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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>
 
 
 
[[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]]

Revision as of 20:19, 6 July 2013

28 year-old Painting Investments Worker Truman from Regina, usually spends time with pastimes for instance interior design, property developers in new launch ec Singapore and writing. Last month just traveled to City of the Renaissance. 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.[1] 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[2][3] and as a stretch in the time axis relative to a standard template.[4] 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 magnitude 15 days after B-maximum, a parameter he called Δm15. The relation states that the maximum intrinsic B-band magnitude is given by [5]

Mmax(B)=−21.726+2.698Δm15(B).


File:Dm15 definition 3.gif
The original Δm15 definition drawn by Phillips around 1995.

References

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  2. ↑ Hamuy, M., Phillips, M. M., Maza, J., Suntzeff, N. B., Schommer, R. A., & Aviles, R. 1995, Astronomical Journal, 109, 1
  3. ↑ Riess, A. G., Press, W. H., & Kirshner, R. P. 1996, AstrophysicsJournal, 473, 88
  4. ↑ Perlmutter, S. A., & et al. 1997, NATO ASIC Proc. 486: Thermonuclear Supernovae, 749
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