Thursday, September 7, 2023

Yay math

Having written a terrible equation a couple days ago, let's try again. Good ol' SpinCalc actually has a JS file. function calc (what) was giving me gravity = ω * ω * r. If I just integrate r dr then

ρ * ω * ω * r2/2

First up is to see how much pressure this is pushing upon the bottom of the bag:

= 1190 * 0.0712 * 0.0712 * (620 * 620 - 320 * 320) / 2 = 850.6 kN/m2

That is of course before hollowing out empty-space; but later, we'll be increasing the r values as we acclimatise our crew so - figure 850 kN/m2 for a maximal strain, which we work with, as we perfect the habitat.

As a bonus we also get the tangential-velocity at the bottom of this 620m motheaten donut: 44.15 m/s. Useful for delta-V calcs.

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