Confusion in Doppler shift equation?

AI Thread Summary
The discussion revolves around building the Doppler shift equation for a moving observer and a stationary source, specifically addressing confusion regarding the term (1 - v/u)^-1. Participants emphasize that the derivation involves algebraic manipulation of the equation Δt₀ = Δtₛ + (vΔt₀/u). Clarification is sought on whether Δt₀ can be treated as 1 in this context. The focus remains on understanding the algebraic steps necessary to solve for Δt₀. Overall, the conversation highlights the importance of grasping the underlying algebra in the Doppler shift equation.
Tim541541
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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.
 

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The previous line is ##\Delta{t}_0=\Delta{t}_s+\frac{v\Delta{t}_0}{u}##. It's just algebra from there.
 
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Solve for Δt0 in the first equation at the attached image.
 
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Nugatory said:
The previous line is ##\Delta{t}_0=\Delta{t}_s+\frac{v\Delta{t}_0}{u}##. It's just algebra from there.
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 want to understand algebra behind it.
 
Tim541541 said:
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 want to understand algebra behind it.
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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