So basically for celestial bodies like stars their inner densities are different so we use a polytropic value
https://en.wikipedia.org/wiki/Polytrope We get this formula: (3*G*M^2)/(r(5-n))
Where G is the gravitational constant, M is mass, r is radius, and n is the polytrope value
However to get an unrealistic/ideal low and high end to show the overall range, I will modify it:
(3*R*M*g)/(5-n)
Where g is surface gravity
Sources:
https://www.britannica.com/science/neutron-star https://www.space.com/neutron-stars-bigger-than-thought https://en.wikipedia.org/wiki/Neutron_star https://futurism.com/the-weight-of-a-neutron-star-2 https://www.mpg.de/14575466/how-big-is-a-neutron-star Low End: 1.18 solar masses, Polytrope of 1, 10,000 meter radius, 1e12 m/s^2
(3 * 10000 meters * 1.18 solar masses * 1e12 m/s^2)/(5-1)
= 1.7603535e46 joules (176.03 foe)
High End: 1.97 solar masses, Polytrope value of 0.5, 14250 meter radius, 1e13 m/s^2
(3 * 14250 meters * 1.97 solar masses * 1e13 m/s^2)/(5-0.5)
= 2.55102075e47 joules (2551.02 foe)
So big range
What would the average be perhaps?
Mid End: 1.35 solar masses, Polytrope of 0.75, 11000 meter radius
I will use the base formula for a more realistic gravity:
(3*G*(1.35 solar masses^2))/(11000 meters(5-0.75))
= 2.28766468e46 joules (228.77 foe) So realistically it’s around 200 foe for the typical neutron star, but if you really wank up a number the absolute highest you can get it is about 2500 foe. Largest radii seem to be up to 20 km though so maybe higher, but that’s unrealistic
