Question

If earths moon were replaced by a neutron star with a radius of 17 km what would the angular diameter in arc seconds of the neutron star be as seen from earth

Answer 1

The angular diameter in arc seconds of the neutron star be as seen from Earth is 18.22 arc seconds.

Angular diameter of the neutron star

The angular diameter of the neutron star is calculated as follows;

$\frac{angular \ diameter }{2.06 \times 10^5 \ arc \ seconds} = \frac{linear \ diameter}{distance} \\\\angular \ diameter = 2.06 \times 10^5 \ arc \ seconds(\frac{linear \ diameter}{distance})$

• linear diameter of neutron star = 2 x 17 km = 34 km
• distance between Earth and moon = 384,400 km

angular diameter  = 2.06 x 10⁵ x (34/384,400)

angular diameter = 18.22 arc seconds

Thus, the angular diameter in arc seconds of the neutron star be as seen from Earth is 18.22 arc seconds.

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