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An introduction to functional analysis for science and engineering

Just for fun and self education, I&#x27;ve built this over a weekend to teach myself why orbits exist, not just show planets going around. Something that was never clearly explain to me in school. 
It opens with a guided tour that builds the idea up step by step: two bodies and the equal&#x2F;opposite force, inertia (the Sun is removed and Earth just drifts straight), then &quot;an orbit is falling and continuously missing,&quot; cosmic velocities with a little rocket, Voyager 1 &amp; 2&#x27;s real gravity assists (the clock runs the actual 1977–1989 dates so the planets orbit into their grand-tour alignment and the slingshots line up), and it ends on Einstein — gravity as curved spacetime, the classic rubber-sheet well.
What&#x27;s real: every body uses its real radius&#x2F;mass and J2000 orbital elements; positions come from solving Kepler&#x27;s equation each frame. You can toggle to an N-body mode (symplectic leapfrog) that shows live energy drift (~1e-6%) so you can see the integrator is honest. The only thing faked is scale — at true scale you can&#x27;t see anything — so there&#x27;s a toggle between true scale and a log-remapped &quot;visual&quot; scale, with physics always running in real AU.
Tech: TypeScript + Three.js + Vite, fully client-side, no backend, works offline (surface textures are generated procedurally from value-noise; only Earth uses a real image). Source: <a href="https:&#x2F;&#x2F;github.com&#x2F;qunabu&#x2F;Gravity" rel="nofollow">https:&#x2F;&#x2F;github.com&#x2F;qunabu&#x2F;Gravity</a>Happy to answer questions — and feedback on the physics or the explanations is very welcome. This project might be totally inaccurate in terms of real physics, this is how i do understand this on my own - i&#x27;m happy to confront this with reality

Show HN: Gravity – interactive solar-system simulator, from Newton to Einstein

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Hello HN,I&#x27;ve been working on a simple OS for tinkering and running bare metal apps on vintage PCs.Since I couldn&#x27;t quite decide whether to target pure 16-bit, or slightly more capable 32-bit machines, I ended up with two separate versions:- GentleOS&#x2F;32 (<a href="https:&#x2F;&#x2F;github.com&#x2F;luke8086&#x2F;gentleos32" rel="nofollow">https:&#x2F;&#x2F;github.com&#x2F;luke8086&#x2F;gentleos32</a>) works on i386+, requires 4MB of RAM and VGA display supporting 640x480x16 mode or any 256-color VESA mode.- GentleOS&#x2F;16 (<a href="https:&#x2F;&#x2F;github.com&#x2F;luke8086&#x2F;gentleos" rel="nofollow">https:&#x2F;&#x2F;github.com&#x2F;luke8086&#x2F;gentleos</a>) works on 80186+, requires less than 192KB of RAM and a CGA display supporting 320x200x4 mode.You can find more details in the repos.

Show HN: GentleOS – A pair of hobby OSes for vintage 32-bit and 16-bit PCs

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