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Galactic coordinate system

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(Redirected fromNorth Galactic Pole)
Celestial coordinate system in spherical coordinates, with the Sun as its center
An artistic depiction of the Milky Way Galaxy showing the origin and orientation of galactic longitude. The galactic longitude (l) runs from the Sun upwards in the image through the center of the galaxy. The galactic latitude (b) is perpendicular to the image (i.e. coming out of the image) and also centered on the Sun.

Thegalactic coordinate system (GCS) is acelestial coordinate system inspherical coordinates, with theSun as its center, the primary direction aligned with the approximate center of theMilky WayGalaxy, and thefundamental plane parallel to an approximation of thegalactic plane but offset to its north. It uses theright-handed convention, meaning that coordinates are positive toward the north and toward the east in thefundamental plane.[1]

Spherical coordinates

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Galactic longitude

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The galactic coordinates use theSun as the origin. Galactic longitude (l) is measured with primary direction from the Sun to the center of the galaxy in the galactic plane, while the galactic latitude (b) measures theangle of the object above thegalactic plane.

Longitude (symboll) measures theangular distance of an object eastward along the galactic equator from the Galactic Center. Analogous to terrestriallongitude, galactic longitude is usually measured in degrees (°).

Galactic latitude

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Latitude (symbolb) measures theangle of an object northward of the galactic equator (or midplane) as viewed from Earth. Analogous to terrestriallatitude, galactic latitude is usually measured in degrees.

Definition

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See also:Galactic plane,Galactic Center, andGalactic anticenter

The first galactic coordinate system was used byWilliam Herschel in 1785. A number of different coordinate systems, each differing by a few degrees, were used until 1932, whenLund Observatory assembled a set of conversion tables that defined a standard galactic coordinate system based on a galactic north pole atRA12h 40m,dec +28° (in theB1900.0 epoch convention) and a 0° longitude at the point where thegalactic plane andequatorial plane intersected.[1]

In 1958, theInternational Astronomical Union (IAU) defined the galactic coordinate system in reference to radio observations of galactic neutralhydrogen through thehydrogen line, changing the definition of the Galactic longitude by 32° and the latitude by 1.5°.[1] In theequatorial coordinate system, forequinox and equator of 1950.0, the north galactic pole is defined atright ascension12h 49m,declination +27.4°, in the constellationComa Berenices, with a probable error of ±0.1°.[2] Longitude 0° is the great semicircle that originates from this point along the line inposition angle 123° with respect to theequatorial pole. The galactic longitude increases in the same direction as right ascension. Galactic latitude is positive towards the north galactic pole, with a plane passing through the Sun and parallel to the galactic equator being 0°, whilst the poles are ±90°.[3] Based on this definition, the galactic poles and equator can be found fromspherical trigonometry and can beprecessed to otherepochs; see the table.

J2000.0equatorial coordinates approximating the galactic reference points[1]
 Right ascensionDeclinationConstellation
North Pole
+90° latitude
12h 51.4m+27.13°Coma Berenices
(near31 Com)
South Pole
−90° latitude
0h 51.4m−27.13°Sculptor
(nearNGC 288)
Center
0° longitude
17h 45.6m−28.94°Sagittarius
(inSagittarius A)
Anticenter
180° longitude
5h 45.6m+28.94°Auriga
(nearHIP 27180)

Galactic north

Galactic south

Galactic center
Approx galactic quadrants (NGQ/SGQ, 1–4) indicated, along with differentiating Galactic Plane (containing the Galactic Center) and the Galactic Coordinates Plane (containing the Sun / Solar System)

The IAU recommended that during the transition period from the old, pre-1958 system to the new, the old longitude and latitude should be designatedlI andbI while the new should be designatedlII andbII.[3] This convention is occasionally seen.[4]

Radio sourceSagittarius A*, which is the best physical marker of the trueGalactic Center, is located at17h 45m 40.0409s,−29° 00′ 28.118″ (J2000).[2] Rounded to the same number of digits as the table,17h 45.7m, −29.01° (J2000), there is an offset of about 0.07° from the defined coordinate center, well within the 1958 error estimate of ±0.1°. Due to the Sun's position, which currently lies56.75±6.20 ly north of the midplane, and the heliocentric definition adopted by the IAU, the galactic coordinates of Sgr A* are latitude+0° 07′ 12″ south, longitude0° 04′ 06″. Since as defined the galactic coordinate system does not rotate with time, Sgr A* is actually decreasing in longitude at the rate of galactic rotation at the sun,Ω, approximately 5.7milliarcseconds per year (seeOort constants).

Conversion between equatorial and galactic coordinates

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An object's location expressed in theequatorial coordinate system can be transformed into the galactic coordinate system. In these equations,α isright ascension,δ isdeclination. NGP refers to the coordinate values of the north galactic pole and NCP to those of the north celestial pole.[5]

sin(b)=sin(δNGP)sin(δ)+cos(δNGP)cos(δ)cos(ααNGP)cos(b)sin(lNCPl)=cos(δ)sin(ααNGP)cos(b)cos(lNCPl)=cos(δNGP)sin(δ)sin(δNGP)cos(δ)cos(ααNGP){\displaystyle {\begin{aligned}\sin(b)&=\sin(\delta _{\text{NGP}})\sin(\delta )+\cos(\delta _{\text{NGP}})\cos(\delta )\cos(\alpha -\alpha _{\text{NGP}})\\\cos(b)\sin(l_{\text{NCP}}-l)&=\cos(\delta )\sin(\alpha -\alpha _{\text{NGP}})\\\cos(b)\cos(l_{\text{NCP}}-l)&=\cos(\delta _{\text{NGP}})\sin(\delta )-\sin(\delta _{\text{NGP}})\cos(\delta )\cos(\alpha -\alpha _{\text{NGP}})\end{aligned}}}

The reverse (galactic to equatorial) can also be accomplished with the following conversion formulas.

sin(δ)=sin(δNGP)sin(b)+cos(δNGP)cos(b)cos(lNCPl)cos(δ)sin(ααNGP)=cos(b)sin(lNCPl)cos(δ)cos(ααNGP)=cos(δNGP)sin(b)sin(δNGP)cos(b)cos(lNCPl){\displaystyle {\begin{aligned}\sin(\delta )&=\sin(\delta _{\text{NGP}})\sin(b)+\cos(\delta _{\text{NGP}})\cos(b)\cos(l_{\text{NCP}}-l)\\\cos(\delta )\sin(\alpha -\alpha _{\text{NGP}})&=\cos(b)\sin(l_{\text{NCP}}-l)\\\cos(\delta )\cos(\alpha -\alpha _{\text{NGP}})&=\cos(\delta _{\text{NGP}})\sin(b)-\sin(\delta _{\text{NGP}})\cos(b)\cos(l_{\text{NCP}}-l)\end{aligned}}}

Where:

αNGP=12h51.4mδNGP=27.13lNCP=122.93314{\displaystyle \alpha _{\text{NGP}}=12^{h}51.4^{m}\qquad \delta _{\text{NGP}}=27.13^{\circ }\qquad l_{\text{NCP}}=122.93314^{\circ }}

Rectangular coordinates

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In some applications use is made of rectangular coordinates based on galactic longitude and latitude and distance. In some work regarding the distant past or future the galactic coordinate system is taken as rotating so that thex-axis always goes to the centre of the galaxy.[6]

There are two majorrectangular variations of galactic coordinates, commonly used for computing space velocities of galactic objects. In these systems thexyz-axes are designatedUVW, but the definitions vary by author. In one system, theU axis is directed toward the Galactic Center (l = 0°), and it is aright-handed system (positive towards the east and towards the north galactic pole); in the other, theU axis is directed toward the galactic anticenter (l = 180°), and it is a left-handed system (positive towards the east and towards the north galactic pole).[7]

Theanisotropy of the star density in the night sky makes the galactic coordinate system very useful for coordinating surveys, both those that require high densities of stars at low galactic latitudes, and those that require a low density of stars at high galactic latitudes. For this image theMollweide projection has been applied, typical in maps using galactic coordinates.

In the constellations

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The galactic equator runs through the followingconstellations:[8]

See also

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Wikimedia Commons has media related toGalactic coordinate system.

References

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  1. ^abcdBlaauw, A.; Gum, C.S.; Pawsey, J.L.; Westerhout, G. (1960)."The new IAU system of galactic coordinates (1958 revision)".Monthly Notices of the Royal Astronomical Society.121 (2): 123.Bibcode:1960MNRAS.121..123B.doi:10.1093/mnras/121.2.123.
  2. ^abReid, M.J.; Brunthaler, A. (2004). "The Proper Motion of Sagittarius A*".The Astrophysical Journal.616 (2): 874, 883.arXiv:astro-ph/0408107.Bibcode:2004ApJ...616..872R.doi:10.1086/424960.S2CID 16568545.
  3. ^abJames Binney, Michael Merrifield (1998).Galactic Astronomy.Princeton University Press. pp. 30–31.ISBN 0-691-02565-7.
  4. ^For example inKogut, A.; et al. (1993). "Dipole Anisotropy in the COBE Differential Microwave Radiometers First-Year Sky Maps".Astrophysical Journal.419: 1.arXiv:astro-ph/9312056.Bibcode:1993ApJ...419....1K.doi:10.1086/173453.
  5. ^Carroll, Bradley; Ostlie, Dale (2007).An Introduction to Modern Astrophysics (2nd ed.). Pearson Addison-Wesley. pp. 900–901.ISBN 978-0805304022.
  6. ^For exampleBobylev, Vadim V. (March 2010). "Searching for Stars Closely Encountering with the Solar System".Astronomy Letters.36 (3):220–226.arXiv:1003.2160.Bibcode:2010AstL...36..220B.doi:10.1134/S1063773710030060.S2CID 118374161.
  7. ^Johnson, Dean R.H.; Soderblom, David R. (1987). "Calculating galactic space velocities and their uncertainties, with an application to the Ursa Major group".Astronomical Journal.93: 864.Bibcode:1987AJ.....93..864J.doi:10.1086/114370.
  8. ^"SEDS Milky Way Constellations".

External links

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