Doppler shift source velocity components

AI Thread Summary
A source moving perpendicular to the line of sight between it and an observer does not produce a Doppler effect because its radial velocity relative to the observer is zero. This means that while the distance between the source and observer may change, there is no component of motion directly towards or away from the observer to affect the frequency of the waves. The discussion highlights the importance of understanding motion components in relation to the Doppler effect. It emphasizes that only the radial velocity influences the observed frequency shift. The inquiry ultimately seeks clarity on how to apply the Doppler effect equations when the motion is not linear.
undividable
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Homework Statement


Why does a source moving perpendicular to the line between it and the observer produce no doppler effect?

Homework Equations


source-and-observer-towards-each-other.png


The Attempt at a Solution


I have heard the the radial velocity of the source relative to the observer must be zero but i don't understand why, if the distance between the source and the observer is increasing or decreasing , shouldn't there be a doppler effect since the wave length is changing?
 
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undividable said:

Homework Statement


Why does a source moving perpendicular to the line between it and the observer produce no doppler effect?

Have you tried to figure out what sort of motion that represents?
 
Try to think of a type of motion, where one object is stationary, and the other object is always moving, yet does not get any closer or farther from the fixed point.
 
i guess my real question is, how does the doppler effect work when the observer and source are not moving in a straight line, what do we take in as the velocity of the observer and the source in the doppler effect equation?
 
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