Roche Limit Calculator

Calculate Roche limit - the minimum distance a satellite can orbit before being torn apart by tidal forces.

Primary Radius

Solar Radii

Primary Density

kg/m³

Secondary Density

kg/m³

Body Type

Roche Limit

1,083.999 km

Roche Limit

0.0072 AU

Roche Limit1.56 Primary Radii

Stability Factor0.135

Roche Limit

1,083.999 km

Roche Limit

0.0072 AU

How to Use This Calculator

Start by filling in the input fields below. Results update instantly as you type, so you can experiment with different values to see how they affect the outcome.
Primary Radius — Radius of primary body Accepts values from 0.01 Solar Radii to 1,000 Solar Radii (default: 1 Solar Radii).
Primary Density — Average density of primary body Accepts values from 100 kg/m³ to 100,000 kg/m³ (default: 1,408 kg/m³).
Secondary Density — Average density of secondary body Accepts values from 100 kg/m³ to 100,000 kg/m³ (default: 5,514 kg/m³).
Body Type — Whether secondary body is fluid or rigid Choose from: Fluid, Rigid. default: 0.
Once all inputs are set, review your results in the Results panel. Here's what each output means:
Roche Limit — shown as a numeric value. This is the primary result of this calculator.
Roche Limit — shown as a numeric value. This is the primary result of this calculator.
Roche Limit — shown as a numeric value.
Stability Factor — shown as a numeric value.
Explore the related calculators below if you need deeper analysis or want to approach this topic from a different angle.

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Formula

d_Roche = 2.456 × R × (ρ_primary / ρ_secondary)^(1/3)

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