of Dynamos Inside Planets Realization of Dynamos Inside Planets • Large region of conducting fluids must g g g be present ‐ liquid iron core for terrestrial planets ‐ metallic hydrogen for gas giants metallic hydrogen for gas giants ‐ ionic ocean for ice giants • Enough energy must be available to drive fast and complex flows thermal‐chemical chemical convection convection ‐ thermal ‐ mechanically driven (e.g. impact, precession, libration) May‐8‐2013 Metallic Hydrogen 6 How Strong are the Magnetic Fields inside Planets? g g May‐8‐2013 7 MHD Waves in the Earth’ss Core MHD Waves in the Earth Core Torsional Oscillation (Alfven wave) ( ) [Braginsky 1970] May‐8‐2013 8 MHD Waves in the Earth’ss Core MHD Waves in the Earth Core May‐8‐2013 9 MHD Waves in the Earth’ss Core MHD Waves in the Earth Core May‐8‐2013 10 What Determines the Magnetic Field Strength? g g • Force balance: flow will keep amplifying the magnetic field until Lorentz force becomes strong enough to act back on the l f b h b k h flow • Energy balance: Ohmic dissipation becomes comparable to available power il bl [Christenseen 2010] May‐8‐2013 11 The Magnetic Field Strength of Mercury and Saturn g g y [Christensen 2010] [Christensen 2010] May‐8‐2013 12 The Magnetic Geometry of Mercury The Magnetic Geometry of Mercury [Anderson + 2011] [Johnson + 2012] May‐8‐2013 13 Here is the Essence of Our Solution Here is the Essence of Our Solution May‐8‐2013 14 Here is One Realization of Our Solution Here is One Realization of Our Solution May‐8‐2013 15 Summary & Discussion Summary & Discussion • The general principal of dynamo process is EM induction • For planets to have dynamos, conducting fluids and enough energy are needed • Except for Jupiter, magnetic fields of planets have only Except for Jupiter, magnetic fields of planets have only been measured in‐situ • The magnetic field strength inside the dynamo region can only be probed indirectly only be probed indirectly • The strong north‐south asymmetry observed for Mercury’s magnetic field can be reconciled with symmetric thermal boundary condition boundary condition • The essence is that flows with similar heat transfer efficiency can differ in their ability to generate magnetic fields May‐8‐2013 16 “Measure what is measurable, and make measurable what is not so.” ‐ Galileo Galilei Galileo Galilei May‐8‐2013 17