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Any star whose declination is higher than (90 - your latitude) will be "circum-polar", meaning that the star will never appear to set.

The star Alkaid, one of the handle stars in the Big Dipper, has a declination of 49 degrees. If your latitude is 90-49=41 N, then the star Alkaid will never go below the horizon.

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Q: What object with what declination would be above the horizon for the longest amount of time at your location?
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