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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

R⊕
ρ⊕
V⊕
K

Results

Earth Similarity Index

1

Classification

Earth-like

Interior ESI1
Surface ESI1
Surface Gravity1 g⊕
Surface Temperature14.9 °C
Water StateLiquid (possible)
How to Use This Calculator
  1. Enter Planet Radius (R⊕) relative to Earth — values near 1.0 indicate a rocky, Earth-sized world.
  2. Enter Planet Density (ρ⊕) relative to Earth's 5,515 kg/m³ to characterize interior composition.
  3. Enter Escape Velocity (V⊕) relative to Earth's 11.2 km/s — this determines ability to retain an atmosphere.
  4. Enter Surface Temperature (K): Earth is 288 K; values between 273 K and 373 K allow liquid water.
  5. 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 TemperatureEarth Similarity IndexClassification
2090.8852Earth-like
7070.6804Potentially Habitable
1,3040.4886Marginally Habitable
1,8010.4035Marginally 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

  1. Identify Input Parameters
    4 parameters
    Planet Radius = 1, Planet Density = 1, Escape Velocity = 1, Surface Temperature = 288 = 4 input(s) provided
  2. Calculate Earth Similarity Index
    Earth Similarity Index
    1 = 1
  3. Calculate Classification
    Earth-like = Earth-like
  4. Calculate Interior ESI
    Interior ESI
    1 = 1
  5. Calculate Surface ESI
    Surface ESI
    1 = 1

Engine last updated . Checked against 2 independently-derived tests how we verify calculators.

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