We know that the centripetal Force of the satellite is equal the Gravitational Force due to The Jupiter.
mV^2/r =GMm/r^2
M=V^2.r/G. ...1
M is mass of the Jupiter.
Here V=2r/T put V in equation 1
M=(2r)^2r/T^2G
M=4^2r^3/T^2G. ..2
Here r=4.22×10^8 m , T =1.77days =152928 s G=6.674×10^(-11) N.m^2/kg^2
Put these values in equation 2
M=4^2(4.22×10^8)^3/(152928)^2×6.674×10^(-11)
M=1.90080×10^(-8)×10^35
M=1.90×10^27 kg
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