question_answer 4)

One of the satellites of Jupiter, has an orbital period of 1-769 days and the radius of the orbit is Show that mass of Jupiter is about one thousand times that of the sun. (lake 1 year = 365.25 mean solar day).             

Answer:

For a satellite of Jupiter, orbital period,                 Radius of the orbit of satellite,                  Mass of the Jupiter,  is given by      ?.(1)            We know that the orbital period of Earth around the Sun, T = 1 year = 365-25 x 24 x 60 x 60 s ; Orbital radius, r = I A.U. = Mass of the Sun is given by                    ....(2)     Dividing (2) by (1), we get                      Or  which was to be proved-