`G = 6.67384*10^-11 (N * m^2)/(kg^2) `

6.67384E-11

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:

               F=(G•m₁•m₂)/D²

where:

• G is the universal gravity constant
• m₁ is the mass of the first object
• m₂ is the mass of the second object
• D is the distance between them.

The Mass of the Earth is 5.97219x10²⁴ 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)
  • (M) - mass of the system. 
  • (T) - period of the orbit.
  • (R) - separation distance between the two objects.
  • (G) - universal gravity constant
• Small Angle Formula  Small Angle Formula    α = S / D
  • (α) - angle
  • (D) - distance to astronomical object
  • (S) - size or diameter of astronomical object
• Flux and Magnitude formulas
  • Change in Magnitude from Flux Ratio
  • Flux Ratio from Magnitudes
• Telescope formulas
  • Resolving Power of a Telescope
  • Magnification of a Telescope
• Mass formulas
  • Mass from Luminosity
  • Mass from Acceleration and Radius
  • Mass from Speed and Separation
  • Mass of extra-solar planet from mass of star, radius of star orbit and radius of exoplanet orbit
  • Mass of extra-solar planet from mass and velocity of star and velocity of planet
• Relative Size Formulas
  • Relative Size from Relative Temperature and Luminosity
  • Relative Temperature from Relative Size and Luminosity
  • Relative Luminosity from Relative Temperature and Size
• Wavelength Formulas
  • Velocity from shift in Wavelength and Unshifted Wavelength
  • Wavelength Shift from Wavelength and Speed
  • Blackbody Wavelength from Temperature
  • Blackbody Temperature from Peak Wavelength
  • Photon Energy from Wavelength
  • Photon Wavelength from Energy
• Luminosity and other Formulas
  • Distance from absolute and apparent magnitude
  • Radius from Speed and Period
  • Speed of Circular Motion
  • Hubble Time
  • Luminosity from Mass

Related Astro Calculators:

• Kepler's 3^rd Law Calc has Kepler's 3^rd law solved for each parameter.
• Astronomy Calculator contains basic formulas for a college level Introduction to Astronomy
• Exoplanet Calculator contains formulas for studying planets outside of our Solar System.
• Astronomical Distance Calculator provides the distance from the Earth to numerous astronomical bodies (e.g. Sun, Moon, planets, stars, Milky Way's Center and Edge, Andromeda Galaxy)
• Astronomical Distance Travel Time Calculator computes the time to travel to distant parts of space at different velocities.
• Ellipse Calculator
• 3D Vector Calculator:
• Drake Equation Calculator
• Seager Equation Calculator
• Friedman Equation Calculator
• Exoplanet Calculator contains formulas for studying planets outside of our Solar System.
• Astronomical Distance Calculator provides the distance from the Earth to numerous astronomical bodies (e.g. Sun, Moon, planets, stars, Milky Way's Center and Edge, Andromeda Galaxy)
• Astronomical Distance Travel Time Calculator computes the time to travel to distant parts of space at different velocities.
• Radius of Perigee
• Radius of Apogee