
Under constant acceleration, time to cover a distance scales by square root of the distance. This image attempts to visualise space under this paradigm.
The Sun is the origin for the planets, and the planets are the origin for their satellites. Radius of each body is also in square-root scale (from its center). All bodies with diameter of 1000 km or higher are shown (didn't do Saturn's rings). The positions of the planets are from https://eyes.nasa.gov/apps/solar-system/#/home from yesterday, and something similar for the satellites as well. Minor inaccuracies at the pixel level because I did this manually.
Was working on this to figure out useful visualisations for some inter-stellar science fiction I am working on, but this particular visualisation has some scientific basis to it (t ∝ √d), and I am surprised I haven't seen anyone ever use this visualisation. Am I missing something? Why wouldn't someone have thought up something like this?
Also working on cube-root and 4th-root, etc. visualisations but they don't have any scientific meaning to them. They just look cool, cube-root especially for the planetary systems.
by thauyxs

2 Comments
Distance from the Earth to the planets or from then Sun to the planets?
It would be a lot more useful if the planets were in a single line.