How Much Energy Is Needed to Launch a Satellite into Orbit?

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SUMMARY

The energy required to launch a 200 kg satellite into a circular orbit with a radius of 8.0 x 106 m involves calculating both the gravitational potential energy at the Earth's surface and in orbit. The gravitational constant, G, is 6.67 x 10-11 N(m/kg)2. The correct approach requires not only reaching the orbit but also ensuring the satellite remains in that orbit, which necessitates additional energy considerations beyond simple potential energy calculations.

PREREQUISITES
  • Understanding of gravitational potential energy equations, specifically Ep = -GMm/r
  • Familiarity with orbital mechanics and the concept of circular orbits
  • Knowledge of the gravitational constant (G) and its application
  • Basic physics principles related to energy conservation
NEXT STEPS
  • Study the calculations for gravitational potential energy in both surface and orbital contexts
  • Learn about the kinetic energy required for maintaining a satellite in orbit
  • Research the concept of escape velocity and its relevance to satellite launches
  • Explore the role of propulsion systems in achieving and maintaining orbit
USEFUL FOR

Aerospace engineers, physics students, and professionals involved in satellite design and launch operations will benefit from this discussion.

Effective
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Homework Statement



How much energy is required to launch a 200 kg satellite from the surface of the Earth into a circular orbit with radius 8.0 * 10^6 m?

G=6.67*10^-11

Homework Equations



Ep= -GMm/r

The Attempt at a Solution



I calculated the gravitational potential energy of the object on the earth, then I calculated the gravitational potential energy of the object in the circualr orbit and then I subtracted the two and apparently that's not the correct way to tackle the problem.
 
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Welcome to PF!

Effective said:
How much energy is required to launch a 200 kg satellite from the surface of the Earth into a circular orbit with radius 8.0 * 10^6 m?

potential energy of the object on the earth, then I calculated the gravitational potential energy of the object in the circualr orbit and then I subtracted the two and apparently that's not the correct way to tackle the problem.

Hi Effective! Welcome to PF! :smile:

That will only give you enough energy to get it up there …

you need it to stay up also! :biggrin:

:wink: you got to be practical!​
 

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