Unfortunately I'm sure. To make matters worse, boundaries are the first nulls of sinc, and not infinity, so even if it's perfectly normal sinc integral I would have a problem.
Phi is not a problem, I'll have 2*pi constant before integral over theta, problem is this integral which I don't know how to solve: (sinc(a*sin theta))^2
TA just told us to think about those substitutions and similar problem of sinc x *sinc y which are easy to solve (where x and y can be expressed in spheric coordinates).
Why thank you very much, and thank you for your helpful suggestion, but I already tried that, didn't work, so I came here asking for help. I can't seem to transform integral in purely Descartes coordinates, there is always one spheric coordinate left. I need fresh idea.
Homework Statement
Solve main lobe of radio telescope if the power diagram is given as:
P_{n}(\vartheta, \varphi)=sinc^{2}(a*sin\vartheta)
Homework Equations
Ω_{m}=\int\intP_{n} sin\vartheta d\varthetad\varphi
The Attempt at a Solution
Purely math question - but I have problem...