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CATEGORIES:DAMTP Astrophysics Seminars
SUMMARY:A fully self-consistent multi-layered model of Jup
 iter - Dali Kong (Exeter)
DTSTART;TZID=Europe/London:20170220T160000
DTEND;TZID=Europe/London:20170220T170000
UID:TALK71076AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/71076
DESCRIPTION:We construct a three-dimensional\, fully self-cons
 istent\, multi-layered\, non-spheroidal model of J
 upiter consisting of an inner core\, a metallic el
 ectrically conducting dynamo region\, and an outer
  molecular electrically insulating envelope. We as
 sume that the Jovian zonal winds are on cylinders 
 parallel to the rotation axis but\, due to the eff
 ect of magnetic braking\, are confined within the 
 outer molecular envelope. We also assume that the 
 location of the\nmolecular-metallic interface is c
 haracterized by its equatorial radius H*Re\, where
  Re is the equatorial radius of Jupiter at the 1 b
 ar pressure level and H is treated as a parameter 
 of the model. We solve the relevant mathematical p
 roblem via a perturbation approach. The leading-or
 der problem determines the density\, size\, and sh
 ape of the inner core\, the irregular shape of the
  1 bar pressure level\, and 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 determ
 ines the variation of the gravitational field sole
 ly caused by the effect of the zonal winds on the 
 rotationally distorted non-spheroidal Jupiter. The
  leading-order solution produces the known mass\, 
 the known equatorial and polar radii\, and the kno
 wn zonal gravitational coefficient J2 of Jupiter w
 ithin their error bars\; it also yields the coeffi
 cients J4\nand J6 within about 5% accuracy\, the c
 ore equatorial radius 0.09Re and the core density 
 2.0e+004 kg m^{-3} corresponding to 3.73 Earth mas
 ses\; the next-order solution yields the wind-indu
 ced variation of the zonal gravitational coefficie
 nts of Jupiter.
LOCATION:MR14\,  Centre for Mathematical Sciences\, Wilberf
 orce Road\, Cambridge
CONTACT:Jean Teyssandier
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