Localization theorem - Revision history

en>Yobot: WP:CHECKWIKI error fixes using AWB (10093)

2014-05-05T12:09:11Z

WP:CHECKWIKI error fixes using AWB (10093)

← Older revision		Revision as of 14:09, 5 May 2014
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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>

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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]~~]

en>Mark viking: Added wl, removed red link for "fluid volume"

2013-07-06T18:19:47Z

Added wl, removed red link for "fluid volume"

← Older revision		Revision as of 20:19, 6 July 2013
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			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]]

en>Michael Hardy: notation style corrections; see WP:MOSMATH

2009-10-02T04:54:03Z

notation style corrections; see WP:MOSMATH

New page

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