How Is Work Done by Gravitational Force Calculated in Satellite Orbits?

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SUMMARY

The discussion centers on calculating the work done by gravitational force on a 7655 kg satellite in an elliptical orbit, specifically between the apogee and perigee. The satellite's speeds are 2880 m/s at apogee and 8396 m/s at perigee. To determine the work done by gravity, users must apply the work-energy theorem, which relates the change in kinetic energy to the work done by gravitational forces during the satellite's transition between these two points.

PREREQUISITES
  • Understanding of gravitational force and its effects on satellite motion
  • Familiarity with the work-energy theorem
  • Knowledge of kinetic energy calculations
  • Basic concepts of elliptical orbits
NEXT STEPS
  • Study the work-energy theorem in detail
  • Learn how to calculate gravitational potential energy in orbital mechanics
  • Explore elliptical orbit dynamics and their properties
  • Practice problems involving satellite motion and energy transformations
USEFUL FOR

Students studying physics, particularly those focusing on orbital mechanics, as well as educators and tutors looking for examples of gravitational work calculations in satellite dynamics.

emmah01
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1. Homework Statement

A 7655 kg satellite has an elliptical orbit. The point on the orbit that is farthest from the Earth is called the apogee and is at the far right side of the drawing. The point on the orbit that is closest to the Earth is called the perigee and is at the far left side of the drawing. Suppose that the speed of the satellite is 2880 m/s at the apogee and 8396 m/s at the perigee. Find the work done by the gravitational force when the satellite moves from a) the apogee to the perigee and b) the perigee to the apogee?

2. Homework Equations

No idea...

The Attempt at a Solution



Honestly I don't even have a clue how to start this...anyone who can help, thank you!

Homework Statement


2. Homework Equations
3. The Attempt at a Solution
 
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What is 'work'? Have you heard of the 'word-energy theorem'?
 
emmah01 said:
Honestly I don't even have a clue how to start this...

That being the case I have to ask, why are you even trying it? If it is part of a class you should have SOME idea how to start it.
 

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