Orbital Mechanics Calculator
Complete orbital mechanics calculations. Kepler's laws, Hohmann transfers, delta-v, Lagrange points, escape velocities, and relativistic effects.
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How to Use This Calculator
- Use the Kepler module to enter semi-major axis (AU) and central mass (solar masses) to compute Orbital Period and Mean Velocity.
- In the Hohmann Transfer section, enter departure and arrival orbit radii to get Total Delta-V (km/s) and Transfer Time (days).
- Check Lagrange Points to find stable gravitational equilibria β L4 and L5 are stable, L1/L2/L3 are unstable.
- Use the Roche Limit and Hill Sphere outputs to determine where a satellite will survive vs. be tidally disrupted.
- Review the orbital comparison chart against the solar system planets to contextualize your orbit.
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Formula
TΒ² = (4ΟΒ²/GM)aΒ³ (Kepler's 3rd) | v = β(GM/r) | ΞV = v_transfer - v_circularRelated Calculators
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