An interesting phenomenon occurring in certain pulsars

Chapter , Problem 85

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An interesting phenomenon occurring in certain pulsars (see 24) is an event known as a spin glitch, that is, a quick change in the spin rate of the pulsar due to a shift in mass location and a resulting rotational change in inertia. Imagine a pulsar whose radius is and whose period of rotation is The rotation period is observed to suddenly decrease from to If that decrease was caused by a contraction of the star, by what amount would the pulsar radius have had to change?

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