Einstein ring (source code)

= Einstein ring
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An aligned source behind an axisymmetric <gravitational lens> produces a circular image at an <Einstein radius>. Its angular radius satisfies $\theta_E^2=4GM_{\rm projected}(<D_d\theta_E)D_{ds}/(c^2D_dD_s)$. Exact alignment gives a ring; displaced sources generally give arcs or distinct images rather than a complete ring.