Geosynchronous Orbit

  • Thread starter Shaunzio
  • Start date
  • #1
16
0

Homework Statement


A satellite is in a circular, geosynchronous orbit (makes one revolution around Earth in 24 hours). Calculate the distance in meters from the satellite to the earth's center. Mass of earth = 5.97 x 1024 kg



Homework Equations


T=((2*Pi)*r^(3/2))/sqrt(GM)


The Attempt at a Solution



I thought T equals the period 2Pi. So the the 2Pi's cancel and then you just plug in the variables. Unfortunately I'm not getting the right answer which is supposed to be: 4.2*10^7.

Any help would be greatly appreciated.
 

Answers and Replies

  • #2
gneill
Mentor
20,925
2,866
Check to see what units the formula will produce.
 
  • #3
16
0
Would the units for T be radians?
 
  • #4
gneill
Mentor
20,925
2,866
Would the units for T be radians?
You're guessing? Why don't you expand the units from the formula and actually see what it is?
 

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