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I'm a bit late here but here goes anyway.
With pulsars the magnetic poles (the source of the radio waves) are not necessarily on the rotational axis. Consequently, the radio waves are received at any particular location anytime they sweep past like a lighthouse.
What puzzles me even more than that is how any companion star can continue to exist after its mate has commited stellar seppuku in the manner of a supernova.
Clues anyone?
Mark.
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