A satellite is revolving around the earth in a circular orbit of radius 8000 km. With what speed the satellite be projected in the orbital? what will be its period of revolution (G = 9.8ms^-2 M), (radius of earth 6400 km).
Asked by namratasingh1383
13th October 2023,
3:43 PM
Answered by Expert
Answer:
When a satellite is revolving around earth in circular orbit, gravitational force of attraction acts
as centripetal force required for circular motion.
Hence we can equate the centripetal force to gravitational force to get velocity of satellite in the orbit.
where m is mass of satellite , v is its speed in orbit , R is radius of orbit , G is universal gravitational constant
and M is mass of earth .
From above expression , we get
...................... (1)Acceleration due to gravity g on earth surface is given as
................................(2)where RE = 6400 km is radius of earth .
Using eqn.(1) and (2) , we get the following expression for velocity v of Satellite .
Orbital period T is
Answered by Expert
13th October 2023,
8:20 PM
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