Unravel the mysteries of gravitational lensing with our Angular Radius of Einstein Ring Calculator. Instantly compute the Einstein radius for distant sources, crucial for astrophysics research and understanding cosmic phenomena. Simplify complex calculations with our precise online tool.
Formula:
The formula for the angular radius of an Einstein Ring (θE) is:
θE = √[ (4 × G × ML / c2) × (DLS / (DL × DS)) ]
Where:
- θE = Angular Radius of the Einstein Ring (output in arcseconds)
- G = Gravitational Constant (6.67430 × 10-11 N⋅m2/kg2)
- ML = Mass of the Lensing Object (in kg)
- c = Speed of Light (2.99792458 × 108 m/s)
- DL = Angular Diameter Distance to the Lens (in meters)
- DS = Angular Diameter Distance to the Source (in meters)
- DLS = Angular Diameter Distance from the Lens to the Source (in meters)