Free Planet Density Calculator

Calculate the mean bulk density of a planet from its mass and radius: rho = 3 M / (4 pi R^3).

kg
m

Mean Density

5,513.26 kg/m3

Density (g/cm3)5.5133 g/cm3

Mean Density vs Planet Mass

Mean Bulk Density of a Planet

The average density is found by dividing the total mass by the total volume.

Formula

rho = M / V = 3M / (4 pi R cubed)

Density helps distinguish rocky planets (about 5 g/cm3) from gas giants (about 1 g/cm3). Earth's mean density is about 5.51 g/cm3.

Example Calculation

Earth: M = 5.972e24 kg, R = 6.371e6 m.

  1. 01rho = 3M / (4 pi R cubed)
  2. 02R cubed = (6.371e6)^3 = 2.586e20
  3. 034 pi R cubed = 3.254e21
  4. 04rho = 3 * 5.972e24 / 3.254e21
  5. 05rho = 5 504 kg/m3 = 5.50 g/cm3

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