I'm going to link a post by Sayle to remind people about the limitations of Extended Length, actually. Quoting Sayle's post directly, assuming we were porting our nacelles onto the Sagarmatha, the
best case scenario is efficient cruise at 5.8, maximum cruise at 6.4, and a sprint of 7. Which is no faster at maximum warp than a design that is at this point approximately
two decades old (the Type 2 nacelle first debuted with the Curiosity-class of 2164). And that's assuming we get perfect results on
every single prototype roll in this nacelle project. The worst case has the "new" baseline be efficient cruise at 5.6, maximum cruise at 6.1, and a sprint of
6.6. That is slower than the old baseline, and a functionally negligible increase over every other statistic even if every ship we build gives the option to increase maximum warp by 0.4.
Assuming we account for how nacelle placement can alter performance characteristics:
Extended Length Nacelles
Best Case | Worst Case |
Efficient Cruise: 5.8 - 6.2 (up to 0.4 increase from nacelle placement when cruise optimized) | Efficient Cruise: 5.6 - 6 (up to 0.4 increase from nacelle placement when cruise optimized) |
Maximum Cruise: 6.4 - 6.6 (up to 0.2 increase from nacelle placement) | Maximum Cruise: 6.1 - 6.3 (up to 0.2 increase from nacelle placement) |
Maximum Warp: 7 - 7.4 (up to 0.4 increase from nacelle placement when sprint optimized) | Maximum Warp: 6.6 - 7 (up to 0.4 increase from nacelle placement when sprint optimized) |
By contrast, here's that same table for standard length nacelles.
Standard Length Nacelles
Best Case | Worst Case |
Efficient Cruise: 5.2 - 5.6 (up to 0.4 increase from nacelle placement when cruise optimized) | Efficient Cruise: 5 - 5.4 (up to 0.4 increase from nacelle placement when cruise optimized) |
Maximum Cruise: 6.3 - 6.5 (up to 0.2 increase from nacelle placement) | Maximum Cruise: 6 - 6.2 (up to 0.2 increase from nacelle placement) |
Maximum Warp: 7.4 - 7.8 (up to 0.4 increase from nacelle placement when sprint optimized) | Maximum Warp: 7 - 7.4 (up to 0.4 increase from nacelle placement when sprint optimized) |
I think you should really think about the implications of this post.
Ah, no, actually, right now we're not in a Starfleet ship design bureau. Right now we're in a Federation warp drive bureau. We need to consider more than just Starfleet.
Yes, I can, actually! Well, sort of.
I revisited some old spreadsheets with updated numbers, and the mean response time to a incident at a given distance converges to about a 4.7% increase with the extended nacelles as the volume of space being considered increases. (Obviously, the short nacelles have a more significant edge at short ranges.)
However, the average distance to a randomly-located incident from the closest of five randomly-located starships decreases by about 4.2% versus having four randomly-located starships. The net of a 4.2% shorter distance and 4.7% slower travel is *drumroll* a whopping 3% increase in average emergency response time. That's about five hours a week.
Given the exponential rates at which industry and economies advance, it is in my opinion an extremely conservative assumption that a twenty-four percent across-the-board boost to interstellar logistics will only result in a an additional twenty-five percent ships worth of budget over the next forty or fifty years. I would be honestly surprised if it's less than half again as much- which would put us at an average of 8.1% closer to a random incident, with an average response time converging towards 3.8% faster emergency response times with extended nacelles.
And also, you know, the benefits of our next-gen explorers- even assuming strictly equal numbers of hulls, which again I do not believe to be a valid assumption- covering 16% more distance per year, with 42% more time spent on location actually exploring- surveying, diplomatizing, etc.- per year, assuming identical itineraries and stopover durations, by just spending that much less of their year in transit.
Even if you straight up don't believe me about there being any economic benefit whatsoever, I have no idea how people are valuing four point seven percent emergency response over more than forty percent science and diplomacy and surveying accomplished. Over decades.
But to give a brief idea, using worst case numbers and a vessel responding to an emergency on Vulcan after a given departure from earth:
Duration | Time from departure (Days) | Distance from departure (ly) | Cruise | Sustainable | Max
Extended Worst Case: 30.96 | 7.00 | 3.02 | 5.405.90 | 6.40
Extended Worst Case: 32.59 | 14.00 | 6.04 | 5.405.90 | 6.40
Extended Worst Case: 34.22 | 21.00 | 9.06 | 5.405.90 | 6.40
Standard Worst Case: 30.83 | 7.00 | 2.40 | 5.00| 6.00 | 7.00
Standard Worst Case: 33.78 | 14.00 | 4.79 | 5.00 | 6.00 | 7.00
Standard Worst Case: 36.73 | 21.00 | 7.19 | 5.00 | 6.00 | 7.00
Extended Best Case: 27.11 | 7.00 | 3.37| 5.60 | 6.20 | 6.80
Extended Best Case: 28.95 | 14.00 | 6.74 | 5.60 | 6.20 | 6.80
Extended Best Case: 30.80 | 21.00 | 10.10 | 5.60 | 6.20 | 6.80
Standard Best Case: 27.15 | 7.00 | 2.70 | 5.20 | 6.30 | 7.40
Standard Best Case: 30.21 | 14.00 | 5.39 | 5.20 | 6.30 | 7.40
Standard Best Case: 33.28 | 21.00 | 8.09 | 5.20 | 6.30 | 7.40
Extended Sagmaratha Best: 24.76 | 7.00 | 3.74 | 5.80 | 6.40 | 7.00
Extended Sagmaratha Best: 26.55 | 14.00 | 7.48 | 5.80 | 6.40 | 7.00
Extended Sagmaratha Best: 28.34 | 21.00 | 11.23 | 5.80 | 6.40 | 7.00
Standard Sagmaratha Best: 24.92 | 7.00 | 3.02 | 5.40 | 6.50 | 7.60
Standard Sagmaratha Best: 27.90 | 14.00 | 6.04 | 5.40 | 6.50 | 7.60
Standard Sagmaratha Best: 30.89 | 21.00 | 9.06 | 5.40 | 6.50 | 7.60
(sorry for the formatting, best I could do on the phone while dealing with 2 hungry babies)
Basically faster cruise will have more ships closer to the event on average, reducing the amount of time they need to spend at max sustainable warp. So you get shorter response times and better coverage on average.