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{{For|the Phillips relationship in labour-market economics|Phillips curve}}
In [[astrophysics]], the '''Phillips relationship''' is the relationship between the peak luminosity of a [[Type Ia supernova]] and the speed of luminosity evolution after maximum light.<ref>{{cite journal | last = Phillips | first = M. M. | authorlink = Mark M. Phillips | title = The absolute magnitudes of Type IA supernovae | journal = [[Astrophysical Journal|Astrophysical Journal Letters]] | volume = 413 | issue = 2 | pages = L105–L108 | year = 1993 | doi = 10.1086/186970 | bibcode = 1993ApJ...413L.105P}}</ref> During the course of the [[Calán/Tololo Supernova Survey]], [[Mark M. Phillips]] discovered that the faster the supernova faded from maximum light, the fainter its peak magnitude was. It has been recast to include the evolution in multiple photometric bandpasses<ref>Hamuy, M., Phillips, M. M., Maza, J., Suntzeff, N. B., Schommer, R. A., & Aviles, R. 1995, ''Astronomical Journal'', 109, 1</ref><ref>Riess, A. G., Press, W. H., & Kirshner, R. P. 1996, ''AstrophysicsJournal'', 473, 88</ref> and as a ''stretch'' in the time axis relative to a standard template.<ref>Perlmutter, S. A., & et al.  1997, ''NATO ASIC Proc. 486: Thermonuclear Supernovae'', 749 </ref>
The relation is typically used to bring any Type Ia supernova peak magnitude to a [[standard candle]] value.


It was originally defined as the decline in the ''B''-magnitude [[light curve]] from maximum light to the [[apparent magnitude|magnitude]] 15 days after ''B''-maximum, a parameter he called <math>\Delta{m}_{15}</math>. The relation states that the maximum '''intrinsic''' B-band magnitude is given by <ref>{{cite book | last = Rosswog & Bruggen | title = High Energy Astrophysics }}</ref>


<math> M_\mathrm{max}(B) = -21.726 + 2.698 \Delta m_{15} (B). </math>
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[[File:Dm15 definition 3.gif|text-top|thumb|border|The original <math>\Delta{m}_{15}</math> definition drawn by Phillips around 1995.]]
 
==References==
{{reflist|2}}
 
[[Category:Astrophysics]]
[[Category:Supernovae]]

Latest revision as of 14:09, 5 May 2014


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