Rotating Frames of Reference

  • Thread starter eep
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eep

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Hi,
I've run into a relativistic kinematics question that I'm not sure how to approach. The question states:

"A source and a detector are spaced a certain angle [itex]\phi[/itex] apart on the edge of a rotating disk. The source emits radiation at frequency [itex]\omega[/itex] in it's instantaneous rest frame. What frequency is the radiation detected at? Hint: Little information is given because little is needed."

I have no idea how to approach this. Since the detector and source are on a rotating disk, they are not connected by inertial frames. I want to say that their instantaneous rest frames are somhow connected, that is, the relative velocities of the frames are always the same. But where do I even begin? I thought perhaps I could work out where the detector would receive a photon emmited by the source, and maybe do a lorentz boost from the instantaneous rest frame of the source to a frame where both detector appear to be moving on the edge of the disk, then do a boost from that frame to the frame of the detector using the velocity of the detector at the time it would be received, but that seems complicated... what am I missing here?
 

George Jones

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Can you get hold of the book Gravitation by Misner, Thorne, and Wheeler? The solution to this problem is given in section 2.8 The Centrifuge and the Photon.
 

eep

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Thanks - picked the book up today, that thing weighs a ton!
 

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