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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/sΒ²

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
How to Use This Calculator
  1. Enter Primary Mass (solar masses) β€” the dominant gravitational body, such as a star.
  2. Enter Secondary Mass (solar masses) and Secondary Radius (solar radii) β€” the smaller orbiting body.
  3. Set Orbital Distance (AU) between the two bodies β€” reducing this dramatically increases tidal acceleration.
  4. Read Tidal Acceleration (m/sΒ²) and Tidal Force (N) acting across the secondary's diameter.
  5. Use Roche Limit (AU), Hill Sphere Radius (AU), and Tidal Locking Timescale (million years) to characterize the system's dynamical state.
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Formula

a_tidal = (2GM Γ— r) / dΒ³

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