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SUMMARY:A fully self-consistent multi-layered model of Jupiter - Dali Kong
  (Exeter)
DTSTART:20170220T160000Z
DTEND:20170220T170000Z
UID:TALK71076@talks.cam.ac.uk
CONTACT:Jean Teyssandier
DESCRIPTION:We construct a three-dimensional\, fully self-consistent\, mul
 ti-layered\, non-spheroidal model of Jupiter consisting of an inner core\,
  a metallic electrically conducting dynamo region\, and an outer molecular
  electrically insulating envelope. We assume that the Jovian zonal winds a
 re on cylinders parallel to the rotation axis but\, due to the effect of m
 agnetic braking\, are confined within the outer molecular envelope. We als
 o assume that the location of the\nmolecular-metallic interface is charact
 erized by its equatorial radius H*Re\, where Re is the equatorial radius o
 f Jupiter at the 1 bar pressure level and H is treated as a parameter of t
 he model. We solve the relevant mathematical problem via a perturbation ap
 proach. The leading-order problem determines the density\, size\, and shap
 e of the inner core\, the irregular shape of the 1 bar pressure level\, an
 d the internal structure of Jupiter that accounts for the\nfull effect of 
 rotational distortion\, but without the influence of the zonal winds\; the
  next-order problem determines the variation of the gravitational field so
 lely caused by the effect of the zonal winds on the rotationally distorted
  non-spheroidal Jupiter. The leading-order solution produces the known mas
 s\, the known equatorial and polar radii\, and the known zonal gravitation
 al coefficient J2 of Jupiter within their error bars\; it also yields the 
 coefficients J4\nand J6 within about 5% accuracy\, the core equatorial rad
 ius 0.09Re and the core density 2.0e+004 kg m^{-3} corresponding to 3.73 E
 arth masses\; the next-order solution yields the wind-induced variation of
  the zonal gravitational coefficients of Jupiter.
LOCATION:MR14\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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