Belial666 wrote:I wonder...
If a Roland can control 40 CMs simultaneously, does it mean that an SD-sized ship that's 50 times as big as a Roland could control 2000 if it dedicated the same kind of mass into defense?
Of course, by using its Keyholes, an Invictus could control seven full CM launches, which comes at 850+, and even a KH2 is smaller than a Roland - so fire control takes now a lot less space than it used to.
Vince wrote:I don't think so. If what you mean by making an SD-sized ship that's 50 times as big as a Roland is really making an SD-sized ship that's 50 times as long as a Roland, maybe.
But ships in the real world, as well as the Honorverse, don't scale that way. Making something bigger means all 3 dimensions of height (draught), width (beam) and length, not just length.
JeffEngel wrote:Granted. And that will have an effect on some aspects of performance, for better or for worse - granted, insisted even. What effect does it have on fire control capacity though? (I ask in pure curiosity; I have no dog in this hunt, I mean to defend no position.)
Vince wrote:The fire control transceivers are mounted on the surface area of the ship (at least for light-speed controlled missiles, Apollo might follow different rules). Change the length by increasing it 50 times will increase the surface area of the ship by the same amount. But if you increase the total volume by 50 times, you will not just change the length, but the draught and beam as well.
Since the Honorverse ships are somewhat cylinder shaped, you can use the equations of a cylinder to determine approximately what the volume/surface area is for them.
I'll post back the numbers later (have to go), or you can run them yourself.
Update -- Here are the numbers for anyone who wants them:
From House of Steel:
Roland-class destroyer
Dimensions: 446 x 54 x 45 m
Since we are using a cylinder for approximating surface area, assume a diameter of 50m. This gives a radius of 25m.
Surface area of a cylinder:
A = length * (2 * pi * radius)
Surface area of Roland = 70,058 m^2
Increasing the size of the Roland by 50 times. If we just increase length by 50, the surface area increases by the same factor of 50:
Long Roland surface area = 3,502,900 m^2
But Honorverse and real world ships don't scale that way. If we increase the total volume of a Roland by 50, but increase each dimension by the same multiplier (not 50), not just the length:
Since each dimension increases by the same amount take the cube root of 50 = 3.7 for the actual multiplier.
Now applying the multiplier and solving to find the surface area of Big Roland:
A = 1,650 * (2 * pi * 93)
Big Roland surface area equals = 964,155 m^2
Comparing the surface area of Roland to Big Roland:
B = R * x
964,155 m^2 = 70,058 m^2 * x
x = 14
Comparing the surface area of Roland to Long Roland:
L = R * x
3,502,900 m^2 = 70,058 m^2* x
x = 50
Comparing the surface area of Big Roland to Long Roland:
L = B * x
3,502,900 m^2 = 964,155 m^2 * x
x = 3.6
Note that a long Roland would increase the surface area of a Roland by 50 times, while a Big Roland would have its surface area increased by only 14 times, compared to the Roland. And a Long Roland would have approximately 3.6 times the surface area of a Big Roland. This is somewhat of an example of the
square-cube law (this law is what David first overlooked, which lead to the Great Resizing).
Notes: By transcievers what I meant was the lightspeed tranmitting/receiving antenna (don't know about Apollo) which have to mounted on the exterior surface. As others have pointed out downthread since my last post in this thread, RFC is using a model for fire-control links that is similar to circuit switching (where one fire-control link controls one missile or control missile) rather than packet switching (where information is single/multi/broad-cast and only the recipient(s) to which it is addressed act on it).
Remember when David started writing about the Honorverse (On Basilisk Station has a copyright date of 1993, and a first hardcover printing date of 1999), home computers that could actually be used by an average consumer didn't come out until 1977 with the Apple II. The very first hard drive for microcomputers came out in 1979 (and was an expensive upgrade). The original IBM PC came out in 1981, as did the first portable (luggable) computer the Osborne I (IIRC David used one of these, or a very similar model). The Macintosh came out in 1984, with the first WIMP (Windows, Icons, Mouse, Pointer) interface that was commercially successful. The World Wide Web part of the Internet wasn't open to the public until 1991, only 2 years after it had been invented. Linotype machines were still used by printers (David was a Linotype operator before he turned to other pursuits). So remember that the technology in the Honorverse, while well advanced in some areas, is subject to Technology Marching On or even Zeerust.