When I had tried it, I first stared at the expression for ##\tan(\omega)## and concluded there's no way it can be as simple as the answer we're looking for. Now I understand why faith plays an important role.
Thanks for the help!
I'm not sure if it's necessary. I found exact formula for wigner rotation under two perpendicular boosts which turns out to be ##tan(\omega) == -\frac{\gamma_2\gamma_1\beta_2\beta_1}{\gamma_2+\gamma_1}##. Which gives the same result as Rindler under the limits ##\beta_1, \beta_2 << 1##. So we...
I am trying to work through rindler's relativity book. However, I got stuck at what I think should be a simple approximation.
I calculated the angles ##\theta## and ##\theta''## using the formula for velocity transformation. If I simply expand ##\gamma(v)## and ##\gamma(v')## using taylor...