gamma-astro-data-formats
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Use spherical trigonometry in PSF formulae
The formula
.. math:: \int_{0}^{\infty} 2 \pi r dP/dr(r) dr = 1, where dP/dr = 2 \pi r dP/d\Omega
on the PSF page is only true for small angles, the correct formula is
.. math:: \int_{0}^{\infty} 2 \pi sin(r) dP/dr(r) dr = 1, where dP/dr = 2 \pi sin(r) dP/d\Omega
Also in the description above the small angle approximation is used. The exact formulae should be given as for some instruments, the maximum PSF radius can become quite large, and the difference will be perceptible.