$$\theta = \tan^{-1} \left( \frac{\frac{\nu^2}{rg} - \mu}{1 + \frac{\mu \nu^2}{rg}} \right)$$
I entered the formula above into a python code and ran it to:
Starting at 1, increase the velocity and radius by 1 and give out an answer for each iteration.
I found that past a certain point the angle gets to 73 or 74 degrees and doesn't increase much further than this.
Is there a reason for this?