density is not constant, but increases as the planet grows in size, as they are not incompressible bodies. That is why the experimental relationship between surface gravity and mass does not grow as 1/3 but as 1/2:

here with in times Earth's surface gravity and in times Earth's mass. In fact, the exoplanets found fulfilling the former relationship have been found to be rocky planets. Thus, for rocky planets, density grows with mass as .

Gas giants

For gas giant planets such as Jupiter, Saturn, Uranus, and Neptune, surface

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