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Calcimator

Tidal Force Calculator

Calculate tidal forces, Roche limit, Hill sphere, and tidal locking timescales for celestial bodies.

Inputs

Solar Masses
Solar Masses
AU
Solar Radii

Results

Tidal Acceleration

0.000000002 m/s²

Tidal Force

13,826,206,961,669,026 N

Roche Limit

0 AU

Hill Sphere Radius0.01 AU
Tidal Locking Timescale56,835,384,694,778,550,000,000,000,000,000,000,000 million years

Tidal Acceleration

0.000000002 m/s²

Tidal Force

13,826,206,961,669,026 N

Roche Limit

0 AU

How to Use This Calculator
  1. 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.
  2. Primary Mass — Mass of primary body (e.g., star) Accepts values from 0.01 Solar Masses to 1,000 Solar Masses (default: 1 Solar Masses).
  3. Secondary Mass — Mass of secondary body (e.g., planet) Accepts values from 0.000001 Solar Masses to 100 Solar Masses (default: 0.000003 Solar Masses).
  4. Orbital Distance — Distance between bodies Accepts values from 0.01 AU to 100 AU (default: 1 AU).
  5. Secondary Radius — Radius of secondary body Accepts values from 0.00001 Solar Radii to 10 Solar Radii (default: 0.000042 Solar Radii).
  6. Once all inputs are set, review your results in the Results panel. Here's what each output means:
  7. Tidal Acceleration — shown as a numeric value. This is the primary result of this calculator.
  8. Tidal Force — shown as a numeric value. This is the primary result of this calculator.
  9. Roche Limit — shown as a numeric value. This is the primary result of this calculator.
  10. Hill Sphere Radius — shown as a numeric value.
  11. Tidal Locking Timescale — shown as a numeric value.
  12. 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

a_tidal = (2GM × r) / d³

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