Período orbital Kepler
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The Kepler orbital period calculator determines the time it takes for an object to complete an orbit around another body, based on Kepler's third law. It uses the relationship between the semi-major axis of the orbit (a), the universal gravitational constant (G), and the mass of the central body (M). This tool is vital in astronomy for predicting celestial motions and planning space missions.
The formula follows T = 2π√(a³/GM), where T is the orbital period, a is the semi-major axis, G is the gravitational constant (6.674×10⁻¹¹ N·m²/kg²), and M is the central body's mass. Practical use requires unit consistency (meters, kilograms, seconds). The calculator streamlines complex calculations, reducing manual errors in gravitational mechanics.
This tool is applied in scenarios like calculating satellite orbits, predicting planetary movements, or studying binary star systems. However, it assumes the central mass dominates, neglecting influences from other bodies or relativistic effects. For similar-mass objects, adjustments to the formula are necessary.
Additionally, the calculator focuses on circular or near-circular orbits. For highly elliptical paths, accurate semi-major axis values are critical. Users should verify that G and M values align with current scientific standards for precision.
Frequently asked questions
What formula does the calculator use?
It applies T = 2π√(a³/GM), where T is orbital period, a is semi-major axis, G is gravitational constant, and M is the central mass.
What is this tool used for?
It calculates satellite, planetary, or binary star orbits to assist astronomical planning and space simulations.
Do I need to convert units before inputting values?
Yes, values must be in meters (a), kilograms (M), and seconds (T) for accurate results.
Does the calculator account for relativistic effects?
No, the classical formula ignores relativistic effects. Adjustments are needed for high precision.
Can I use it for elliptical orbits?
The formula works for circular or nearly circular orbits. For elliptical orbits, ensure the semi-major axis is correctly calculated.