Supergalactic coordinate system

Galaxies and galaxy clusters plotted in the supergalactic plane < 50 mln ly.

In the 1950s the astronomer Gérard de Vaucouleurs recognized the existence of a flattened “local supercluster” from the Shapley-Ames Catalog in the environment of the Milky Way. He noticed that when one plots nearby galaxies in 3D, they lie more or less on a plane. A flattened distribution of nebulae had earlier been noted by William Herschel over 200 years. Vera Rubin had also identified the supergalactic plane in the 1950s, but her data remained unpublished.^[1] The plane delineated by various galaxies defined in 1976 the equator of the supergalactic coordinate system he developed. In years thereafter with more observation data available de Vaucouleurs findings about the existence of the plane proved right.

The observed supergalactic plane is more or less perpendicular to the plane of the Milky Way, the angle is 84.5 degrees. The plane runs through the constellations Cassiopeia (in the galactic plane), Camelopardalis, Ursa Major, Coma Berenices (near the galactic north pole), Virgo, Centaurus, Circinus (in the galactic plane), Triangulum Australe, Pavo, Indus, Grus, Sculptor (near the galactic south pole), Cetus, Pisces, Andromeda, and Perseus.

Based on the super galactic coordinate system of de Vaucouleurs surveys^[2]in recent years determined the positions of galaxies, of nearby galaxy clusters relative to the supergalactic plane. Amongst others the Virgo cluster, the Norma cluster (including the Great Attractor), the Coma cluster, the Pisces-Perseus supercluster, the Hydra cluster, the Centaurus cluster, the Pisces-Cetus supercluster and the Shapley Concentration were found to be near the supergalactic plane.

Definition

The supergalactic coordinate system is a spherical coordinate system in which the equator is the supergalactic plane.

By convention, supergalactic latitude is usually abbreviated SGB, and supergalactic longitude as SGL, by analogy to $b$ and $l$ conventionally used for galactic coordinates.

The zero point ^[3]is where the super-galactic plane intersects with the galactic plane - (SGB = 0°, SGL = 0°) - this lies at (l_x = 137.37°, b_x = 0°). In J2000 equatorial coordinates, this is approximately 2.82^h, +59.5°.
The plane passes through Earth, because the super-galactic plane is identified as a plane observed from Earth.
The north supergalactic pole (SGB = 90°) lies at galactic coordinates in the constellation of Hercules ( $l z$ = 47.37°, $b z$ = +6.32°). In the equatorial coordinate system (epoch J2000), this is approximately RA = 18.9^h, Dec = +15.7°.

So the transformation from a triple of Cartesian supergalactic coordinates to a triple of galactic coordinates is

{\begin{bmatrix}x\\y\\z\end{bmatrix}}_{\text{gal}}={\begin{bmatrix}\cos l_{x}\cos b_{x}&\sin l_{z}\cos b_{z}\sin b_{x}-\sin b_{z}\sin l_{x}\cos b_{x}&\cos l_{z}\cos b_{z}\\\sin l_{x}\cos b_{x}&\sin b_{z}\cos l_{x}\cos b_{x}-\cos l_{z}\cos b_{z}\sin b_{x}&\sin l_{z}\cos b_{z}\\\sin b_{x}&\cos b_{z}\cos b_{x}\sin \left(l_{x}-l_{z}\right)&\sin b_{z}\end{bmatrix}}{\begin{bmatrix}x\\y\\z\end{bmatrix}}_{\text{superg}}

The left column in this matrix is the image of the origin of the supergalactic system in the galactic system, the right column in this matrix is the image of the north pole of the supergalactic coordinates in the galactic system, and the middle column is the cross product (to complete the right handed coordinate system).

References

^ Scoles, Sarah (4 October 2016). "How Vera Rubin confirmed dark matter". Astronomy.com.
^ Lahav, O.; et al. (1998). "The Supergalactic Plane revisited with the Optical Redshift Survey". arXiv:astro-ph/9809343.
^ Abarkahkašân, A. (n.d.). "An Etymological Dictionary of Astronomy and Astrophysics".{{cite web}}: CS1 maint: url-status (link)

External links

Lahav, O.; Santiago, B. X. (2000). "The supergalactic plane revisited with the Optical Redshift Survey". MNRAS. 312 (1): 166–176. arXiv:astro-ph/9809343. Bibcode:2000MNRAS.312..166L. doi:10.1046/j.1365-8711.2000.03145.x. S2CID 17951943.{{cite journal}}: CS1 maint: unflagged free DOI (link)
Nearest group of galaxies: http://www.icc.dur.ac.uk/~tt/Lectures/Galaxies/LocalGroup/Back/galgrps.html
Understanding the supergalactic coordinates: http://fisherka.csolutionshosting.net/astronote/Structure/Supergal/Supergalacticcoords.html
The universe beyond 10 megaparsecs in Supergalactic coordinates: http://134.4.36.101/level5/Dev2/Dev6.html
Tully R.B. (1989) Support for Three Controversial Claims Made by Gérard de Vaucouleurs. In: Corwin H.G., Bottinelli L. (eds) The World of Galaxies. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9356-6_62

[1] Scoles, Sarah (4 October 2016). "How Vera Rubin confirmed dark matter". Astronomy.com.

[2] Lahav, O.; et al. (1998). "The Supergalactic Plane revisited with the Optical Redshift Survey". arXiv:astro-ph/9809343.

[3] Abarkahkašân, A. (n.d.). "An Etymological Dictionary of Astronomy and Astrophysics".{{cite web}}: CS1 maint: url-status (link)

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