Massive vs. Smaller Satellites: Understanding Orbiting Speeds

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SUMMARY

The discussion clarifies that a more massive communications satellite does not orbit more slowly than a smaller one due to the balance of gravitational force and mass. Both satellites experience the same gravitational acceleration when at the same orbital distance from Earth. The centripetal force required for circular motion is provided by gravity, and according to Kepler's laws, the orbital period is independent of the satellite's mass. Thus, both satellites maintain the same orbital speed when positioned at equal distances from the planet.

PREREQUISITES
  • Understanding of gravitational force and its impact on orbital mechanics
  • Familiarity with centripetal force in circular motion
  • Knowledge of Kepler's laws of planetary motion
  • Basic principles of orbital dynamics
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  • Study the principles of gravitational force and its role in satellite motion
  • Learn about centripetal force and its calculations in orbital mechanics
  • Explore Kepler's laws and their applications in satellite orbits
  • Investigate different types of orbits used by communications satellites
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Aerospace engineers, physics students, and anyone interested in understanding satellite dynamics and orbital mechanics.

rafterman
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Homework Statement


why a more massive communications satellite doesn't orbit more slowly than a smaller one?


Homework Equations





The Attempt at a Solution



The larger satellite will have more mass but it will also have a far greater gravitational force acting on it no matter where it is orbiting. These two will cancel each out. So they will freefall at the same rate providing it is the same distance from the planet.
 
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rafterman said:

Homework Statement


why a more massive communications satellite doesn't orbit more slowly than a smaller one?

Things to think about:
1. What type of orbit does communications satellites orbit the Earth in?
2. What force provides the acceleration for this orbit?
3. This force is the centripetal force, which can be written down for an object in circular motion.
4. Equating these two expressions should tell you the answer to your question.
 
Consider Kepler's law and what role the satellite mass plays in determing the orbital period.
 

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