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Subbing in Orbital Velocity into Kepler's Law of Periods (1 Viewer)

123ryoma12

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When rearranged with Gravitational force = Centripetal force you get
v= √(GM/r)
but when you sub in orbital velocity into kepler's law of periods and you rearrange you get
v= √(GMr)
Can someone point out what I'm doing wrong?
 

InteGrand

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When rearranged with Gravitational force = Centripetal force you get
v= √(GM/r)
but when you sub in orbital velocity into kepler's law of periods and you rearrange you get
v= √(GMr)
Can someone point out what I'm doing wrong?




 

123ryoma12

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Apr 14, 2015
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I found my mistake. I did v = 2(pi)r^2/T instead of 2(pi)r/t
Thanks for that ^_^
 

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