PlutonianEmpire, so. The digits like 0.00181640625 are excessive and I reduced them to 0.0018 format. I can't read the Celestia code, all values are different and foreign for my sight. But the result of your code is something very similar to Earth and Neptune atmospheres. Colors are in these strings:
RayleighBeta (0.0058, 0.0135, 0.0331) - color of stratosphere
MieScaBeta (0.0007, 0.0049, 0.0859) - color of lower atmosphere and light on the ground
MieExtBeta (0.0007, 0.0004, 0.0085) - color of a strip above the horizon, partially influences the dawn (in this string colors are weirdly inverted by hue function, don't know why but that's a fact)
The 1st string is exactly same as in Earth and Neptune code. The 2nd says make it dang blue. The 3rd has insignificant value of green. In total this is just a simple blue sky, nothing special.
Actually, taking your .atm model that you generated with my code, it looks like it's exactly what I was looking for, a hybrid of Earth and Neptune models. It has the pink-ish horizon hues as the Neptune model, but with a LOT less haziness, and the sunset colors are also a hybrid of Earth and Neptune, especially with the Hue and Saturation values already provided in Belle Hades' planet code. Thank you!

Specs: STGAubron desktop PC; NVIDIA GeForce RTX 3060/PCIe/SSE2 12 GB Vram, Intel Core i7-8700 3.2 GHz, 12 cpus; 32 GB RAM; Windows 11 x64