Virbhadra–Ellis lens equation

This article may be too technical for most readers to understand. Please to make it understandable to non-experts, without removing the technical details. (January 2022) (Learn how and when to remove this template message)

The Virbhadra-Ellis lens equation ^[1] in astronomy and mathematics relates to the angular positions of an unlensed source ${\displaystyle \left(\beta \right)}$, the image ${\displaystyle \left(\theta \right)}$, the Einstein bending angle of light ${\displaystyle ({\hat {\alpha }})}$, and the angular diameter lens-source ${\displaystyle \left(D_{ds}\right)}$ and observer-source ${\displaystyle \left(D_{s}\right)}$ distances.

${\displaystyle \tan \beta =\tan \theta -{\frac {D_{ds}}{D_{s}}}\left[\tan \theta +\tan \left({\hat {\alpha }}-\theta \right)\right]}$.

This lens equation is useful for studying gravitational lensing in a strong gravitational field.

References[]

This astronomy-related article is a stub. You can help Wikipedia by .

• v
• t