Calculadora de Força Gravitacional
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
F = G·m₁·m₂/r²
About this calculator
The Gravitational Force Calculator uses Newton's law of universal gravitation, F = G·m₁·m₂/r², to determine the attractive force between two masses. The gravitational constant G (6.674×10⁻¹¹ N·m²/kg²) is fixed, and the user inputs the masses (in kg) and distance (in meters) between the centers of the bodies. The result is displayed in newtons (N) with adjustable precision.
This tool is useful in educational settings, such as high school or college physics, to calculate gravitational forces between planets, satellites, or everyday objects. For example, you can estimate the attraction between Earth and the Moon, or between two people close together. It can also be used in aerospace engineering projects or orbital simulations.
Important considerations: the formula assumes point masses or spherically symmetric bodies, and is inaccurate for irregular objects or very close distances where mass distribution matters. Additionally, gravitational force is extremely weak for small masses; in practice, it is only significant for celestial bodies. Ensure units are correct and remember that G is very small, requiring precise data entry.
The calculator does not account for relativistic effects or varying gravitational fields. For orbital or trajectory calculations, use specific orbital dynamics tools. The result is a vector attractive force, always positive (attraction).
Frequently asked questions
What is the gravitational constant G used in the calculator?
The calculator uses G = 6.674×10⁻¹¹ N·m²/kg², the internationally accepted value.
Can I use this calculator to find the force between two people?
Yes, but the force will be extremely small (around 10⁻⁷ N), imperceptible in everyday life.
Should the distance be measured between the centers of the bodies?
Yes, the formula uses the distance between the centers of mass. For spherical objects, use the average radius.
Why is the result always positive?
Gravitational force is always attractive, so the value is positive (magnitude). The vector sign is not shown.
Does the calculator work for black holes or neutron stars?
Newton's law is approximate for strong gravitational fields. For such cases, general relativity is needed.