My next step was to implement changes. The first thing I did was give the sun a texture to look sun-like. I gave Earth a texture to mimic waves, since the planet is blue because of water. I tried to give Jupiter and Mars more realistic textures, but they didn't turn out so great. Next, I adjusted the planets' orbits to scale to how far (in degrees) each planet moves over the course of two Earth years. Of course, the planets still move in a circular orbit rather than an elliptical one, so this isn't entirely accurate, but now, for example, Mercury makes 8 rotations around the sun in the time Earth makes 2 rotations. Finally, I adjusted each planet's individual rotation around its own axis. They are scaled to the course of 4 earth days.
Here is a video showing Jupiter's rotation around its own axis, as scaled to 4 Earth days:
Here is a video showing Mars's rotation around its own axis, as scaled to 4 earth days. Mars's days are only one hour longer than Earth's, so the rotational amount is comparable (I included a video of Mars rather than Earth for ease of visualization).
This is my final product:
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