Hey, I saw your comments have been downvoted to death for literally no apparent reason so I had to intervene.

HN has become incredibly hostile and toxic to the very audience it created it in the first place (builders, creators, hackers)[1]. I think it's a severe case of envy, "uncs" (lmao) who didn't accomplish anything in their lives feeling left behind now that anyone with a computer can do their "magic". The hard truth is that they were always behind, but they are just realizing it now, sad.

So, my advice to you, particularly since you're young, ignore the naysayers. Burn that into your mind, ignore the naysayers. Just do your thing, enjoy life, keep shipping cool stuff!

Personally I think your site is great, it looks great as well, great taste w/ the choice of colors/layout etc. I was wondering about the accuracy of this, as RK4 is "good enough" but I didn't think it was this good. I saw your section at the end of the site on this, pretty impressive. Your site is solid on the theory and also the presentation, rarely you see such good execution. Congrats, man!

1: Btw, I ran the numbers and engagement is going down. It's going the way of StackOverflow, and for the same fundamental reasons.

Thank you, genuinely. This means a lot, especially coming from someone who actually read through the methodology.

On the RK4 accuracy: it surprised me too, honestly. The 412 km RMS against JPL Horizons over 50 years came from combining adaptive timestep (the integrator tightens to ~0.001 days near perihelion) with the full N-body perturbation chain: Sun, Jupiter, Saturn, Uranus, Neptune. Most of the residual error is from ignoring relativistic corrections and non-gravitational forces, which I document as known limitations.

As for the naysayers: noted. Shipping is the answer.