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Artificial Satellite

The velocity ...

Question

The velocity of a satellite in a parking orbit is?

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Solution

$T h e g r a v i t a t i o n a l f o r c e o f t e h s a t e l l i t e d u e t o e a r t h i s F = \frac{G M m}{r^{2}} s o f o r a s t a b l e p a r k i n g o r b i t w e c a n e q u a t e t h i s t o \frac{m v^{2}}{r} = \frac{G M m}{r^{2}} v = \sqrt{\frac{G M}{r}} i s t h e s p e e d o f t h e s a t e l l i t e f o r a p a r t i c u l a r p a r k i n g o r b i t .$

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