One way to provide artificial gravity (i.e., a feeling of weight) on long space voyages is to separate a spacecraft into two parts at the ends of a long cable, and set them rotating about their center of mass. A craft has been separated into two parts with a mass of 82800 kg each, at the ends of a cable with their centers of mass 92 m apart, rotating around the center point of the cable with a period of 186.1 seconds.
If the cable is reeled in so that the the centers of the two pieces are now only 69 m apart, what will be the new period?
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