Why isnt it working? Time Dilation

[KaneOris]

Ohk,

v= D/t = DA (R)/tA(R) = c(k*k-1)/k*k+1)

Which gives the relativistic doppler shift formula
k = sqrt((1+v/c)/(1-v/c))
So from this we should be able to find the time dilation with
(1+k*k)/(2*k) = 1/sqrt(1-v/c)
BUT IT JUST ISNT WORKING!
Anyone have any ideas why?

 

[zefram_c]

No idea what you're trying to do here. Can you give a physical context, or at least explain some notation?

 

[KaneOris]

Nevermind, i found out my formula was wrong, it was just the maths i stuffed up.

rather than

(1+k*k)/(2*k) = 1/sqrt(1-v/c)

it should be

(1+k*k)/(2*k) = 1/sqrt(1-v^2/c^2)