If we assume for the sake of illustration that the densities of all planets are identical, then the law which expresses the critical velocity for each planet can be readily stated.
"The Story of the Heavens"
Robert Stawell Ball
If the volumes of gases vary as above, it is evident that their vapor densities must vary inversely.
"An Introduction to Chemical Science"
R.P. Williams
The cube roots of the densities of the planets are as the square roots of their periods of rotation.
"A Budget of Paradoxes, Volume II (of II)"
Augustus de Morgan