How Do You Calculate the Orbital Speed and Period of a Satellite?

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SUMMARY

The discussion focuses on calculating the orbital speed and period of the Solar Maximum Mission satellite, which orbits approximately 150 miles above Earth. To determine the orbital speed, the gravitational force acting on the satellite is equated to the centripetal force required for circular motion. The relevant equations involve Newton's laws of motion and the relationship between gravitational force and centripetal force. The solution requires applying these principles to find both the satellite's speed and the time for one complete revolution.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of gravitational force equations
  • Familiarity with centripetal force concepts
  • Basic skills in algebra and physics problem-solving
NEXT STEPS
  • Learn how to derive the formula for orbital speed using gravitational force
  • Study the concept of centripetal acceleration in circular motion
  • Explore the calculation of orbital period using Kepler's laws
  • Investigate the effects of altitude on satellite speed and period
USEFUL FOR

Students in physics or engineering courses, educators teaching orbital mechanics, and anyone interested in satellite dynamics and gravitational physics.

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Homework Statement


the solar maximum mission satellite was placed in a circular orbit about 150 miles above earth. Determine (a) the orbital speed of the satellite and (b) the time required for 1 complete revolution


Homework Equations





The Attempt at a Solution

 
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But you haven't shown an attempt yet! Here's where I would start:

The force of gravity between the satellite and the Earth provides the centripetal force.
Fg = Fc
What should we do from here?
 
try thinking about Newtons laws of motion and applying one of them in particular radially =]
 
am i looking for angular velocity of velocity tangent to its orbit
 

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