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Synchronous communication satellites are placed in a circular orbit that is 1.88 × 108 m above...

Synchronous communication satellites are placed in a circular orbit that is 1.88 × 108 m above the surface of the earth. What is the magnitude of the acceleration due to gravity at this distance?

Solutions

Expert Solution

According to the universal law of gravitation for an object placed at height h

where

  • F = force between two bodies,
  • G = universal gravitational constant (6.67×10-11 Nm2/kg2)
  • m = mass of the object,
  • M = mass of the earth(5.972×1024m),
  • R= radius of the earth(6.378×106m),
  • h = distance of satellite from surface of earth (1.88×108m)
  • g = acceleration due to gravity  

  

This is the magnitude of accelration due to gravity at a distance 1.88×108 m above surface of earth.

genius_generous answered 2 years ago
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