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Let us consider a 1.4 solar mass neutron star, which, if not spinning would have a radius of about 10km. Ignoring relativistic corrections (which will be significant) the angular velocity $\omega$ of a circular orbit just above that surface is given by $$r\omega^2 = GM/r^2$$ so $$\omega = \sqrt{\frac{GM}{r^3}}$$ and putting in values, we find $\omega = 13.6 ...


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