(a) Determine the minimum rotation period for a 1.4 M⊙ neutron star (the fastest it can spin without flying apart). For convenience, assume that the star remains spherical with a radius of 10 km.
(b) Newton studied the equatorial bulge of a homogeneous fluid body of mass M that is slowly rotating with angular velocity Ω. He proved that the difference between its equatorial radius (E) and its polar radius (P) is related to its average radius (R) by
RE−P=4GM5Ω2R3.
Use this to estimate the equatorial and polar radii for a 1.4 M⊙ neutron star rotating with twice the minimum rotation period you found in part (a).