I've been giving a little more thought to the question of Falcon-9 VTVL. For now I've concentrated on the problem of the 1st stage.
A FEW RELEVANT NUMBERS WE KNOW:
From Falcon 9 first 2 launches:
- 1) The separation of stages 1 and 2 happened at 100-120 km of altitude.
2) At that moment their inertial speed was ~3.2 km/s.
3) Total thrust at lift-off was 4.94 MN (vacuum, about 10% less at sea level, or ~4.45 MN).
4) Merlin 1C engines have an Isp at sea level of ~275 s.
5) Falcon-9 total mass at launch was 333.4 t (metric), and just before separation about 59 t (my estimation).
6) The 1st flight 1st stage crashed at 32 deg 07' N, 69 deg 15' W, 1150 km from Cape Canaveral, 400 km short of Bermuda.
WHAT THEY AIM FOR:
From their video looks that SpaceX is aiming to a flight profile a bit like this one for the Rossiyanka rocket, but with the first separation at higher altitude and speed:
http://forum.nasaspaceflight.com/index. ... 5157;image
WHAT THEY NEED:
- 1st: They need delta-v enough for decelerating the 1st stage after separation, and for power-landing. How much depends on the details.
2nd: Maneuvering capability. That should not be a very tough problem given the low mass of the 1st stage after separation, although it will make it heavier (thrusters) and more expensive (thrusters + avionics).
3rd: Keeping the 1st stage in one piece during reentry. It's not clear if the two first flights 1st stages broke or not before crashing, but some sources say that they did.
4th: Heat resistance. Heat load is also dependent of the flight profile. I wonder how much that can be, and if the engines section is tough enough to endure it without modifications. Have no info/ideas by now.
5th: The powered landing maneuver.
I think that the bigger problem is delta-v, followed by structural integrity, and maybe also the final powered landing.
ABOUT STRUCTURAL INTEGRITY:
Once you have thrusters to maneuver you can use them to help with orienting the stage during reentry to minimize dynamic loads. Low enough and fins and rogue parachutes become another option.
Maybe the problem came from the remaining fuel sloshing, but the two first Falcon 9 didn't have much of that left.
In any case the fact that the drag center of a cylindrical body is near its geometric center, while the mass center is displaced toward the engines, should help with stability.
If the problem was that the empty tanks collapsed from the external pressure, it does not sound that difficult to monitor it and enhance the already present pressurization system to compensate.
THE DELTA-V PROBLEM:
They could minimize the delta-v necessity by modifying the flight profile.
For example if they launched from south Texas instead of Florida (same latitude), they would not have to put the gears in reverse, because at ~1200 km E-NE they have Mississippi, Alabama and Florida. Or they could launch from Florida and land in Bermudas (of course if there's no breaking maneuver then heating at reentry would be a bigger problem, and there's also the issue of transport back to the launch complex).
To get more delta-v for the 1st stage, their options are:
- 1) Separate stages sooner, before all the fuel is spent (and leave the problem of getting to orbit to the 2nd).
2) Switch to an engine with more Isp.
3) Enhance the mass fraction by adding fuel so the rocket is heavier at launch, but the same (or, even better, lighter) at separation.
WHAT THEY HAVE:
Mainly what they have is a more powerful engine. Merlin 1D seems to have 12% more thrust than its older brother Merlin 1C, more or less the same Isp (just 1-2% more), and less weight.
That higher thrust will allow to make the 1st stage heavier, adding fuel, and engines being lighter will compensate for some of the weight of the new thrusters and avionics.
Because the Isp is more or less the same, from the rocket equation we can deduce that, if they want to retain the speed of 3.2 km at separation, then the mass fraction will be also the same, but starting from a bigger initial mass that means more final mass too.
If they renounce to a heavier second stage then all that extra mass is fuel.
But the second stage also has an enhanced engine. In this case it would be better if they tune Merlin 1D Vacuum to have the highest Isp possible. In that way, and starting from a second stage of the same weight than before, they'd obtain more delta-v.
That extra delta-v could be used to advance the separation of stages 1 and 2. In that way there would remain even more fuel in the 1st, and it would also travel at a lesser altitude and speed, making reentry easier.
Of course if they solve all these problems still have the issue of controlling the final landing maneuver, and that's where the Grasshopper RLV fits.
"The problem is not what we don't know, but what we do know [that] isn't so" (Mark Twain)