Hmmm... ribs.
Anyway, where were we...?
Imagine we have a fuck hewg rocket. 1289 tons worth to be exact, in an SSTO configuration.
- All up - 1289 tons
- fuel total - 1109 tons
- Dry mass - 186.5
- 4 titans
- 3 Frontiers
So, if we press launch on this, we'd have
- TWR - 1.21
- ISP - 252.79 seconds
- Burn time - 177 seconds
- Dv - 4789.32m/s
Right. what
Mooncrasher wants to do is sequentially turn off the Titans to increase its efficiency. And he is absolutely right.
Turning 2 of them off gives you a ISP of 258.13 seconds. Turning off the last pair brings that up to 285.71 seconds.
The problem with that, as Mooncrasher also rightly put it, is TWR. The Titans are generating 4/5ths of the overall thrust and just turning them off willy nilly is going to book you a crash course with the planet.
So. When to turn them off?
Now that involves a fair amount of maths, a bit of trial and error. Luckily for you good souls, my spreadsheet has a trial and error page that allows theoretical flights like this without much hassle.
So, as the rocket passes 68% fuel (that's 56.9 seconds into the flight, having burnt 352 tons and used 792.26m/s of Dv), you've lightened the rocket
just enough to be able to turn off the outer most Titans.
Lets do the comparison then.
Say we continue on as normal, without shutting down the Titans (flight plan A)).
- Thrust - 15360 kN
- TWR - 1.67
- ISP - As above)
- Remaining fuel - 749.2 tons
- Consumption - 6.2 tons per second
- Remaining burn time - 120.9 seconds
- Dv - 3997.06 m/s
Or, we shut them down (Flight plan B).
- Thrust - 9360 kN
- TWR - 1.02 (like I said, just)
- ISP - 258.13 m/s
- Remaining fuel - As above
- Consumption - 3.7 tons/second
- Remaining burn time - 202.6 seconds
- Dv - 4081.46 m/s
As you can see, we've gained an extra 84.4 m/s just by turning them off at the right time.
What about that last pair then? Lets keep going.
So, to turn off those last Titans, we're gonna need to go right down to 14% fuel (154.35 tons left)
Again, lets compare.
Plan A (4 titans, 3 Frontiers throughout).
- Thrust - Still 15360 kN
- TWR - 4.59
- ISP - Still 252.79 Seconds
- Remaining fuel - 154.35 tons
- Consumption - 6.2 tons/Sec
- Remaining burn time - 24.89 seconds
- Dv remaining - 1493m/s
or
Plan B (dropping from 2 Titans and 3 frontiers to just the 3 frontiers)
- Thrust - 3360 kN
- TWR - 1.005
- ISP - 285.71 seconds
- Remaining fuel - 154.36 tons
- Consumption - 1.2 tons
- Remaining burn time - 128.63 seconds
- Dv remaining - 1688m/s.
We gain another 195 m/s again just for turning off the last Titans. Interestingly if we left just those pair on, the Dv for that last part is 1525.55m/s. The reason for the huge jump is because of the huge jump in efficiency because we're no longer using the thirsty titans anymore.
All that ^^^ waffle means that by turning off your less efficient engines at the right times (in this instance) raises your Dv from 4789.32 to 5068.72m/s and is the more efficient way of using your SSTO.
Next. Boosters and how fat-shaming your rocket into losing weight makes it more efficient in flight.