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CATEGORIES:DAMTP Astro Mondays
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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