How Does Physics Calculate Satellite Orbit Speed and Escape Energy?

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SUMMARY

The discussion focuses on calculating the orbital speed of a satellite and the minimum energy required to escape Earth's gravitational influence. A satellite with a mass of 6500 kg orbits at a radius of 8.4 million meters, while the Earth's mass is 6.0 x 1024 kg. The Momentum Principle is essential for determining the satellite's speed, while the Energy Principle is necessary for calculating the escape energy. Participants emphasize the importance of showing work and understanding the derivation of equations used in these calculations.

PREREQUISITES
  • Understanding of the Momentum Principle in physics
  • Knowledge of the Energy Principle in physics
  • Familiarity with gravitational force calculations
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of orbital speed equations for circular motion
  • Research the concept of gravitational potential energy and its applications
  • Learn about the calculations involved in escape velocity
  • Explore advanced topics in orbital mechanics and satellite dynamics
USEFUL FOR

Students of physics, aerospace engineers, and anyone interested in satellite dynamics and gravitational calculations will benefit from this discussion.

jamagner
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You will need to use the Momentum Principle to do the first part of this problem, and the Energy Principle to do the second part.

A satellite of mass 6500 kg orbits the Earth in a circular orbit of radius of 8.4 106 m (this is above the Earth's atmosphere).The mass of the Earth is 6.0 1024 kg.

What is the speed of the satellite?

What is the minimum amount of energy required to move the satellite from this orbit to a location very far away from the Earth?
 
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jamagner said:
You will need to use the Momentum Principle to do the first part of this problem, and the Energy Principle to do the second part.

That is to say, you need to use them. The forum rules require you to show the readers here at least what you tried to do to work on the problems.

Are you saying that they want you to derive the orbital speed of the satellite starting from basic principles? Or are you allowed to use certain equations that were derived in your course?
 
The minimun energy.

Could someone please answer the question on how to get the minimun energy that was just asked please, explain in full detail.

Thanks
 

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