// multi-utility computation suite · offline · instant · precise
┌──────────────────────────┐
│ [c] calcalyst_ │
│ computation suite │
└──────────────────────────┘
// select a module to initialize
/ search↵ open firstesc close
// adsenseEMPTY_LEADER_SLOT728×90
// keyboard shortcuts
/focus search
Escclear search · close calc
Enteropen first result
↑↓navigate list
?toggle this panel
// adsenseMOBILE_ANCHOR_SLOT320×50
// keyboard_shortcuts
/focus search
↑↓navigate module list
Enter
open first result from search
open highlighted
compute when module is open
compute when focused in a field
Escclose module · clear selection
⌫
sci.gravitational-microlensing Calculator
Calculates gravitational microlensing magnification A = (u²+2)/(u√(u²+4)) from source-lens-observer alignment parameter u = θ/θ_E. Microlensing can magnify a background star by 100× or more near perfect alignment — the OGLE and KMTNet surveys use this to detect exoplanets around distant stars.
Inputs
M Solar
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
D Lens Kpc
Separation between two points or total path length. Check that units are consistent throughout the calculation.
D Source Kpc
Separation between two points or total path length. Check that units are consistent throughout the calculation.
V T Km S
Speed in a specified direction (m/s). Required for momentum, kinetic energy, and wave calculations.
Results
Einstein ring radius RE (AU)
The computed radius -- half the diameter.
Einstein crossing time tE (days)
The computed duration or time value.
Einstein ring radius RE (m)
The computed radius -- half the diameter.
RE = √(4GM/c² × Dl(Ds-Dl)/Ds)
Reference formula or conversion factor shown for context.
OGLE survey typical tE
Reference formula or conversion factor shown for context.