Ok, time for some edumecation.
Last time, we explored how Einstein derived his famous equation, E = mc[sup:2ruquwbt]2[/sup:2ruquwbt] See: viewtopic.php?f=81&t=1043 (http://atheistforums.com/viewtopic.php?f=81&t=1043)
One of those equations was taken for granted.
?[sub:2ruquwbt]B[/sub:2ruquwbt][sup:2ruquwbt]+[/sup:2ruquwbt] = ½ E(1 + (V/c)cos?)(1 – V[sup:2ruquwbt]2[/sup:2ruquwbt]/c[sup:2ruquwbt]2[/sup:2ruquwbt])[sup:2ruquwbt]-½[/sup:2ruquwbt]
At the time that Einstein published his papers in 1905, it had been derived by others, so he didn't have to do it.
In this blog, that equation is derived from first principles.
See: http://soi.blogspot.ca/2013/06/relativi ... ffect.html (http://soi.blogspot.ca/2013/06/relativistic-doppler-effect.html)
EDIT: no ads on that site, not trying to get more clicks. :-D