Add a section giving formulae relevant to redshift
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The '''redshift''' of a given object is a measure of the amount that the wavelength of its emitted or reflected electromagnetic radiation has increased. This increase in wavelength is prevailingly interpreted as due to the relative motion of a source with respect to an [[Scientific observation|observer]]; a [[light]] emitting source moving away from an observer will have its spectrum shifted toward longer (in optical light, redder) wavelengths. In practice this is analogous to the [[Doppler effect|Doppler shifting]] of sound waves emitted from a moving source. Light emitted from a source moving towards an observer will experience a blueshift. In the case of redshift, however, most of the redshift is believed to be due not to the object moving through space, but to the expansion of space itself.
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The '''redshift''' of a given object is a measure of the amount that the [[wavelength]] of its emitted or reflected electromagnetic radiation has increased.<ref name=britannica>{{cite web|url=https://www.britannica.com/science/redshift|title=Redshift|accessdate=2019-04-02}}</ref> This increase in wavelength is prevailingly interpreted as due to the relative motion of a source with respect to an [[Scientific observation|observer]]; a [[light]] emitting source moving away from an observer will have its spectrum shifted toward longer (in optical light, redder) wavelengths. In practice this is analogous to the [[Doppler effect|Doppler shifting]] of sound waves emitted from a moving source. Light emitted from a source moving towards an observer will experience a blueshift. In the case of redshift, however, most of the redshift is believed to be due not to the object moving through space, but to the expansion of space itself.
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==Mathematics==
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The redshift, ''Z'', of an object as measured by an observer is defined as,<ref name=swin>{{cite web|url=http://astronomy.swin.edu.au/cosmos/c/cosmological+redshift|title=Cosmological Redshift|accessdate=2019-04-02}}</ref>
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:<math>
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1 + Z \equiv \frac{\lambda_\mathrm{observed}}{\lambda_\mathrm{emitted}}
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</math>
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where the <math>\lambda_\mathrm{emitted}</math> is the wavelength of light emitted by the object and <math>\lambda_\mathrm{observed}</math> is the wavelength measured by the observed. The recessional velocity, ''v'', of an object can be determined from its redshift to be,<ref>{{cite web|url=http://hyperphysics.phy-astr.gsu.edu/hbase/Astro/redshf.html|title=Red shift|accessdate=2019-04-02}}</ref>
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:<math>
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\frac{v}{c} = \frac{(z+1)^2 - 1}{(z+1)^2 + 1}
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</math>
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where ''c'' is the [[speed of light]]. At small recessional velocities/redshifts, the formula can be simplified to,<ref name=swin/>