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The '''Virbhadra–Ellis lens equation''' <ref>K.S. Virbhadra and G. F.R. Ellis, Phys. Rev. D62, 084003 (2000).{{full|date=November 2012}}</ref> relates [[angular position]]s of the unlensed source <math>\left(\beta\right)</math>, the image <math> \left(\theta\right)</math>, the Einstein bending angle of light <math>(\hat{\alpha})</math>, and the angular diameter lens-source <math>\left(D_{ds}\right)</math> and observer-source <math>\left(D_s\right)</math> distances.
 
:<math>\tan \beta = \tan \theta - \frac{D_{ds}}{D_s} \left [\tan \theta + \tan \left (\hat{\alpha}-\theta\right ) \right ]</math>.
 
This lens equation is mainly useful for studying [[gravitational lens]]ing in a strong gravitational field (see [http://www.google.com/search?hl=en&client=firefox-a&rls=org.mozilla%3Aen-US%3Aofficial&channel=s&q=Virbhadra-Ellis+lens+equation&aq=f&aqi=&aql=&oq=&gs_rfai= here]{{full|date=November 2012}} for more information.)
 
==References==
{{Reflist}}
 
{{DEFAULTSORT:Virbhadra-Ellis lens equation}}
[[Category:Gravitation]]
[[Category:Astrophysics]]

Latest revision as of 20:25, 18 September 2012

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The Virbhadra–Ellis lens equation [1] relates angular positions of the unlensed source , the image , the Einstein bending angle of light , and the angular diameter lens-source and observer-source distances.

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This lens equation is mainly useful for studying gravitational lensing in a strong gravitational field (see hereTemplate:Full for more information.)

References

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  1. K.S. Virbhadra and G. F.R. Ellis, Phys. Rev. D62, 084003 (2000).Template:Full