Exoplanet Habitability Score
Calculate the Earth Similarity Index (ESI) for an exoplanet based on radius, density, escape velocity, and surface temperature relative to Earth.
Inputs
Results
Earth Similarity Index
1
Classification
Earth-like
How to Use This Calculator
- Enter Planet Radius (R⊕) relative to Earth — values near 1.0 indicate a rocky, Earth-sized world.
- Enter Planet Density (ρ⊕) relative to Earth's 5,515 kg/m³ to characterize interior composition.
- Enter Escape Velocity (V⊕) relative to Earth's 11.2 km/s — this determines ability to retain an atmosphere.
- Enter Surface Temperature (K): Earth is 288 K; values between 273 K and 373 K allow liquid water.
- Read the Earth Similarity Index (ESI) from 0 to 1 — values above 0.8 are considered Earth-like, and check Water State for habitability clues.
How the result changes with Surface Temperature
| Surface Temperature | Earth Similarity Index | Classification |
|---|---|---|
| 209 | 0.8852 | Earth-like |
| 707 | 0.6804 | Potentially Habitable |
| 1,304 | 0.4886 | Marginally Habitable |
| 1,801 | 0.4035 | Marginally Habitable |
What each input means
- Planet Radius
- Planet radius in Earth radii (Earth = 1, Mars = 0.53, Jupiter = 11.2)
- Planet Density
- Bulk density relative to Earth (Earth = 1 = 5,515 kg/m³, Mars = 0.71)
- Escape Velocity
- Escape velocity relative to Earth (Earth = 1 = 11.2 km/s, Mars = 0.45)
- Surface Temperature
- Estimated equilibrium surface temperature in Kelvin (Earth = 288 K, Mars = 210 K)
How this is calculated
Formula
ESI = ∏(1 - |xᵢ - xᵢ₀| / (xᵢ + xᵢ₀))^(wᵢ/n)Worked example, using the default values
- Identify Input Parameters4 parametersPlanet Radius = 1, Planet Density = 1, Escape Velocity = 1, Surface Temperature = 288 = 4 input(s) provided
- Calculate Earth Similarity IndexEarth Similarity Index1 = 1
- Calculate ClassificationEarth-like = Earth-like
- Calculate Interior ESIInterior ESI1 = 1
- Calculate Surface ESISurface ESI1 = 1
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators.
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