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The neutron star so affected wouldn't really notice. The mass of the neutron star is huge compared to that of the material in the accretion disk. And that matter, when it falls in, wouldn't really "slow" the spin of the star much unless there was a gigantic quantity of matter falling in and/or it acted over a very long period.

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Q: What would happen to a neutron star with an accretion disk orbiting in a direction opposite to the neutron star's spin?
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