Velocidade Orbital de Kepler

v = √(GM/r).
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

v
7.546 m/s

Formula

v = √(GM/r)

About this calculator

The Kepler Orbital Velocity calculator is a useful tool for calculating the velocity of an object in orbit around a celestial body. It uses the formula v = √(GM/r), where v is the orbital velocity, G is the gravitational constant, M is the mass of the central body, and r is the orbital radius.

The formula is based on Kepler's laws and Newton's law of universal gravitation. It is widely used in astrophysics to calculate the velocity of planets, moons, asteroids, and other objects in orbit. The calculator is easy to use and provides accurate and reliable results.

Orbital velocity is a fundamental parameter in astrophysics, as it determines the orbit of an object and its relationship with the central body. It is used in a variety of applications, including the prediction of satellite orbits, the determination of planetary masses, and the simulation of celestial collisions.

To use the calculator, simply enter the values of G, M, and r and calculate the orbital velocity. Note that the formula assumes the object is in a circular orbit and that the object's mass is negligible compared to the central body's mass.

Frequently asked questions

What is orbital velocity?

Orbital velocity is the velocity of an object in orbit around a celestial body.

What formula does the calculator use?

The formula used is v = √(GM/r), where v is the orbital velocity, G is the gravitational constant, M is the mass of the central body, and r is the orbital radius.

What are the applications of orbital velocity?

Orbital velocity is used in a variety of applications, including the prediction of satellite orbits, the determination of planetary masses, and the simulation of celestial collisions.

What is required to use the calculator?

To use the calculator, simply enter the values of G, M, and r and calculate the orbital velocity.

Is the formula valid for elliptical orbits?

No, the formula assumes the object is in a circular orbit.

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