I'm having a hard time understanding some things regarding the doppler effect. Please excuse my Microsoft paint diagram, I'm no artist.(adsbygoogle = window.adsbygoogle || []).push({});

http://img686.imageshack.us/img686/3949/diagram.jpg [Broken]

http://img686.imageshack.us/img686/3949/diagram.jpg" [Broken]

Given this scenario, which equation/approach would yield the most accurate results:

[A] Special Relativistic Equation for Radial Doppler Shift

or [B] Classic / Newtonian Equation.

I'm under the impression that the primary difference between the special relativistic equation for radial doppler shift and the newtonian equation is the time-dilation term, (please correct me if I'm under the wrong impression). Additionally, does time dilation come into play in this scenario? I'm still having a hard time understanding the exact contexts in which time dilation occurs.

Another reason I ask this question is because of the anomalous doppler observations in pioneer 10 and 11 [ http://renshaw.teleinc.com/papers/pionee2/pionee2.stm ]

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# The doppler effect and time dilation context

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