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
annual parallax. The declinations of
Solar System objects change very rapidly compared to those of stars, due to
orbital motion and close proximity. As seen from locations in the Earth's
Northern Hemisphere, celestial objects with declinations greater than 90° − (where = observer's
latitude) appear to circle daily around the
celestial pole without dipping below the
horizon, and are therefore called
circumpolar stars. This similarly occurs in the
Southern Hemisphere for objects with declinations less (i.e. more negative) than −90° − (where is always a
negative number for southern latitudes). An extreme example is the
pole star which has a declination near to +90°, 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 is circumpolar for some observer (where is either positive or negative), then a star whose declination is − 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 , then it never rises above the horizon as seen by an observer at latitude −. Neglecting atmospheric refraction, for an observer at the equator, declination is always 0° at east and west points of the
horizon. At the north point, it is 90° − ||, and at the south point, −90° + ||. From the
poles, declination is uniform around the entire horizon, approximately 0°. Non-circumpolar stars are visible only during certain days or
seasons of the year. (green) and is positive northward (towards the top), negative southward (towards the bottom). The lines of right ascension (blue) divide the sky into
great circles, here 1 hour apart. ==Sun==