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Value of Cylotron frequency?

by arunashish
Tags: cylotron, frequency
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Apr26-12, 11:20 AM
P: 2
Can anyone tell me the value of cyclotron frequency with full mathematical proof and explanation?
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Apr26-12, 11:47 AM
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PF Gold
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Honestly, the Wikipedia article does a satisfactory job of doing so.
Bob S
Apr26-12, 01:49 PM
P: 4,663
Two things the above formula for proton cyclotron resonance misses:

1) At higher proton energies, the mass in the denominator of the equation becomes relativistic, causing the resonance frequency to drop.

2) For vertical orbit stability, the vertical B field Bz(r) must decrease as a function of r (radius) of orbit.

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