• Skip to primary navigation
  • Skip to main content
  • Skip to primary sidebar
SensorsONE

SensorsONE

  • Products
  • Search
  • Contact

Newton’s Universal Gravitation Calculator

Calculate Newton's Universal Gravitation Parameters
Select Answer Mode
Mass (m1) [?]
Mass (m2) [?]
Distance (r) [?]
Force (F) [?]

Click save settings to reload page with unique web page address for bookmarking and sharing the current tool settings

✕ clear settings

Change the answer mode for this tool by selecting mass of object 1 (m1), mass of object 2 (m2), distance between centre of mass of each object (r) or gravitational force acting on both objects (F) as the parameter to calculate instead



Related Tools

  • Local gravity calculator
  • Mass units conversion
  • Distance units conversion
  • Force units conversion

Contents

Toggle
  • User Guide
    • Formulas
      • Symbols
    • Mass (m1)
    • Mass (m2)
    • Distance (r)
    • Force (F)

User Guide

This tool will calculate any parameter from the formula for Newton’s universal gravitational force F=Gm₁m₂/r², which includes the mass of each object, the distance between each object’s centre of mass, and the gravitation force on both objects.

Newton’s universal gravitation law explains that the attracting force between two objects is directly proportional to multiplying each object’s mass together, and inversely proportional to the square of the distance between the centre of mass of each object.

Formulas

The formulas used by this Newton’s universal gravitational force calculator to determine each individual parameter are:

m1 = F · r2 / (G · m2)

m2 = F · r2 / (G · m1)

r = (G · m1 · m2 / F)1/2

F = G · m1 · m2 / r2

Symbols

  • m1 = Mass of object 1
  • m2 = Mass of object 2
  • r = Distance between objects centre of mass
  • F = Gravitational force
  • G = Gravitational constant

Mass (m1)

This is the total mass of object 1.

Mass (m2)

This is the total mass of object 2.

Distance (r)

This is the distance between each object’s centre of mass.

Force (F)

This is the gravitation force attracting both objects together.

Primary Sidebar

Tools

  • Unit Converters
  • Pressure
  • Liquid Level
  • Temperature & Heat
  • Electrical & Electromagnetic
  • Flow
  • Force, Load & Torque
  • Mass & Weight
  • Dimensions
  • Density
  • Time & Frequency
  • Speed & Acceleration
  • Energy & Power
  • Sensors & Instrumentation
  • Shapes
  • Movement & Motion
  • Travel & Transportation
  • Pricing & Quantities
  • Chemical Quantities
  • Health & Fitness

Tool Feedback

Please provide feedback on using this Newton’s Universal Gravitation Calculator.

By clicking "OK" or continuing to use this website you are providing your consent to use cookies as described in our Privacy Policy

© 2025 SensorsONE Ltd, all rights reserved

  • Home
  • Products
  • Tools
  • Legal
  • Contact