ThinksMarkedly wrote:By comparing their acceleration improvement to smaller classes designed in the same year we can see that the RMN/GSN ships are still not over the edge of the plateau. But, because that edge is an inflection point in the compensator curve slope we've no way to extrapolate how far it's moved.
Sorry, how do smaller ships tell us anything about the edge of the plateau? By definition, smaller ships are not anywhere near the edge of the plateau.
Short version:
It doesn't tell us where the edge of the plateau is -- but by comparing the relative improvement of small ships to ships above the old 8.5 mton plateau edge we can see that the large ships got effectively the same improvement to acceleration as their smaller counterparts -- whereas if the large ships were beyond the plateau edge they should have a significantly lower percentage boost to their acceleration.
Long background:
Pre-1905 all warships (except LACs
[1]) sat on the same tonnage/acceleration curve (though it seems more like acceleration line segments with infection points at certain tonnage). Way back, with a lot of data fitting work, I got a good enough recreation of that with 5 inflection points (which closely correspond to the MTH table tonnage vs acceleration table) 70 known pre-1905 ships
[2] fit on it to within +/-0.2 gees)
Post-1905 all data points to compensator improvements acting as a simple multiplier, with each generation of improved compensator having its own value that applies to all ships carrying that compensator. To figure out a ship's new acceleration simply take it's pre-1905 acceleration and multiply it by the % improvement of the given compensator generation.
And those improvement both cluster (with multiple ships having, within reasonable rounding error, the same multiple and those ships tending to be designed (if not commissioned) around the same time.
We've got:
Ships with 1.05x the base acceleration [Courvosier BC (1904), Joshua DD (1905)]
Ships with 1.17x the base acceleration [Benjamin the Great SD (1911)
[3], Edward Saganami CA (1908)].
Ships with 1.25x the base acceleration [Harrington SD(P) (1913), Medusa SD(P) (1914), Reliant [flight III-IV] – BC (1915)].
Ships with 1.43x the base acceleration [Harrington II SD(P),
Invictus SD(P), Nike BC(L) (1920),Courvosier II BC(P) (1915), Agamemnon BC(P) (1919), Saganami-B CA (1917), Saganami-C CA (1920), Kamerling SCC (1921), Avalon CL (1919)]
Ships with 1.52x the base acceleration [Wolfhound DD (1919), Roland DD (1920)]
There are 4 classes on that list that exceed the old 8.5 mton edge of the plateau (Benjamin the Great 8.52 mtons, Medusa 8.55 mtons, Harrington II 8.87 mtons, and Invictus 8.77 mtons) and yet all are basically within a rounding error of matching the acceleration improvements of other, smaller, ships designed in the same era (and thus presumably with the same generation of compensator) which is indirect evidence that they're still on this side of the plateau edge.
(Technically the Harrington II and Invictus are 1.42x and the others in that list are closer to 1.45x -- that might hint that the SD(P)s have a non-optimal hull form
[4] and thus aren't quite a quick as you'd expect. Or it could show that they're marginally over the plateau edge and consequently lost 12 gees of acceleration [30,000 tons if the old 1 g per 2,500 tons ratio holds; which it may not] -- note however that if the 8.5 mton edge had held they'd have been 270-280 ktons over; not maybe 30 ktons over)
It's hardly perfect, nor definitive, as it relies on both my original reconstruction of the acceleration 'curve' and applying relatively few modern ships to it by dividing their HoS reported acceleration by my calculation of what their acceleration 'should have been' on the reconstructed curve.
But it provides some slight evidence that the designers likely kept them inside the edge; and thus that it has moved upwards somewhat. But none of this actually lets us know
how much it's moved up.
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[1] And we're told specifically that old-style LACs had weak impellers which limited their performance -- the ones Honor took to Silesia in IEH were the first ones Manticore built that broke that limitation.
[2] Except the Culverin-class DD whose entry in HoS appears to be in error. It's about 28.5 gees high (and noticeably higher than ships 35,000 tons lighter than it -- and likely not coincidently its acceleration in the older Jayne's and SITS books was 28.5 gees lower)
[3] A case where we know their commission was delayed; so their design accel would have been using a pre-delay compensator generation
[4] For example CLAC's are 'fat' -- having a wider beam to draught ratio than most ships and Tom Pope confirmed to me that that's why they're a little slower than their tonnage would imply; which is why I left them off this list