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{"ops":[{"insert":"The radiation field carries away the rotational energy of a star (as well as its angular momentum) and we can observe this pin down as a change in the period of the pulsar. Suppose the star has a moment of inertia I, (1)show that the angular frequency of rotation changes as a function of time according to dw\/dt = -Cw^3 (w=omega=angular velocity). (2)Find C (3)Solve this differential equation with the boundary condition that at t=0, the period is T.(4)If neutron star was spinning much more rapidly in the past (assume so), how old is it?\n"}]}
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