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Calculating energy of a geosynchronous satellite

  • Thread starter mikee
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  • #1
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Homework Statement



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hey i was just wondering if i was on the right track here, the question is calculate the total energy(E) of a geosynchronous satelite (that orbits around a fixed spot) with a mass of 1500kg orbiting earth at a height of 325km with an orbital speed of 5000 m/s,

Homework Equations



ok i was taught that Total E = Kinetic E + Potential E, and also that Kinetic E= 1/2mV^2 and Potential E= mgH

The Attempt at a Solution


ok i took into account that gravity would not be 9.8 so
i calculated what it would be Using Fg=Gm1m2/d^2 and i came up with 1.32x10^4,also note that to calculate distace i added 325km to the radius of the earth, then i plugged
in 1/2(1500)(5000)^2 + 1.32x10^4(1500)325000 = Total E, does this seem correct? thanks
 

Answers and Replies

  • #2
mgb_phys
Science Advisor
Homework Helper
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Remember energy is force * distance and so gravitatonal potential energy = GMm/r
 
  • #3
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There is a problem with the question. Geosynchronous satellites do not orbit at 325 Km height. And a satellite at 325km with an orbital speed of 5000m/s will fall back to earth.
 

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