Confusion in Doppler shift equation?

[Tim541541]

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.

 

[Nugatory]

The previous line is $\Delta{t}_0=\Delta{t}_s+\frac{v\Delta{t}_0}{u}$. It's just algebra from there.

 

[Erland]

Solve for Δt₀ in the first equation at the attached image.

 

[Tim541541]

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.

 

[Nugatory]

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 $\Delta{t}_0$.