The law is this: If we write a series of 4's, add 3 to the second, 6 to the third, 12 to the fourth, etc., doubling the amount added each time, the resulting series of numbers is a very close approximation to the relative distances of the planets from the Sun with the exception of Neptune. Thus, to illustrate:
Mercury Venus Earth Mars Asteroids Jupiter Saturn Uranus Neptune
4 4 4 4 4 4 4 4 4
.. 3 6 12 24 48 96 192 384
4 7 10 16 28 52 100 196 388