- #1
elizevin
- 5
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Homework Statement
Solve main lobe of radio telescope if the power diagram is given as:
P[itex]_{n}[/itex]([itex]\vartheta[/itex], [itex]\varphi[/itex])=sinc[itex]^{2}[/itex](a*sin[itex]\vartheta[/itex])
Homework Equations
Ω[itex]_{m}[/itex]=[itex]\int[/itex][itex]\int[/itex]P[itex]_{n}[/itex] sin[itex]\vartheta[/itex] d[itex]\vartheta[/itex]d[itex]\varphi[/itex]
The Attempt at a Solution
Purely math question - but I have problem solving the integral. I can solve sinc or sinc[itex]^{n}[/itex] etc. Hint is to solve integral in Descartes coordinates
x=asin[itex]\vartheta[/itex]cos[itex]\varphi[/itex]
y=asin[itex]\vartheta[/itex]sin[itex]\varphi[/itex]
Does anybody have an idea how to solve this integral?