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Using Fuel Depots Instead of Giant Rockets
EccentricAnomaly writes "The New York Times has a story about a leaked NASA study that showed it would cost $80 BIllion less and get astronauts to an asteroid sooner if NASA used fuel depots instead of developing a new rocket. According to the article, NASA's response to the leaked study is to start developing fuel depots in addition to continuing its new rocket program. Because, after all, who doesn't need more cool stuff."
Umm, no.
You added eight years worth of supplemental and emergency appropriations ($900 B) onto last year's military budget.
The same article showed the correct amount to add for this year: $37 billion.
Which would make the correct value $700.3 billion, less than half what you asserted.
"I do not agree with what you say, but I will defend to the death your right to say it"
Fuel is a good candidate to launch with a high-g device, but a mass driver is not the most economical way to get it off the Earth. It is fairly easy to show that a pipe will cost less per foot than induction coils and a frigging huge power supply to feed it, for the same job of accelerating a projectile. Generally, these type of devices are called "hypervelocity guns", defined as when the muzzle velocity is hypersonic (ie more than Mach 5 or 1500 m/s). This is roughly twice the muzzle velocity of large military guns.
In 1993 I was the study manager at Boeing for using a large gun to deliver fuel to a depot, which then was used to send communications satellites to GEO. The savings was you needed 75% less conventional rocket to launch the satellite dry. Hypervelocity guns are not new, they have been used for ballistic and re-entry testing for about 40 years now. NASA owns several of them. Mainly they need scaling up and "industrializing" - setting them up for regular operations, rather than research use.
To reach the highest muzzle velocity, you want to use the lightest gas (Hydrogen), and heat it, so the speed of sound is as high as possible. Speed of sound is the same as speed of pressure waves in the gas, and when your projectile exceeds that speed, there is no way for the gas at the back end to affect the projectile any more, because it outruns the pressure waves. So the gun gets very inefficient at that point. To make hot hydrogen, it is easiest to store it at room temperature in pressure tanks, then run it through a heat exchanger before it gets to the barrel. There is nothing that goes "boom" like a small gun, it's closer to natural gas pipeline operations (in fact, we sourced the gun barrel from a pipeline maker in the study). Find a suitable mountain, such as Cayembe in Ecuador (the highest point on the equator, and the right slope), and put a 2 km long x 60 cm I.D. pipe pointing up. Load a 600 kg projectile about 4 meters long into it, and it will accelerate at 900 g's, and come out with a muzzle velocity of around 5600 m/s. You lose around 1 km/s of that to air drag, and then use an onboard rocket to finish getting to orbit. Net payload to orbit is around 100 kg, which does not sound like much, but if your launcher is at the equator, you can potentially launch 15 times a day to a single depot destination. Over the course of a year that comes to 550 tons (minus downtime for maintenance).
For launching people and delicate cargo, Hawaii is the best location. Assume a 20 km pipe x 10 m diameter, pushing a 500 ton vehicle. It works out the pressure in the barrel needs to be 2 atmospheres (200kPa, 30 psi). That gives you 3 g's acceleration, safe for humans and satellite parts. Muzzle velocity is 1100 m/s (Mach 3.6), which is not a huge fraction of orbit velocity, but a nice running start before you light up your on-board rocket. Given those starting conditions, a reuseable non-cryogenic rocket should have a payload of around 35 tons, which along with a 10 meter diameter should be plenty for any cargo or people you want to launch. This is the upper end of what you might want to build, for your first low-g cargo launcher you can go a lot smaller.