Log 10 scale model of the solar system?

[Nicholas Chandler-Yates]

I am wondering if anyone has ever seen a log scale diagram of the solar system. By this I mean the orbits of the planets at distances in a log base 10 scale from the sun in a top down view.
I suspect it has not been done or at least it hasn't been uploaded to the internet at any time as i have looked pretty thoroughly.
I'd like to make one but am having a bit of trouble translating the elliptical orbits to log scale. If anyone has seen such a diagram or could assist in making one, please let me know.
the purpose is to produce a diagram in which the entirety of the solar system orbits can be seen easily but is still scientifically accurate.
thanks for any help.

 

[Esotera]

There are a few images out there on google but it's hard to say what they're what you want as there's a million ways to do this. One of the top results is a Maple program that looks the best at illustrating this.

If you did decide to do this yourself, wikipedia would be a great start as it has all the information on orbit eccentricities and distance. For a really simple model, you could assume that all orbits have no eccentricity, log their average orbit, and display that by drawing circles at the measured points. Beyond that I'm not sure off the top off my head how you'd calculate it, although it must be possible judging by simulations such as this [http://arachnoid.com/orbital_dynamics/index.html].