Energia Gravitacional
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
U = −GMm/r
About this calculator
The gravitational energy calculator is an online tool that allows calculating the gravitational potential energy between two objects, considering their masses and the distance between them. The formula used is U = −GMm/r, where U is the gravitational potential energy, G is the gravitational constant, M and m are the masses of the objects, and r is the distance between them.
This calculator is useful in various situations, such as in the study of the motion of planets and satellites, in the analysis of star systems, and in understanding astrophysical phenomena. Additionally, it can also be applied to classical physics problems, such as determining the gravitational potential energy of an object in free fall.
To use the calculator, simply enter the values of the masses and the distance between the objects. The calculator will then apply the formula and provide the result. It is essential to note that the gravitational constant G is a fundamental constant of nature, with an approximate value of 6.67408e-11 N m² kg⁻².
Common precautions when using the calculator include ensuring that the entered values are accurate and that the units are consistent. Additionally, it is crucial to remember that the formula assumes that the objects are point-like and that gravity is the only force acting on them.
Frequently asked questions
What is gravitational energy?
Gravitational energy is the potential energy associated with the gravitational attraction between two objects. It depends on the masses of the objects and the distance between them.
What is the formula used by the calculator?
The formula used is U = −GMm/r, where U is the gravitational potential energy, G is the gravitational constant, M and m are the masses of the objects, and r is the distance between them.
What are the units of measurement used by the calculator?
The units of measurement used are Newtons (N) for force, meters (m) for distance, and kilograms (kg) for mass.
Can the calculator be used to calculate the gravitational energy of moving objects?
No, the calculator assumes that the objects are static. To calculate the gravitational energy of moving objects, it is necessary to consider the kinetic energy and potential energy.
What are the limits of precision of the calculator?
The precision of the calculator depends on the precision of the entered values. Additionally, the formula used is an approximation, so the results may have small variations compared to the actual values.