An artificial satellite is in a circular orbit above the surface of a planet of radius the period of revolution of the satellite around the planet is . what is the average density of the planet?

Explanation:

Complete statement of the question is

An artificial satellite is in a circular orbit d = 310 km above the surface of a planet of radius r = 2050 km. The period of revolution of the satellite around the planet is T = 1.15 hours. What is the average density of the planet?

= radius of the planet = 2050 km = 2.05 x 10⁶ m

= distance of the satellite above the surface of planet = 310 km = 0.310 x 10⁶ m

= radius of the orbit = =

= mass of the planet

= Time period of the planet = 1.15 h = 1.15 x 3600 = 4140 s

Using Kepler's third law

Volume of the planet is given as

Average density of the planet is given as

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