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Galaxy morphological classification
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===Numerical Hubble stage=== De Vaucouleurs also assigned numerical values to each class of galaxy in his scheme. Values of the numerical Hubble stage ''T'' run from β6 to +10, with negative numbers corresponding to early-type galaxies (ellipticals and lenticulars) and positive numbers to late types (spirals and irregulars).<ref>{{Cite web|url=https://ned.ipac.caltech.edu/level5/Tinsley/Tinsley1.html|title=Qualitative and Quantitative Classifications of Galaxies|website=ned.ipac.caltech.edu|access-date=2019-02-06}}</ref> Thus, as a rough rule, lower values of ''T'' correspond to a larger fraction of the stellar mass contained in a spheroid/bulge relative to the disk. The approximate mapping between the spheroid-to-total stellar mass ratio (M<sub>B</sub>/M<sub>T</sub>) and the Hubble stage is M<sub>B</sub>/M<sub>T</sub>=(10βT)<sup>2</sup>/256 based on local galaxies.<ref>{{Cite journal|title=Simulation of the Cosmic Evolution of Atomic and Molecular Hydrogen in Galaxies|journal = The Astrophysical Journal|volume = 698|issue = 2|at=Equation (18)|arxiv = 0904.2221|doi = 10.1088/0004-637X/698/2/1467|year = 2009|last1 = Obreschkow|first1 = D.|last2 = Croton|first2 = D.|last3 = De Lucia|first3 = G.|last4 = Khochfar|first4 = S.|last5 = Rawlings|first5 = S.|bibcode = 2009ApJ...698.1467O| s2cid=204925243 }}</ref> Elliptical galaxies are divided into three 'stages': compact ellipticals (cE), normal ellipticals (E) and late types (E<sup>+</sup>). Lenticulars are similarly subdivided into early (S<sup>β</sup>), intermediate (S<sup>0</sup>) and late (S<sup>+</sup>) types. Irregular galaxies can be of type magellanic irregulars (''T'' = 10) or 'compact' (''T'' = 11). {| class="wikitable" style="text-align: center; margin: 1em auto;" |+ Numerical Hubble stage !Hubble stage ''T'' | β6 | β5 | β4 | β3 | β2 | β1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |9-10 | 10 | 11 |12 |13 |- !de Vaucouleurs class<ref name="deVaucouleurs1994"/> | cE | E | E<sup>+</sup> | S0<sup>β</sup> | S0<sup>0</sup> | S0<sup>+</sup> | S0/a | Sa | Sab | Sb | Sbc | Sc | Scd | Sd | Sdm | Sm |Ir | Im | Irp |d Trans |dSph |- !approximate Hubble class<ref>{{cite book |last=Binney |first=J. |author2=Merrifield, M. |title=Galactic Astronomy |date=1998 |publisher=Princeton University Press |location=Princeton |isbn=978-0-691-02565-0}}</ref> | colspan="3" align="center" | E | colspan="3" align="center" | S0 | S0/a | Sa | Sa-b | Sb | Sb-c | colspan="3" align="center" | Sc | Sc-Irr | colspan="3" align="center" | Irr I |Irr Il |d E |dSph |- |} The use of numerical stages allows for more [[Quantitative research|quantitative]] studies of galaxy morphology.
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