Io, one of the satellites of Jupiter, has an orbital period of 1.769 days and the radius of the orbit is `4.22 × 10^(8)` m. Show that the mass of Jupiter is about one-thousandth that of the sun.

How will you weigh the sun, that is estimate its mass ? The mean orbital radius of the earth around the sun is 1.5 xx 10^8 km.

The earth rotates around the sun in a circular orbit of radius R. Calculate the orbital speed of rotation of the earth around the sun. Also find the time period of rotation. Take the mass of the earth =m, mass of the sum =M.

Two satellite S_1 and S_2 are orbiting around the earth in circular orbits in the same direction. Time period for the two satellite are 1h and 8h respectively. The radius of the orbit of satellite S_1 "is" 10^4km . If satellite S_1 and S_2 are on the same side of the earth, find the linear and angular speed of S_2 with respect to S_1 .

The mean orbital radius of the earth around the sun is 1.5xx10^8 km . Calculate the mass of the sun if G=6.67xx10^(-11)N*m^2*kg^(-2) .

A small satellite revolves around a planet of average density 10 g*cm^(-3) . The radius of the orbit of the satellite is slightly more than the radius of the planet. Find the time period of rotation of the satellite. G=6.68xx10^(-8) CGS unit.