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Confusion in Doppler shift equation?

  1. Jan 3, 2016 #1
    I'm just trying to build Doppler shift equation for Moving observer and stationary source. I have an problem in a step. I'm attaching a screen-shot please check it and tell me where to this step ( 1 - v/u)^-1 comes from ?

    Thanks in advance.

    Attached Files:

  2. jcsd
  3. Jan 3, 2016 #2


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    Staff: Mentor

    The previous line is ##\Delta{t}_0=\Delta{t}_s+\frac{v\Delta{t}_0}{u}##. It's just algebra from there.
  4. Jan 3, 2016 #3


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    Science Advisor

    Solve for Δt0 in the first equation at the attached image.
  5. Jan 3, 2016 #4
    Thank you Nugatory for reply. Can you tell me is that delta t sub o will be mentioned as 1 here ? Actually i just really wanna understand algebra behind it.
  6. Jan 3, 2016 #5


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    Staff: Mentor

    I'm sorry, but I don't understand what you mean by "will be mentioned as 1 here".... The algebra is, as Erland says above, just solving for ##\Delta{t}_0##.
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