Homework Help: physics

Posted by cb on Sunday, March 15, 2009 at 2:59am.

i keep trying to put this in my calculator but i keep getting the wrong answer...can someone please try it on their calculator and help me?
thnks

(a) Find the distance r to geosynchronous orbit.
Apply Kepler's third law. T^2=((4pi^2)/(GM_E))r^3
Substitute the period in seconds, T = 86,400 s, the gravity constant G = 6.67 multiplied by 10-11 kg-1 m3/s2, and the mass of the Earth, ME = 5.98 multiplied by 1024 kg. Solve for r.

T^2=((4pi^2)/(GM_E))r^3

physics - drwls, Sunday, March 15, 2009 at 3:14am
What equation are you using? You should be using Kepler's third law, and setting the satellite period to 23 hours 56 minutes (1 sidereal day)

Or check the derivation here:
http://en.wikipedia.org/wiki/Geostationary

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