A $$synchronous$$ satellite, which always remains above the same point on a planet$$s

equator, is put in orbit about a planet similar

to Jupiter.

This planet rotates once every $6\mathrm{.}6$ h$,$ has a

mass of $2\mathrm{.}2\backslash$times $10^27$ kg and a radius of $6\mathrm{.}99\backslash$times

$10^7$ m$.$

Given that G $=6\mathrm{.}67\backslash$times $10^11$ N m$2$

$/$kg$2$

calculate how far above Jupiter$$s SURFACE

the satellite must be$.$

Answer in units of m$.$