If I have a rotating very large merry go round and I placed a light at 12 o'clock and a receptor at 9 o'clock ( 90 degree angle ). The light does not point to the receptor but to the point on the circumference that is directly in between the light and the receptor.
Then I sped up the merry go round to a speed where the receptor would catch up to the point where the light was shown.
Picture this as the outside of the merry go round ( obviously would be on a curve ) :
Point at which light is shone to
Now if the merry go round was rotating at the Speed of light the time that the light would taked to get to LS ... would be the exact time that R would get to LS.
My question is does this light red shift?
The idea is that the source is moving away from the LS where the light would ultimately be detected. However the receptor is moving towards where the light was originall shone to.
The key here is the direction of movement of the light, the direction of movement of the source, and the direction of movement of the receptor.
the light travels at 45 degrees from the source
The receptor travels towards the spot where it is detected following the curve of the circle
The source pulls away following the curve of the circle.
However since the source is pulling away from the light faster than the receptor is moving towards the light right because of the angle of the light and the path that the source is travelling. Is this correct?