One of the satellites of Jupiter has an orbital ** of 1.769 days and the radius of the orbit is 4.22 × 108m. Show that the mass of Jupiter is about one-thousandth that of the sun.
For the satellite around Jupiter
T10 = 1.769 days
R10 = 4.22 × 108m
For earth around sun
Te = 365.25 days
Re = 1.496 × 1011m
We know that,
M= (\frac {4πR^3}{GT^2})
= 1045.039
= 1000
Thus mass of Sun is about thousand times Mass of Jupiter.
