Gravitational Lensing Simulator
Point mass lens — observer’s sky view
☀
Click/drag canvas to reposition source • Press P to play/pause
Side-View Geometry
Source
Position \(\beta/\theta_E\)
2.00
Direction \(\phi\)
0°
Disk radius \(r/\theta_E\)
0.15
Lens Display Scale
\(\theta_E\) ring size (px)
95
Transit Animation
▶ Play
↻ Reset
Impact param \(b/\theta_E\)
0.00
Speed
3
Display
Angle annotations \((\theta_+, \theta_-, \beta)\)
Einstein ring \(\theta_E\)
True source position
Transit path
Angular scale rings
Galaxy source (exponential profile)
Tangent lines from lens to source
Lensing effect
Physical Scale
Star
Stellar BH
Galaxy
Cluster
\(\log_{10}(M/M_\odot)\)
11.0
\(D_L\)
1000
\(D_S\)
2000
\(\theta_E\) =
—
\(\beta/\theta_E\):
—
\(\mu_\text{total}\):
—
\(\theta_+\):
—
\(\theta_E\)
\(\theta_-\):
—
\(\theta_E\)
◯ Einstein Ring