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Calcimator

Orbital Period Calculator

Calculate orbital period using Kepler's laws. Find orbital velocity, angular velocity, and perihelion/aphelion distances.

Inputs

AU
Solar Masses

Results

Orbital Period

1 years

Orbital Period

365.25 days

Orbital Velocity

29,785.68 m/s

Angular Velocity0.017202 rad/day
Perihelion Distance1 AU
Aphelion Distance1 AU

Orbital Period

1 years

Orbital Period

365.25 days

Orbital Velocity

29,785.68 m/s

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. Semi-Major Axis — Average distance from central body (1 AU = Earth-Sun distance) Accepts values from 0.01 AU to 100 AU (default: 1 AU).
  3. Central Mass — Mass of central body in solar masses Accepts values from 0.01 Solar Masses to 100 Solar Masses (default: 1 Solar Masses).
  4. Orbital Eccentricity — Orbit eccentricity (0 = circular, <1 = elliptical) Accepts values from 0 to 0.99 (default: 0).
  5. Once all inputs are set, review your results in the Results panel. Here's what each output means:
  6. Orbital Period — shown as a numeric value. This is the primary result of this calculator.
  7. Orbital Period — shown as a numeric value. This is the primary result of this calculator.
  8. Orbital Velocity — shown as a numeric value. This is the primary result of this calculator.
  9. Angular Velocity — shown as a numeric value.
  10. Perihelion Distance — shown as a numeric value.
  11. Aphelion Distance — 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

T² = (4π² / GM) × a³ (Kepler's Third Law)

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