sga

probably the joke is that in simulations you have a lot of parameters, so even though code is same, not all of them would result in physically realistic situations. or your params were so bad that you ran out of memory or processes killed your system or shit, so even convergence bit works.

also, uranium’s half life is 700 million years, so we expect (207/235)*7.5 (of lead) + 7.5 (uranium) ~ 14.106382978723405 lump.

also, a lot of the helium produced will remain trapped inside (most heavy metal lumps act as sponges for little gasses). but 700 mil years is also a large amount of time, so much of it would diffuse out. I could checkup diffusion statistics for he d pb-u but i would have to probably do a double integral (as pb-u combination is not fixed, and we can not simply do the error function calculation), so skipping that. but it is safe to say that we will have a lump of ~50% U, 44% pb, and 6% He (by mass), and a significant amount of he will remain in

well vectors and matrices are both tensors, so and iirc, while writing by hand, we use lines to denote dimesions (1 and 2 respectively), and we use bold while typing

well i have learnt something, thanks. i usually just unitalicise names (so here, that would be moon and me, but not N, kg, m). I have seen units italicised a lot (professor notes, even papers), so i assumed it was accepted. i have seen normal ones too, and bold also (that is usually for vector quantities i think).

if i remeber correctly, it just slings most of fast moving things around (roughly equally in all direction), and only slow moving things actually hit it.

slung out of the system.

that seems a bit too strong for jupiter, that seems more like suns behaviour

Jupiter’s pull is so great, compared to earth, that the ones that do get past or then pulled more towards the sun.

this seems correct.

but i have not actually done any courses on celestial mechanics, and mostly basing on yt videos that i watch, so you maybe are correct on this one.

but jupiter also slings a lot towards earth too

they kinda are not. it is most likely typeset in latex, where in equation mode all letters by default get italicised. and it is kinda accpeted as appropriate typesetting.