Calculator Hub

Mechanical & Civil Engineering

Orbital Period Calculator

Determine orbital period and semi-major axis for an Earth-orbiting body using Kepler's third law.

Your inputs

Change any value to update the result instantly.

Mechanical & Civil Engineering
km

Orbital period

92.41 min

Semi-major axis

6,771 km

Orbital velocity

7.673 km/s

Period in seconds

5,544.9 s

Orbits per day

15.58

What this calculator does

Orbital Period Calculator: Applies the standard aerodynamics or orbital-mechanics relationship so the force, efficiency or manoeuvre cost can be worked out from the flight inputs.

What your result means

The headline figure is the aerodynamic force, efficiency or manoeuvre cost implied by your flight inputs. Real vehicles carry additional losses and margins.

Formula and working

T = 2π·√(a³/μ)

  1. 1

    Collect the inputs

    Orbital altitude = 400 km

  2. 2

    Apply the formula

    T = 2π·√(a³/μ)

  3. 3

    Result

    Orbital period = 92.41 min

Frequently asked questions

Symbols and assumptions

altitude
Orbital altitude (km)
  • Standard-atmosphere and idealised flow or two-body orbital conditions are assumed.
  • Losses, gravity turn, atmospheric drag and vehicle-specific effects are not modelled unless the page names them.

Sources and review

Reviewed 2026-09-22 · Next review 2027-09-22

  • This is an educational estimate for learning and checking, not a design deliverable.
  • Real design must follow the governing code or standard for your jurisdiction and be reviewed and signed off by a qualified engineer.
  • Safety factors, load combinations and material certification are the responsibility of the designer, not of this page.

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

Report a mistake or request an improvement

Tell us if a formula, unit, explanation, or result needs attention. Your message will include this calculator’s name and page.

Related calculators

Back to Calculator Hub