Doppler Effect: Source vs Detector Motion

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When a source and detector move towards each other, both their motions affect the Doppler effect, as captured in the general Doppler equation. The equation f_apparent=f_actual(v±v_object)/(v±v_source) incorporates the speeds of both the source and the detector. The key factor is the relative motion between the source and the observer. If the detector approaches a stationary source, the frequency change is equivalent to a stationary detector observing a moving source. Introducing wind would primarily alter the actual frequency emitted, impacting the perceived frequency.
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If a source and detector are moving towards one another, for the general doppler equation, would this be considered the source moving or the detector moving?
 
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Both. The equation I use is
f_{apparent}=f_{actual}\frac{v\pm\vec{v}_{object}}{v\pm\vec{v}_{source}}
where v is the speed of sound. It accounts for the movement of both the source and the detector (object). Remember that what matters is the movement of the source relative to the observer/detector. If the detector is moving towards a stationary source, the effect on the frequency of the sound emitted is the same as if the source were moving towards a stationary detector at the same speed.
 
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Now if there is wind involved, would only f(actual) change?
 
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