Skip to main content
Engineering Calculator

Orbital Period Calculator (Kepler's Third Law)

Calculate the orbital period of any spacecraft from its semi-major axis using Kepler's third law. Supports Earth, Moon, Mars, Sun, and arbitrary central bodies.

orbital period calculatorkepler's third laworbit period formulasemi-major axis

What It Does

The Orbital Period Calculator applies Kepler's third law (T = 2π × √(a³/μ)) to compute the orbital period of any spacecraft from its semi-major axis. Enter altitude (for circular orbits) or semi-major axis (for elliptical) and the calculator returns the period in seconds, minutes, hours, and revolutions per day. Built-in central body presets cover Earth, Moon, Mars, Venus, Sun, and Jupiter, with a custom μ field for asteroid and small-body missions.

Key Features

  • Computes period from altitude (circular) or semi-major axis (elliptical)
  • Output in seconds, minutes, hours, and revolutions per sidereal day
  • Central body presets for Earth, Moon, Mars, Venus, Sun, Jupiter
  • Custom gravitational parameter input for small bodies and asteroids

Why It Matters

Orbital period drives almost everything downstream of orbit selection: revisit time over a target, ground station contact frequency, eclipse cadence, thermal cycling rate, and battery cycle life. A LEO mission at 400 km has 90-minute periods and 16 revs/day; one at 800 km has 100-minute periods and 14 revs/day. That difference cascades into ConOps, downlink scheduling, and even battery sizing. Getting the period right at concept stage anchors the rest of the mission timeline.

Calculator Preview

Start a free pilot to use this calculator with your own mission parameters.

Try It Free

Related Calculators

Included in every plan

The aerospace pack ships 127 calculators, and there are 478 across all 20 industry packs. Plans start at $14.99/month.