TitiusBode Law
Gregory first expounded on this relationship in 1715.
Bode added additional insight 1772.
Write down first 0, then 3, and keep doubling the previous number: 6, 12, 24, 48 etc. Now add 4 to each number to get the series 4, 7, 10, 16, 28 and so on. Then divide each number by 10. The result .4, .7, 1.0, etc. give the approximate radii of the planetary orbits in astronomical units.
Planet  Distance  Distance

Bode's Law  Actual  Mean

Mercury  .4  .39 
Venus  .7  .72 
Earth  1.0  1.0 
Mars  1.6  1.52 
Asteroids  2.8   
Jupiter  5.2  5.2 
Saturn  10.0  9.54 
Uranus  19.6  19.2 
Neptune  38.8  30.6 
Pluto  77.2  39.4 
See Also