We are revisiting Bode's Law as both Ceres and 2003 UB 313 'Eris' are having their status changed by the International Astronomical Union. Essentially Bode's Law discovered in 1766 by Daniel Titius and published in 1772 by Johann Elert Bode, says that the semi-major axis of the planet graphed against its planet number is exponential in nature. That is, the logarithm of the semi-major axis versus the planet number (now 1 to 11) is a straight line. But is this true? Below are the planetary distances and their logarithm values.

Name Number    Distance    Logarithm  Least Square    Recomputed  Standard
         N   kilometers     Distance  of Logarithm     distances     Error

Mercury  1     57909175  17.87438639   17.83735485      55803930   -0.0364
Venus    2    108208930  18.49957445   18.36764570      94834678   -0.1236
Earth    3    149597890  18.82346152   18.89793655     161164566    0.0773
Mars     4    227936640  19.24457825   19.42822740     273887338    0.2016
Ceres    5    413937362  19.84122522   19.95851826     465451406    0.1244
Jupiter  6    778412020  20.47276653   20.48880911     791000463    0.0162
Saturn   7   1426725400  21.07864773   21.01909996    1344247163   -0.0578
Uranus   8   2870972200  21.77791656   21.54939082    2284449278   -0.2043
Neptune  9   4498252900  22.22695491   22.07968167    3882253686   -0.1369
Pluto   10   5906380000  22.49929896   22.60997252    6597604871    0.1170
Eris    11  10123139618  23.03808969   23.14026337   11212144685    0.1076
          

Restated Bode's law is Distance in Km = e ^(0.5303 N + 17.3071) Below is the graph of the logarithm of the distance versus planet number. It looks close to a straight line, so I would say that Titius and Bode got it right.