A new scaling law of the planetary magnetic fields

Physics

Scientific paper

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Magnetic Flux, Planetary Magnetic Fields, Scaling Laws, Dipole Moments, Dynamo Theory, Neptune (Planet), Poloidal Flux, Uranus (Planet), Voyager 2 Spacecraft

Scientific paper

A new scaling law for the planetry magnetic field strengths is obtained assuming the magnetostrophic balance. The velocity of the convection current v(c) in a planetary core is estimated by the geometric mean of the possible maximum and minimum values to be v(c) = c(sq root Omega/4 pi mu sigma), where Omega is angular velocity of the core rotation, sigma the electric conductivity, c speed of light, and mu the magnetic permeability. Overall agreement of the prediction by the present new scaling law with the data on magnetic field strengths of various planets is superior to those by previously proposed scaling laws. The present scaling law is also found to predict well the Neptune's magnetic field recently determined by the Voyager 2 observation. Success of the present scaling law on the planetary magnetic field strength suggests that the magnetostrophic balance may be a good approximation for planetary dynamo and that toroidal magnetic field is dominant over the poloidal field in the core.

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