Perhaps the elegance would be better illustrated if the planets were shown to move in elliptical rather than circular orbits - this of course was the primary historical difficulty in understanding planetary motion
Most of them are not that elliptical. When put to scale, they difference is almost negligible. For example Mercury has a 23.8Gm difference (51.7%) which sounds like a lot but that's 4 times less than Neptune's 80Gm difference (1.79%) and only 0.5% of Neptune's distance.
* Mercury max 69.8 Gm :: 46.0 Gm :: 51.7%
* Venus max 108.9 Gm :: min 107.5 Gm :: 1.30%
* Earth max 152.1 Gm :: min 147.1 Gm :: 3.40%
* Mars max 249.2 Gm :: min 206.7 Gm :: 20.6%
* Jupiter max 816.0 Gm :: min 740.6 Gm :: 10.2%
* Saturn max 1,509 Gm :: min 1,350 Gm :: 11.8%
* Uranus max 3,008 Gm :: min 2,742 Gm :: 9.70%
* Neptune max 4,540 Gm :: min 4,460 Gm :: 1.79%