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# G (Gravitational Constant) : metric

The Universal Gravitational Constant** **is 6.67384x10^{-11} (N • m²)/(kg²) or 6.67384•10^{-}¹¹ (m³)/(kg•s²).

#### The Math / Science

The Newtonian constant of gravitation denoted by letter **G**, is an empirical physical constant involved in the calculation(s) of gravitational force between two bodies . It usually appears in Sir Isaac Newton's law of universal gravitation, and in Albert Einstein's theory of general relativity. The constant is expressed in SI units, Newton meters squared per kilogram per second squared.

#### Application

The Force of Gravity is a function of the mass of two objects (e.g. you and the Earth) and the distance between them. The gravity from the mass of the Earth is pulling on the mass in you and on any other object near the Earth. The formula for the the Force of Gravity is:

where:

- G is the universal gravity constant
- m
_{1}is the mass of the first object - m
_{2}is the mass of the second object - D is the distance between them.

The Mass of the Earth is 5.97219x10^{24} kilograms. That's:

- 5,972,190,000,000,000,000,000,000.0 kilograms
- 0.00314657 Jupiter Masses
- 0.000003 Solar Masses

#### Astronomy Calculators

- Kepler's 3
^{rd}Law formula T² = (4π • R³)/(G • M) - Small Angle Formula Small Angle Formula α = S / D
- Flux and Magnitude formulas
- Telescope formulas
- Mass formulas
- Relative Size Formulas
- Wavelength Formulas
- Luminosity and other Formulas

**G (Gravitational Constant) : metric**, is used in 4 calculators and 25 equations/constants.

**Calculators**

**Equations and Constants **

- Acceleration Due to Gravity
- Earth escape velocity using `mu`
- Escape Velocity
- Force of Gravity
- Potential Energy of Gravity
- Standard Gravitational Parameter
- Force of Gravity on Our Sun
- Force of Sun's gravity on planets
- Geopotantial at height
- Gravitational Force Inside The Earth
- J2 (computed)
- K3L-Mass from Period and Separation
- K3L-Period from Mass and Separation
- K3L-Separation from Mass and Period
- Mass from Acceleration and Radius
- Mass from Speed and Separation
- Mass of the Earth As Told By A Pig
- Orbit velocity
- Potential Energy - Point Mass Inside Spherical Shell
- Potential Energy - Point Mass Outside Spherical Shell
- Potential Energy due to Gravitational Attraction
- Potential Energy of 2 Spheres
- Schwarzschild Radius
- Terminal Fall Velocity
- Velocity of a Satellite
- more...

**G (Gravitational Constant) : metric**, is listed in 1 Collection.