One of the moons of jupiter, named io, has an orbital radius of 4.22 ✕ 108 m and a period of 1.77 days. assuming the orbit is circular, calculate the mass of jupiter.

M_J = 1.875 x 10²⁷ Kg

Explanation:

given,

orbital radius of the moon of Jupiter(r) = 4.22 ✕ 10⁸ m

Period of the moon(T) = 1.77 days

                                = 1.77 x 24 x 60 x 60

                                = 152928 s

using Kepler's formula top calculate mass of the Jupiter

where M_J is the mass of the Jupiter

     and G is gravitational constant

M_J = 1875.028 x 10²⁴

M_J = 1.875 x 10²⁷ Kg

Mass of Jupiter is equal to M_J = 1.875 x 10²⁷ Kg

true

explanation:

the moon affects the earth gravitation ally, causing certain motions of that body and also producing tides in its ocean and atmosphere. the tidal wave in our atmosphere is, however, far too minute to be an effective cause in any known meteorological phenomenon.

explanation: