Timeline for How to calculate the gravitational binding energy of a uniform cube of length $L$ and mass $M$?

11 events

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Aug 13, 2021 at 22:24	comment	added	uhoh		@patta which reminds me of somewhat related: Another way to evaluate the gravitational force from a uniform cube?
May 14, 2019 at 4:34	answer	added	G. Smith		timeline score: 3
May 14, 2019 at 2:50	comment	added	G. Smith		More accurately, $Q=-0.941156...$.
May 14, 2019 at 0:11	comment	added	G. Smith		The three integrals over either $\mathbf{x}$ or $\mathbf{y}$ can be done analytically to get the gravitational potential of the cube. See arxiv.org/abs/1206.3857. I haven't been able to then integrate this potential over the cube to get the binding energy, but I was able to numerically integrate it and again get -0.941... .
May 13, 2019 at 23:09	comment	added	G. Smith		I did a Monte-Carlo evaluation of $Q$ and found that it is between -0.941 and -0.942.
May 13, 2019 at 16:43	history	edited	Qmechanic♦	CC BY-SA 4.0	edited tags; edited title
S May 13, 2019 at 15:50	history	edited	Rian	CC BY-SA 4.0	Picture instead of link
S May 13, 2019 at 15:50	history	suggested	MarianD	CC BY-SA 4.0	Picture instead of link
May 13, 2019 at 15:31	review	Suggested edits
S May 13, 2019 at 15:50
May 13, 2019 at 15:25	comment	added	patta		In the 21st century, go numerically. Or google it, probably somebody in the 19th century has done it analitycally
May 13, 2019 at 15:18	history	asked	Rian	CC BY-SA 4.0