Twisty's Theory on Planetary Densities

As an amateur to astrophysics, I had hoped to find something in all of this raw data that is made available about the planets in our Solar System. When this study branched into the Densities of local bodies, my investigation took a startling turn...

It was quickly apparent that the Earth is actually the most dense body in our solar system. This struck me as significant, for life is only known to exist on this here rock (while others will contend this), and even life on this planet becomes less tenable on the higher altitudes of its surface. Furthermore, the least dense planet in our Solar System is believed to be Saturn, which is well known for its splendid rings and is possibly the greatest spectacle of the planets. I can't help but think that it could not possess such beauty if it were not for its lightness of density. (A body of greater density would 'sphere up' more, finding less surface area per mass.)

Probing deeper, I decided that I should seek a mathematical correlation between the densities of the planets. I was momentarily disappointed to learn that Mercury is the second most dense body in our system. This broke up the idea that a linear correlation existed between the planets. Yet I was amazed to find a unique correlation between the most dense (us) and least dense (Saturn) planets, and each planet in between.

	Diameter (km)	Mass (kg)	Density (D=mass/vol) (in kg per cubic km)	Orbital Distance (km)	Orbital Distance Earth-relative dplanet/dEarth	Density times Distance "D*d" (kg*kmorbit / kmVol3)
Mercury	4878	3.30000e+23	5.4299e+12	57900000	0.3870321	2.102e+12
Venus	12104	4.87000e+24	5.2450e+12	108200000	0.723262	3.793e+12
Earth	12742	5.98000e+24	5.5206e+12	149600000	1	5.521e+12
Mars	6794	6.42000e+23	3.9098e+12	227900000	1.5233957	5.956e+12
Ceres(ast)	974	1.17e+21	2.4183e+12	413900000	2.7667112	6.691e+12
Jupiter	142796	1.90000e+27	1.2463e+12	778300000	5.2025401	6.484e+12
Saturn	120000	5.69000e+26	6.2888e+11	1427000000	9.5387701	5.999e+12
Uranus	56460	8.69000e+25	9.2214e+11	2871000000	19.191176	1.770e+13
Neptune	48600	1.02000e+26	1.6970e+12	4497100000	30.060829	5.101e+13
Pluto	2250	1.31000e+22	2.1965e+12	5914000000	39.532086	8.683e+13

As one can see, the product of a planet's Density and its Orbital Distance from the Sun shows a most curious relationship. That product is within 8% of each other for each of those four adjacent planets. This is still true of five 'planets' if you even throw in Ceres, an asteroid between Mars and Jupiter which is believed to contain roughly half of the asteroidal mass within our Solar System!