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Blazing goIITian

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17 Mar 2010 18:08:42 IST

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Physics , Mechanics , Kinematics , Newtons laws CircularMotion , Work Power Energy collisions , Rotation , Gravitation , Simple Harmonic Motion , Fluid Mechanics , Materials Wave Sound , Super Position , units dimensions , com momentum , shm , wave sound

In case of satellite motion as L =mvr =constant , so "v " is proportional to 1/ r , while according to orbital velocity v = (GM/r) , so "v " is proportional to 1 /(r)^1/2 ..it means these results are contradictory or not ? plz clear it ..

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edison

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Joined: 19 Oct 2006

Posts: 7449

31 Jan 2011 21:05:12 IST

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In case of satellite motion

L = mvr = constant

But v itself depends on r and thus should be expressed as

v = wr

where w = angular velocity (which is independent of r)

Thus L = mw^2 r

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