On your tablet/phone you can hit the full site button, like, then click the mobil link at the bottom to get back to mobil view.I have done that on occasion.
Quote from: alugobi on 04/01/2023 12:46 amEnd of MarchOkay, now you're just teasing me lol.Using my previous method from here: https://forum.nasaspaceflight.com/index.php?topic=58240.msg2466409#msg2466409((b*61/(e^(b) -1))/b)*(e^(b*(1+(31+28+31)/365)) - e^b) = 21., solve for b, gets us to b = ~0.554712 (1/year)A =0.554712*61/(e^(0.554712) -1) = 45.6374897312 launches/year (that being the instantaneous annualized launch rate at Jan 1st, 2022), so, they're on track for:integral(45.6374897312*e^(0.554712*t),t,1,2) = 106.228 launches in 2023. (Note this is better than last time I estimated, where it was hovering around 100 launches in 2023... so they've more than caught up to the rate-of-compounding-improvement needed to meet 100 launches in 2023.)https://www.wolframalpha.com/input?i=integral%2845.6374897312*e%5E%280.554712*t%29%2Ct%2C1%2C2%29This basically just uses the past number of launches in 2022 (61 launches, 365 days), the number of launches (21) and days (31, 28, 31) there as been since the start of 2023, and the idea that the overall launch rate is improving at some compounding rate which fits these data points (which seems reasonable to me, especially compared to just assuming it's a constant value that arbitrarily changes on January 1st). A full least-squares type fit would be better, but this is easier for me as I'm sick of messing with weirdly formatted spreadsheets. (Note in this graph, "1.0" corresponds with the start of 2023, 2.0 with the end of 2023, and the y axis is the instantaneous annual launch rate.)
End of March
import numpy as npfrom scipy.optimize import fsolvefrom scipy.integrate import quaddaysinto2023 = 31+28+31+2timenow = 1+daysinto2023/365 #time in years since Jan 1, 2022print("How many days has it been since the start of 2023:", daysinto2023)launchesnow = 22 #launches that there has been from Jan 1, 2023 until nowprint("How many launches has there been since the start of 2023:", launchesnow)def equation(b,timenow,launchesnow): return (61/(np.exp(b) - 1))*(np.exp(b*(timenow)) - np.exp(b)) - launchesnowb = fsolve(equation, 0.5,args=(timenow,launchesnow))print("b:",b)A = b*61/(np.exp(b) -1)print("A:",A)def integrand(t,A,b): return A*np.exp(b*t)result, error = quad(integrand, 1, 2,args=(A,b))print("The estimated number of launches in 2023:", result)
>python fitexp.pyHow many days has it been since the start of 2023: 92How many launches has there been since the start of 2023: 22b: [0.59424445]A: [44.66012711]The estimated number of launches in 2023: 110.51135940155463
Quote from: Robotbeat on 04/01/2023 01:02 amQuote from: alugobi on 04/01/2023 12:46 amEnd of MarchOkay, now you're just teasing me lol.Using my previous method from here: https://forum.nasaspaceflight.com/index.php?topic=58240.msg2466409#msg2466409((b*61/(e^(b) -1))/b)*(e^(b*(1+(31+28+31)/365)) - e^b) = 21., solve for b, gets us to b = ~0.554712 (1/year)A =0.554712*61/(e^(0.554712) -1) = 45.6374897312 launches/year (that being the instantaneous annualized launch rate at Jan 1st, 2022), so, they're on track for:integral(45.6374897312*e^(0.554712*t),t,1,2) = 106.228 launches in 2023. (Note this is better than last time I estimated, where it was hovering around 100 launches in 2023... so they've more than caught up to the rate-of-compounding-improvement needed to meet 100 launches in 2023.)https://www.wolframalpha.com/input?i=integral%2845.6374897312*e%5E%280.554712*t%29%2Ct%2C1%2C2%29This basically just uses the past number of launches in 2022 (61 launches, 365 days), the number of launches (21) and days (31, 28, 31) there as been since the start of 2023, and the idea that the overall launch rate is improving at some compounding rate which fits these data points (which seems reasonable to me, especially compared to just assuming it's a constant value that arbitrarily changes on January 1st). A full least-squares type fit would be better, but this is easier for me as I'm sick of messing with weirdly formatted spreadsheets. (Note in this graph, "1.0" corresponds with the start of 2023, 2.0 with the end of 2023, and the y axis is the instantaneous annual launch rate.)Okay, updating this so it's just in python (with numpy and scipy libraries), not using WolframAlpha, which has been failing on some of these requests:Quoteimport numpy as npfrom scipy.optimize import fsolvefrom scipy.integrate import quaddaysinto2023 = 31+28+31+2timenow = 1+daysinto2023/365 #time in years since Jan 1, 2022print("How many days has it been since the start of 2023:", daysinto2023)launchesnow = 22 #launches that there has been from Jan 1, 2023 until nowprint("How many launches has there been since the start of 2023:", launchesnow)def equation(b,timenow,launchesnow): return (61/(np.exp(b) - 1))*(np.exp(b*(timenow)) - np.exp(b)) - launchesnowb = fsolve(equation, 0.5,args=(timenow,launchesnow))print("b:",b)A = b*61/(np.exp(b) -1)print("A:",A)def integrand(t,A,b): return A*np.exp(b*t)result, error = quad(integrand, 1, 2,args=(A,b))print("The estimated number of launches in 2023:", result)...gets me:Quote>python fitexp.pyHow many days has it been since the start of 2023: 92How many launches has there been since the start of 2023: 22b: [0.59424445]A: [44.66012711]The estimated number of launches in 2023: 110.51135940155463...with the latest launch today.I promise I won't update this every single launch LOL, but I just wanted to get beyond relying on WolframAlpha.(Note that what I think will happen, now that they're getting ahead of the exponential rate, is that the curve or launch rate will be sort of sigmoid-esque. If they continue increasing in the mid-term, they'll have headroom to level out a bit toward the end of the year. Not that they'll intentionally be slowing down or anything, but I think the transition to Starship will likely entail a deceleration of the launch rate increase for Falcon 9.)
Well JTRI for starlink 5-10 left on the 25th and came back yesterday. So 8 days plus a few more for booster processing. Mileage will vary and CRS SpX-27 did a partial boost back so ASOG would not need to be towed out as far. They mentioned in the webcast it will save them a couple of days on barge cycle time. Not all missions have the extra performance for such a profile. This might be a one off.
Quote from: kevin-rf on 04/03/2023 08:59 amWell JTRI for starlink 5-10 left on the 25th and came back yesterday. So 8 days plus a few more for booster processing. Mileage will vary and CRS SpX-27 did a partial boost back so ASOG would not need to be towed out as far. They mentioned in the webcast it will save them a couple of days on barge cycle time. Not all missions have the extra performance for such a profile. This might be a one off. Regarding the ASDS, there is the ideal cycle times, but then there are things like maintenance cycles, which seem to happen once or twice a year and then there are sea conditions, which have come up.I think a third East Coast ASDS would help alot but is unlikely. Short of that maximizing the RTLS and West Coast flights are essential to the goal.
It's more than that. SLC-40 is already maxed. LC-39A is booked through at least June with Heavy missions, and let's not forget Dragon or Psyche.This essentially throttles the launch rate.We should see an uptick in August and again once Psyche clears the pad in October. LC-39A can match SLC-40's flight rate when it doesn't have payloads that require extra care. SLC-4E has several RTLS mission, they greatly help the flight rate. This April we may even see three RTLS missions in a row. Granted one had slipped from March to April. The pad is already barge maxed for non RTLS missions. So the rate will drop a little months that do not have RTLS missions lined up. The point is, the flight rate for the rest of 2023 is not about curve fitting an efficiency model. It is looking at the missions they have stacked up and see how much they reduce (Heavy Dragons) and improve (RTLS) flight rates. The numbers need to model individually each pad.(I know it won't happen, but I would love to see four SLC-4E missions this month. Transport and Tracking Layer, Sarah 2/3, Transporter, and a Starlink. It's possible, but at least one will slip into May)
Quote from: wannamoonbase on 04/03/2023 02:38 pmQuote from: kevin-rf on 04/03/2023 08:59 amWell JTRI for starlink 5-10 left on the 25th and came back yesterday. So 8 days plus a few more for booster processing. Mileage will vary and CRS SpX-27 did a partial boost back so ASOG would not need to be towed out as far. They mentioned in the webcast it will save them a couple of days on barge cycle time. Not all missions have the extra performance for such a profile. This might be a one off. Regarding the ASDS, there is the ideal cycle times, but then there are things like maintenance cycles, which seem to happen once or twice a year and then there are sea conditions, which have come up.I think a third East Coast ASDS would help alot but is unlikely. Short of that maximizing the RTLS and West Coast flights are essential to the goal.If SpaceX were to activate a third east-coast ASDS, how many additional F9 launches would it enable in its lifetime? Pick some guesses you are comfortable with and then calculate. Here are my guesses.No gain any year with less than about 90 launches/yr, and less than 90-N in years with more than N launches/yr. But the number of F9 launches/yr will decrease when Starship becomes operational and decrease further as Starship become fully operational. This schedule is unknown, so guess: 2023: 91 2024: 100 2025: 60 (SS begins operational flights) 2026: 40 (SS flights increase)This says that a third ASDS will enable less than five additional launches during its lifetime. This does not make economic sense, so it won't be activated.
None of these things are yet at some fundamental turnaround limit. Every limit can be pushed. Get the booster off the barge a little faster. Tow the barge a little faster. Add more RTLS to the mix. Exercise all 3 pads more evenly. …and yeah, do a few Boca Chica flights.There’s plenty there to get to 100 flights this year.
One way to reduce barge cycle time would be unloading at ports further downrange.Charleston, for instance, is roughly half the distance of Port Canaveral from the ~50-55° landing site for CRS/crewed/some Starlink.We saw them do it with the fairing recovery vessels a few times, dropping off at Morehead City for a quick turnaround. Boosters would be a greater logistical challenge but perhaps cheaper than a third ASDS.
The barge is not near its hull speed limit. 8 knots is till enabling for pretty fast turnaround. 600km each way (typical for Starlink) means about 3.5 day turnaround in principle possible per barge even at just 8 knots average speed. That would give a limit of 300 per year for all 3 droneships, not counting RTLS or Boca Chica.So again, I don’t think those are the hard limits we think they are.
Quote from: FLHerne on 04/03/2023 11:51 pmOne way to reduce barge cycle time would be unloading at ports further downrange.Charleston, for instance, is roughly half the distance of Port Canaveral from the ~50-55° landing site for CRS/crewed/some Starlink.We saw them do it with the fairing recovery vessels a few times, dropping off at Morehead City for a quick turnaround. Boosters would be a greater logistical challenge but perhaps cheaper than a third ASDS.That is a super good idea. If you have a lot of boosters but not a lot of droneships, it could pencil out. What is the distance from port of more hood city to where the boosters land? 300km?Halving the time would increase the tempo by a factor of 2 but it means now you need more port loading infrastructure and having to truck the boosters further. Probably would be better to build another droneship, BUT it does give SpaceX some possible flexibility if they need to just crank up the throughput this year. Adding a crane and a booster stand is probably a lot easier than a building another droneship if you are trying to do it in just a few months.… I guess that’s just another advantage to F9 being roadable.