Kepler's 2nd Law - page 1 Spacing of the Planets

While discussing Bode's Law is at:

http://en.wikipedia.org/wiki/Titius-Bode_law

I considered using Kepler's 2nd Law but instead of measuring equal time intervals I am measuring EQUAL ANGULAR PORTIONS of his orbital ellipse.

See figure "Kepler's Law Extended 1".

The planets are shown in relationship to their distances from the Sun.
According to Bode' Law these distances double as each planet is sited further from the Sun. If we want to measure the arc for each planet we can partially differentiate the equation of an ellipse to get 2x or 2y. When we differentiate again to get the rate of change the answer is2.

Pluto has a problematic nature. It could be thought of as appearing once or twice as in:

See figure "Kepler's Law Extended 2".

Continued on page 2