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In , declination (abbreviated dec; symbol δ) is one of the two angles that locate a point on the in the equatorial coordinate system, the other being . The declination angle is measured north (positive) or south (negative) of the celestial equator, along the passing through the point in question.

(1992). 9780935702682, University Science Books, Mill Valley, CA.

[[File:Ra and dec demo animation small.gif|right|thumb|350px| and declination as seen on the inside of the . The primary direction of the system is the , the ascending node of the (red) on the celestial equator (blue). Declination is measured northward or southward from the celestial equator, along the passing through the point in question.]]

The root of the word declination (Latin, declinatio) means "a bending away" or "a bending down". It comes from the same root as the words incline ("bend forward") and recline ("bend backward").

In some 18th and 19th century astronomical texts, declination is given as North Pole Distance (N.P.D.), which is equivalent to 90 – (declination). For instance an object marked as declination −5 would have an N.P.D. of 95, and a declination of −90 (the south celestial pole) would have an N.P.D. of 180.


Explanation
Declination in astronomy is comparable to geographic , projected onto the , and right ascension is likewise comparable to longitude.

Points north of the celestial equator have positive declinations, while those south have negative declinations. Any units of angular measure can be used for declination, but it is customarily measured in the degrees (°), minutes (′), and seconds (″) of , with 90° equivalent to a quarter circle. Declinations with magnitudes greater than 90° do not occur, because the poles are the northernmost and southernmost points of the celestial sphere.

An object at the

The sign is customarily included whether positive or negative.


Effects of precession
The Earth's axis rotates slowly westward about the poles of the ecliptic, completing one circuit in about 26,000 years. This effect, known as , causes the coordinates of stationary celestial objects to change continuously, if rather slowly. Therefore, equatorial coordinates (including declination) are inherently relative to the year of their observation, and astronomers specify them with reference to a particular year, known as an epoch. Coordinates from different epochs must be mathematically rotated to match each other, or to match a standard epoch.Moulton (1918), pp. 92–95.

The currently used standard epoch is J2000.0, which is January 1, 2000 at 12:00 . The prefix "J" indicates that it is a . Prior to J2000.0, astronomers used the successive Besselian Epochs B1875.0, B1900.0, and B1950.0. see, for instance,


Stars
A 's direction remains nearly fixed due to its vast distance, but its and declination do change gradually due to precession of the equinoxes and , and cyclically due to . The declinations of objects change very rapidly compared to those of stars, due to and close proximity.

As seen from locations in the Earth's Northern Hemisphere, celestial objects with declinations greater than 90° −  (where = observer's ) appear to circle daily around the without dipping below the , and are therefore called . This similarly occurs in the Southern Hemisphere for objects with declinations less (i.e. more negative) than −90° −  (where is always a for southern latitudes). An extreme example is the 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 . 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 . 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°.

+ visible by Observer's (°)Declination
of (°)of non-circumpolar stars (°)of stars not visible (°)
+ for north latitude, − for south − for north latitude, + for south
90 (Pole)0 to 90
66.5 (/)23.5 to 90
45 (midpoint)45 to 90
23.5 (Tropic of Cancer/Capricorn)66.5 to 90
0 ()
Non-circumpolar stars are visible only during certain days or of the year.


Sun
The Sun's declination varies with the . As seen from or latitudes, the Sun is circumpolar near the local , leading to the phenomenon of it being above the at , which is called . Likewise, near the local winter solstice, the Sun remains below the horizon all day, which is called .


Relation to latitude
When an object is directly overhead its declination is almost always within 0.01 degrees of the observer's latitude; it would be exactly equal except for two complications.

The first complication applies to all celestial objects: the object's declination equals the observer's astronomical latitude, but the term "latitude" ordinarily means geodetic latitude, which is the latitude on maps and GPS devices. In the continental United States and surrounding area, the difference (the vertical deflection) is typically a few arcseconds (1 arcsecond = of a degree) but can be as great as 41 arcseconds.

The second complication is that, assuming no deflection of the vertical, "overhead" means perpendicular to the ellipsoid at observer's location, but the perpendicular line does not pass through the center of the Earth; almanacs provide declinations measured at the center of the Earth. (An ellipsoid is an approximation to that is mathematically manageable).


See also


Notes and references

External links

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