The orbital speed of satellite orbiting around the Earth is:
Correct answer: B. √GMe/Re
- A. √GM/Re
- B. √GMe/Re
- C. √GMe/R²
- D. √GMe/h
Explanation
The correct formula to calculate the orbital speed (v) of a satellite orbiting the Earth is: v = √(GMe/r) where G is the gravitational constant, Me is the mass of the Earth, and r is the distance between the center of the Earth and the satellite. To derive this formula, we can start with the centripetal force equation F = m v² / r G (Me * m) / r² = m v² / r Solving for v, we get: v = √(GMe/r)
This question appeared on the ETEA MDCAT 2009 paper, which you can sit online with every answer explained.
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About Satellite Motion and Orbital Velocity
Satellite motion uses gravitational force as the centripetal force required for circular orbit, giving relationships among orbital radius, period and orbital velocity. Questions cover geostationary conditions and weightlessness, while distinguishing orbital velocity, escape velocity and the satellite's tangential speed.
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