Physics, asked by Gauravverma11, 1 year ago

orbital velocity of geo stationary satellite

Answers

Answered by rocka
1
If you want just the formula, read on:

Orbital Velocity Formula

Objects that travel in uniform circular motion around the Earth are said to be "in orbit". The velocity of this orbit depends on the distance from the object to the center of the Earth. 

The velocity has to be just right, so that the distance to the center of the Earth is always the same.

The orbital velocity formula contains a constant, G, which is called the "universal gravitational constant". Its value is = 6.673*10^{-11} N∙m2/kg2 .The radius of the Earth is 6.38*10^{6} m.

The formula goes:

Orbital Velocity =  \sqrt{ \frac{(Gravitational Constant ) ( Mass \ of \ Earth) }{Distance\ from \ object \ to \ center \ of \ earth} }


Hence Orbital Velocity v is equal to:

v =  \sqrt{ \frac{GMe}{r} }

v = the orbital velocity of an object (m/s)

G = the universal gravitational constant, G = 6.673x10(-11) N∙m2/kg2

Me = the mass of the Earth (5.98 x 1024 kg)

r = the distance from the object to the center of the Earth

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