Q. 30

Expert-verifiedFound in: Page 354

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

An earth satellite moves in a circular orbit at a speed of . What is its orbital period?

The orbital period is

Speed of orbiting =

The centripetal acceleration required for circular motion of satellite is provided by the gravitational force between the satellite and the earth, therefore :

Here, is the mass of earth, is the mass of satellite, G is the gravitational constant, r is the radius of the orbit.

Now solving we get,

Orbital period T is given by according to Kepler's Law :

Therefore, time period =

The orbital period is

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