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The sun measures about 32 arc minutes as seen from earth. It is a big ball with a diameter of some 1.392 x 109 meters. Taking the sun away and sticking in a typical neutron star would mean substituting that big ball with something only some 20 to 40 kilometers in diameter. The neutron star is miniscule compared to the sun. A ball 30 kilometers in diameter is small compared to earth!

We've reduced the problem to an exercise in mathematics. If the sun at 1.392 x 109 meters in diameter is replaced with something only 3 x 104 meters in diameter, then the neutron star will appear to have an angular diameter of 0.000000115 seconds of arc.

Sun = 32 minutes of arc

Neutron star = 0.000000115 seconds of arc

It would take a pretty big telescope to be able to resolve something as small as a neutron star at a distance of some 93 million miles. The object being sighted in on is pretty small.

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Q: If the sun was replaced by a typical neutron star what would the angular diameter of the neutron star be as seen from earth?
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