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2D Doppler Shift / Relative Velocities

  1. Mar 18, 2013 #1

    I'm trying to adapt the doppler shift formula for a stationary listener and a source traveling in a straight line towards/away from the listener to the case where the source does not move straight towards the listener. For example, suppose that I am looking north and train further in the distance moves from west to east.

    The frequency factor in the 1D case is [itex]\frac{v}{v - 333m/s}[/itex]. The only thing that changes in the 2D case is that we can't no longer use the absolute velocity v of the source, but have to use the relative velocity with respect to the listener. But this is where I'm stuck: How do I compute this relative velocity when the listener is stationary? Wouldn't that mean that v[itex]_{rel}[/itex] = v[itex]_{abs}[/itex] - 0 = v[itex]_{abs}[/itex]? That obviously can't be true.

  2. jcsd
  3. Mar 19, 2013 #2


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