Circumpolar star


A circumpolar star is a star, as viewed from a given latitude on Earth, that never sets below the horizon due to its apparent proximity to one of the celestial poles. Circumpolar stars are therefore visible from said location toward the nearest pole for the entire night on every night of the year.
All circumpolar stars lie within a relative circumpolar circle, whose radius equals the observer's latitude. This was in fact the original meaning of "Arctic Circle", before the current geographical meaning, meaning "Circle of the Bears", from Greek αρκτικός, "near the Bear", from the word άρκτος bear.

Explanation

As Earth rotates daily on its axis, the stars appear to move in circular paths around one of the celestial poles. Stars far from a celestial pole appear to rotate in large circles; stars located very close to a celestial pole rotate in small circles and hence hardly seem to engage in any diurnal motion at all. Depending on the observer's latitude on Earth, some stars - the circumpolar ones - are close enough to the celestial pole to remain continuously above the horizon, while other stars dip below the horizon for some portion of their daily circular path.
The circumpolar stars appear to lie within a circle that is centered at the celestial pole and tangential to the horizon. At the Earth's North Pole, the north celestial pole is directly overhead, and all stars that are visible at all are circumpolar. As one travels south, the north celestial pole moves towards the northern horizon. More and more stars that are at a distance from it begin to disappear below the horizon for some portion of their daily "orbit", and the circle containing the remaining circumpolar stars becomes increasingly small. At the Equator, this circle vanishes to a single point – the celestial pole itself – which lies on the horizon, and there are thus effectively no circumpolar stars at all.
As one travels south of the Equator, the opposite happens. The south celestial pole appears increasingly high in the sky, and all the stars lying within an increasingly large circle centered on that pole become circumpolar about it. This continues until one reaches the Earth's South Pole where, once again, all visible stars are circumpolar.
The north celestial pole is located very close to the pole star, so from the Northern Hemisphere, all circumpolar stars appear to move around Polaris. Polaris itself remains almost stationary, always at the north, and always at the same altitude, equal to the observer's latitude. These are then classified into quadrants.

Definition of circumpolar stars

Whether a star is circumpolar depends upon the observer's latitude. Since the altitude of the north or south celestial pole equals the absolute value of the observer's latitude, any star whose angular distance from the visible celestial pole is less than the absolute latitude will be circumpolar. For example, if the observer's latitude is 50° N, any star will be circumpolar if it is less than 50° from the north celestial pole. If the observer's latitude is 35° S, then all stars within 35° of the south celestial pole are circumpolar. Stars on the celestial equator are not circumpolar when observed from any latitude in either hemisphere of the Earth.
"A star with its polar distance approximately equal to or less than the latitude of the observer".
Whether a given star is circumpolar at the observer's latitude may be calculated in terms of the star's declination. The star is circumpolar if θ + δ is greater than +90°, or θ + δ is less than −90°.
"A star whose diurnal circle lies above the horizon never sets, even though it cannot be seen during the day. Designation of a star as circumpolar depends on the observer's latitude. At the equator no star is circumpolar. At the North or South Pole all stars that are visible at all are circumpolar, since only one half of the celestial sphere can ever be seen. For an observer at any other latitude a star whose declination is greater than 90° minus the observer's latitude will be circumpolar, appearing to circle the celestial pole and remaining always above the horizon. A constellation made up entirely of circumpolar stars is also called circumpolar. From most of the United States the Big Dipper is circumpolar".
Similarly, the star will never rise above the local horizon if δ − θ is less than −90°, or δ − θ is greater than +90°. Thus, Canopus is invisible from such locations as San Francisco and Louisville, if marginally visible from Fresno, Tulsa, and Virginia Beach.
Some stars within the far northern constellation roughly north of the Tropic of Cancer will be circumpolar stars, which never rise or set.
For British observers, for example, the first magnitude stars Capella and Deneb do not set from anywhere in the country. Vega is technically circumpolar north of latitude +51° 13' ; taking atmospheric refraction into account, it will probably only be seen to set at sea level from Cornwall and the Scilly Isles.
Some stars within the far southern constellations roughly south of the Tropic of Capricorn will also be circumpolar stars.
Stars that are circumpolar in one hemisphere are always invisible in the high latitudes of the opposite hemisphere, and these never rise above the horizon. For example, the southern circumpolar star Acrux is invisible from most of the Contiguous United States, likewise, the seven stars of the northern circumpolar Big Dipper asterism are invisible from most of the Patagonia region of South America.