derive formula for orbital velocity of satellite
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The orbital speed can be found using v = SQRT(G*M/R). The R value (radius of orbit) is the earth's radius plus the height above the earth - in this case, 6.59 x 106 m.
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The expression for orbital velocity is √g( R+h) = √gr.
Orbital velocity is the velocity needed to balance the pull of gravity on the satellite with the inertia of the motion of the satellite, the tendency of the satellite to continue.
The orbital speed can be found using v = SQRT(G*M/R). The R value (radius of orbit) is the earth's radius plus the height above the earth - in this case, 6.77 x 106 m. Substituting and solving yields a speed of 7676 m/s.
The orbital velocity equation is given by:
⇒v=√GMr.
⇒Fg=GMmr2.
⇒Fc=mv2r.
⇒mv2r.
⇒GMr=v2.
⇒v=±√GMr.
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