Io, one of the satellites of Jupiter, has an orbital period of 1.769 days and the radius of the orbit is 4.22 × 108 m. Show that the mass of Jupiter is about one-thousandth that of the
Gravitational force = Centripetal Force Rp2GMpMJ=RpMpvp2...............(1) Also, vp=Tp2πRp...............(2) Substituting (2) in (1), MJ=GTP24π2RP3 =1.9×1027 kg MJ/MS=2×10301.9×1027≈10−3
