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Declination
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==Stars== A [[star]]'s direction remains nearly fixed due to its vast distance, but its [[right ascension]] and declination do change gradually due to [[precession of the equinoxes]] and [[proper motion]], and cyclically due to [[Stellar parallax|annual parallax]]. The declinations of [[Solar System]] objects change very rapidly compared to those of stars, due to [[orbit|orbital motion]] and close proximity. As seen from locations in the Earth's [[Northern Hemisphere]], celestial objects with declinations greater than 90Β° β {{math|''Ο''}} (where {{math|''Ο''}} = observer's [[latitude]]) appear to circle daily around the [[celestial pole]] without dipping below the [[horizon]], and are therefore called [[circumpolar star]]s. This similarly occurs in the [[Southern Hemisphere]] for objects with declinations less (i.e. more negative) than β90Β° β {{math|''Ο''}} (where {{math|''Ο''}} is always a [[negative number]] for southern latitudes). An extreme example is the [[pole star]] which has a declination near to +90Β°, so is circumpolar as seen from anywhere in the Northern Hemisphere except very close to the equator. Circumpolar stars never dip below the horizon. Conversely, there are other stars that never rise above the horizon, as seen from any given point on the Earth's surface (except extremely close to the [[equator]]. Upon flat terrain, the distance has to be within approximately 2 km, although this varies based upon the observer's altitude and surrounding terrain). Generally, if a star whose declination is {{math|''Ξ΄''}} is circumpolar for some observer (where {{math|''Ξ΄''}} is either positive or negative), then a star whose declination is β{{math|''Ξ΄''}} never rises above the horizon, as seen by the same observer. (This neglects the effect of [[atmospheric refraction]].) Likewise, if a star is circumpolar for an observer at latitude {{math|''Ο''}}, then it never rises above the horizon as seen by an observer at latitude β{{math|''Ο''}}. Neglecting atmospheric refraction, for an observer at the equator, declination is always 0Β° at east and west points of the [[horizon]]. At the north point, it is 90Β° β |{{math|''Ο''}}|, and at the south point, β90Β° + |{{math|''Ο''}}|. From the [[Geographical pole|poles]], declination is uniform around the entire horizon, approximately 0Β°. {|class="wikitable" |+ '''[[Star]]s visible by [[latitude]]''' | rowspan="3" style="background:#89cff0; text-align:center;" |'''Observer's [[latitude]] (Β°)''' | colspan="3" style="background:#f4c2c2; text-align:center;"| '''Declination''' |- align = "center" | style="background:#f4c2c2;" |'''of [[circumpolar star]]s (Β°)''' | style="background:#f4c2c2;" |'''of non-circumpolar stars (Β°)''' | style="background:#f4c2c2;" |'''of stars not visible (Β°)''' |- | style="background:#f4c2c2;" | + for north latitude, β for south | style="background:#f4c2c2;" | | style="background:#f4c2c2;" | β for north latitude, + for south |- style="text-align:center;" | 90 ([[Geographical pole|Pole]]) | 90 to 0 || {{N/A}} || 0 to 90 |- style="text-align:center;" | 66.5 ([[Arctic Circle|Arctic]]/[[Antarctic Circle]]) | 90 to 23.5 || +23.5 to β23.5 || 23.5 to 90 |- style="text-align:center;" | 45 ([[45th parallel north|midpoint]]) | 90 to 45 || +45 to β45 || 45 to 90 |- style="text-align:center;" | 23.5 ([[Tropic of Cancer]]/[[Tropic of Capricorn|Capricorn]]) | 90 to 66.5 || +66.5 to β66.5 || 66.5 to 90 |- style="text-align:center;" | 0 ([[Equator]]) | {{N/A}} || +90 to β90 || {{N/A}} |- |} Non-circumpolar stars are visible only during certain days or [[season]]s of the year. [[File:Stars and dec.png|thumb|600px|center|The night sky, divided into two halves. '''Declination''' (green) begins at the [[celestial equator|equator]] (green) and is positive northward (towards the top), negative southward (towards the bottom). The lines of right ascension (blue) divide the sky into [[great circle]]s, here 1 hour apart.]]
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