Circumpolar stars stay above the horizon all hours of the day, every day of the year. Circumpolar stars neither rise nor set but always remain in the sky. They’re up even in daytime when you can’t see them.
For instance, the stars of the famous Big Dipper asterism are circumpolar at all latitudes north of 41o north latitude, which includes the northern half of the mainland United States and most of Europe.
How many circumpolar stars appear in your sky depends on where you are. At the Earth’s North and South Poles, every visible star is circumpolar. At the Earth’s equator, no star is circumpolar because all the stars rise and set daily in that part of the world. Places in between the equator and poles have some stars that are circumpolar, and some stars that rise and set daily (like the sun).
We in the Northern Hemisphere are lucky to have a moderately-bright star, Polaris, nearly coinciding with the north celestial pole – the point in the sky that’s at zenith (straight overhead) at the Earth’s North Pole.
Draw an imaginary line straight down from Polaris, the North Star, to the horizon, and presto, you have what it takes to draw out the circle of circumpolar stars in your sky.
For people in the Northern Hemisphere, Polaris nearly pinpoints the center of the great big circle of circumpolar stars on the sky’s dome; and the imaginary vertical line from Polaris to the horizon depicts the radius measure. (See the above chart, which has this line drawn in for you.) Let your arm serve as a circle compass, enabling you to envision the circle of circumpolar stars with your mind’s-eye. Closer to the equator, the circle of circumpolar stars grows smaller; nearer to the North Pole (or South Pole) the circle of circumpolar stars grows larger.
This technique for locating the circle of circumpolar stars works in the Southern Hemisphere, as well. However, it’s trickier to star-hop to the south celestial pole – the point on the sky’s dome that’s at zenith over the Earth’s South Pole. Practiced stargazers in the Southern Hemisphere rely on the Southern Cross, and key stars, to star-hop to the south celestial pole, as depicted in the illustration below:
The Southern Cross is circumpolar anywhere south of 35o south latitude; yet, in the Northern Hemisphere, it’s the W or M-shaped constellation Cassiopeia that’s circumpolar at all places north of 35o north latitude. (Scroll upward to the chart showing Cassiopeia at nightfall for mid-northern latitudes.)
By the way, Cassiopeia lies on the opposite side of Polaris from the Big Dipper. So from mid-northern latitudes, the Big Dipper and Polaris help you to locate Cassiopeia. See the above animation, whereby all the stars revolve full circle around the celestial pole each day – or more precisely: every 23 hours and 56 minutes.
If Cassiopeia is circumpolar in your sky, then the Southern Cross never climbs above your horizon; and conversely, if the Southern Cross is circumpolar in your sky, then the constellation Cassiopeia never climbs above the horizon.
As seen from the tropics (and subtropics), neither the Southern Cross nor Cassiopeia is circumpolar. From this part of the world, the Southern Cross rises over the southern horizon when Cassiopeia sinks below the northern horizon; and conversely, Cassiopeia rises over the northern horizon when the Southern Cross sinks below the southern horizon.
Bottom line: Circumpolar stars stay above the horizon all hours of the day, every day of the year. Although you can’t see them, they’re up even in daytime.