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.

The Moon Io orbits jupiter once in 1.769 days. The orbital radius of the Moon Io is 421700 Km. Caculate the mass of jupiter?

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.

Calculate the ratio of the angular momentum of the earth about its axis due to its spinning motion to that about the sun due to its orbital motion. Radius of the earth =6400 km and radius of the orbit of the earth about the sun =1.5xx10^8km.

The planet Mars has two moons, phobos and delmos. (i) phobos has a period 7 hours, 39 minutes and an orbital radius of 9.4 xx 103 km. Calculate the mass of mars. (ii) Assume that earth and mars move in circular orbits around the sun, with the martian orbit being 1.52 times the orbital radius of the earth. What is the length of the martian year in days ?

The moon takes about 27.3 days to revolve around the earth in a nearly circular orbit of radius 3.84xx10^5 km . Calculate the mass of the earth from these data.

A satellite is revolving in a stable orbit of radius r with orbital velocity v_(0) around the earth. The time period of the satellite is T, angular momentum L and its total energy is E. Then which one of the following statement is not correct?