An Introduction to Modern Astrophysics · Problem 6.1

Binary Systems and Stellar Parameters — Carroll & Ostlie

Physics — Astrophysics · solid-angle-integral

Problem

For some point PP in space, show that for any arbitrary closed surface surrounding PP, the integral over a solid angle about PP gives Ωtot=∮dΩ=4π.\Omega_{\mathrm{tot}} = \oint d\Omega = 4\pi.

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