Satellite Orbiting Earth Energy

  • Thread starter blackheart
  • Start date
  • #1
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1. A 962kg satellite orbits the Earth at a constant altitude of 99km. How much energy must be added to the system to move the satellite into a circular orbit with altitude 195km?

2. Homework Equations :

E = (-GMm)/2r
[tex]\Delta E[/tex] = Ef - Ei

3. My work (which produced the wrong answer)...

Ei = (-GMEms)/(2(rE + 99000m))

Ef = (-GMEms)/(2r(E + 195000m))

[tex]\Delta E[/tex] = ((-GMEms)/2)((1/rf)-(1/ri)

The answer needs to be in MJ. I got 858MJ which is incorrect.
 
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Answers and Replies

  • #2
Delphi51
Homework Helper
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Hi blackheart. The method looks good. I got about half your answer.
Did you get 2.26 x 10^-9 for the difference between the 1/r terms?
 
  • #3
10
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Oh! I didn't divide by two... I have it now. Thanks a bunch.
 
  • #4
Delphi51
Homework Helper
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Most welcome.
 

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