Calculate the photon capture radius and the Schwarzschild radius of M87*(AU)
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Rs = 1.563 AU
Explanation:
Mass of the sun = Mo = 2 * 10^30 kg
Mass of M87 = 7.2 * 10^9 Mo = 7.2 * 10^9 * 2 * 10^30 = 1.44 * 10^40 kg
Schwarzchild Radius = Rs = 2GM/ c^2
= 2 * 6.67 * 10^-11 * 1.44 * 10^40 / 9 * 10^18
= 2.134 * 10^11 m
Let's covert to AU using 1m = 6.68 * 10^-12m
Rs = 2.134 * 10^11 * 6.68 * 10^-12 AU
= 1.563 AU
The Schwarzchild Radius of M87 = 1.563 AU
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