Oscillating charge, wave shift

AI Thread Summary
An oscillating charge along the Y axis emits electromagnetic waves that reach an observer on the X axis. When the charge accelerates towards the observer, a blueshift occurs due to the Doppler effect, indicating a change in the frequency of the waves. Any movement of the charge along the X axis, regardless of how small, will indeed affect the wave measured by the observer. This shift is a direct consequence of the charge's velocity relative to the observer. The discussion emphasizes the continuous nature of the Doppler effect in relation to the charge's motion.
Hydr0matic
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Consider a charge oscillating along the Y axis. EM waves are emitted around it and hits an observer further down the X axis. The charge then gains speed along the X axis, moving towards the observer. He notes a blueshift in the measured EM wave, ie the Doppler effect.

My question is... Will any movement of the charge along the X axis, no matter how small, shift the wave measured by the observer?
 
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