Kepler's Third Law Calculator

Period from Semi-Major Axis: - days

Semi-Major Axis from Period: - AU

Orbital Velocity: - km/s

Understanding Kepler's Laws

Kepler's Third Law

The square of the orbital period is directly proportional to the cube of the semi-major axis.

T² = (4π²/GM) × a³

where:

  • T = orbital period
  • G = gravitational constant
  • M = central body mass
  • a = semi-major axis

Advanced Orbital Mechanics

  • Elliptical Orbits
  • Orbital Elements
  • Angular Momentum
  • Escape Velocity
  • Orbital Energy
  • Hohmann Transfers
  • Lagrange Points
  • Perturbation Theory
  • Orbital Resonance
  • N-body Problems
  • Tidal Forces
  • Orbital Precession

Applications in Astronomy

Solar System

Planetary orbits

Binary Stars

Stellar dynamics

Exoplanets

Detection methods

Space Flight

Mission planning

Satellites

Orbital mechanics

Celestial Bodies

Motion analysis