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What is the station's orbital speed? The radius of Earth is 6.37×106m, its mass is 5.98×10^24kg.

 Jan 12, 2017

Best Answer 

 #2
avatar+33653 
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Orbit altitude, yes; station mass, no.

 

mv2/r = GMm/r2

 

m = station mass, cancels out.  M = mass of Earth.  r = centre of earth to station. G = gravitational constant.

 

Or, if you assume the station height is negligible compared with the radius of the Earth, then you could use:

 

v2/r = g   (where g = 9.81 m/s2 and r is now just the radius of the Earth).

 Jan 12, 2017
 #1
avatar+37095 
+5

I think we will need the mass of 'the station'  and orbit altitude to answer this question....

 Jan 12, 2017
 #2
avatar+33653 
+5
Best Answer

Orbit altitude, yes; station mass, no.

 

mv2/r = GMm/r2

 

m = station mass, cancels out.  M = mass of Earth.  r = centre of earth to station. G = gravitational constant.

 

Or, if you assume the station height is negligible compared with the radius of the Earth, then you could use:

 

v2/r = g   (where g = 9.81 m/s2 and r is now just the radius of the Earth).

Alan  Jan 12, 2017
 #3
avatar+37095 
+5

Which makes sense ...explains how multiple sattellites of different masses can all be placed in 'stationary' orbits above the eqauator and do not crash into each other....

ElectricPavlov  Jan 12, 2017

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