Dr. Phil Metzger Profile picture
Jun 10 33 tweets 11 min read
More detail on a non-intuitive fact from the Space Resources Roundtable talk this week: to out-compete Earth-launched rocket fuel, the rocket fuel made from lunar or asteroids resources does *not* have to be cheaper. In fact… /1
2/…it can be a LOT more expensive than Earth-launched rocket fuel and still be competitive. Economists say it like this: it doesn’t need an absolute advantage; it only needs a comparative advantage. Here is the example I thought would be interesting enough to tweet…
3/ To launch humans to the Moon (or Mars since the delta-v is about the same), the SpaceX starship will need about 8 more launches to refuel before leaving Earth orbit. Let’s say the cost per launch gets down to $10M each. So one Moon (or Mars?) mission will cost $90M.
4/ There will be some maximum rate of launches. If Elon wants to settle Mars, the rate will need to be very high. Going slow would be costlier since Mars needs to become as self-sustaining as possible as quickly as possible. Let’s say for a rough example the launch rate is 1/day.
5/ (If they launch every day year-round, the cost is usually much higher due to non-alignment of the planets, but is still do-able for less than a factor of 10 increased cost and acceptably longer transit times, but let’s ignore that since this is just an example of the concept.)
6/ So Elon would not do these launches unless they were providing more value than the money he puts in to do them. What is the value of his life-goal to start civilization on another planet? It is probably infinite return to him. But let’s be utterly conservative & say only 40%.
7/ So if Elon is getting only 40% return of value for his $90M expense for every load of settlers to Mars, that equates to $126M value, or $36M net gain in value, occurring once every 9 days. His profit is thus $4M per day. Now compare using lunar water…
8/ If Starship is refueled using rocket propellant made from lunar (or asteroid) resources, then every Starship launch can carry settlers. Let’s say the lunar propellant costs 20% more than Earth-launched. So each load of travelers requires the same cost as 8 more launches +20%.
9/ That means each launch costs $106M, an increase of $16M compared to Starship bringing all the propellant. But now, Elon gets $126M in value every day, rather than once every 9 days. This yields net profit of $20M per day, which is 5x higher…despite paying 20% more.
10/ In general, the lunar-derived propellant can be as much more expensive than Earth-launched propellant as the value customer attaches to the missions. If Elon sees that settling Mars is worth 200% more than the cost, then the break-even point for lunar water is +200%.
11/ But this is an academic question because as the rest of my talk showed, lunar-derived rocket fuel will quickly become cheaper than Earth-launched. It might take a few years, on the order of 1 to 10 years, for that to happen due to experience curve and economies of scale.
12/ I gave several examples of how it becomes cheaper than Earth-launched. These examples use the following economic factors. 1) Hardware fabrication cost is reduced by optimizing reliability. This depends on launch cost. As launch cost drops, hardware fabrication drops faster.
13/ Second, there is a well-known “experience curve” in industry. The more you have produced, the lower the costs become. Economists have extensive data quantifying this. Wright’s Law is a formula to describe this experience.
14/ Third, as the lunar business grows, it can gain economies of scale. Economists have documented this with extensive data, too.
15/ So here is the first example how these factors will affect lunar rocket fuel production. This first case uses a lunar water mining system that I worked on for a NASA grant in 2019-2020, “Aqua Factorem”.
16/ This case starts in year 1 as cheaper than terrestrial water all the way from the Moon to Geostationary Transfer Orbit, where it can be used to boost telecommunication satellites to their final orbits in GEO. We showed in the NASA study that this business case closes. But…
17/ …it gets even better because by year 14 it is now cheaper all the way to Low Earth Orbit, even though launch costs are dropping as fast as optimists say they will. And this was despite the unfair assumption that the lunar mining had to use much more expensive launch systems!
18/ So let’s get rid of the unfair assumption and use the same projected Starship launch cost for lunar mining. The optimization of reliability shifts because of this, too. The result: even by year 1, lunar water is now cheaper all the way down to Low Earth Orbit.
19/ That is actually too optimistic. There must be a few years of getting the bugs worked out, I am sure. So let’s be super conservative and assume the analysis team’s cost estimates (hardware AND ops costs) were off by a whopping factor of 5…
20/ Actually, I skipped a step. Before we increase costs by a factor of 5, let’s look at the effect of using solar electric thrusters. The case for lunar rocket fuel gets even better.
21/ Now let’s bump the costs a factor of 5 to see what happens if the analysts grotesquely underestimated lunar mining costs. If you only look at year 1, it seems that lunar water cannot compete, not even in low lunar orbit! But lunar water inevitably wins to LEO by year 11.
22/ (In that prior plot, ignore everything after year 10 when the costs start to plummet dramatically. I included an additional factor starting in year 10 in that plot, which I will explain in a moment.)
23/ So let’s try another study besides Aqua Factorem. How about the well-known study by Charania & DePasquale? Skeptics of lunar resources sometimes point to that study to say lunar resources are not competitive anywhere off the Moon. (See: trs.jpl.nasa.gov/bitstream/hand…)
24/ I had trouble interpreting parts of that study but did my best to replicate it, and sure enough, it shows that lunar water is not viable off the Moon. But this uses unfair launch costs.
25/ So let’s make just one change to that study. Let’s assume Starship is used to launch the mining hardware to the Moon. Suddenly, lunar water is now out-competing Earth-launched water in successively larger regions of space. But it gets better…
26/ Now let’s use electric propulsion to move the lunar water to its point of sale. (Let’s also add an interest cost for these longer transit times, for completeness, though it has little effect.) Lunar now beats Earth in GTO by year 10. But I think it gets much better…
27/ …because I believe the ops cost estimate is too high at $46M per year for the starter system that produces only 69 t of water per year. I believe that can be reduced a factor or 3 (or more!) if it is a commercial rather than NASA-led operation (no reliability premium).
28/ But even if you take it at face value, lunar rocket fuel is only a small % higher than Earth-launched fuel all the way down to Low Earth Orbit starting in year 1, so by comparative advantage (see start of 🧵) it still wins over Earth-launched fuel everywhere in space.
29/ And so finally, coming back to that extra factor after Year 10 in this plot. Here, I was saying, what if these ultra low transportation costs reach the tipping point to enable new industries in space? (Which will certainly happen.) So…
30/ Let’s assume lunar metal-making enables fabrication of large structures in space rather than launching it all from Earth. And lunar propellant giving cheap boosts helps Space Based Solar Power over the tipping point for broader economic viability.
31/ But it needn’t be SBSP that plays this role. It could be any additional in-space activity that uses rocket fuel. The question is, what happens when lunar mining business doubles due to other products besides water, and when boost services triple above Elon settling Mars?
32/ So the economies of scope and experience curve factors reduce the costs to maintain and use capital assets and skills even further. The result, per the equations based on extensive industry data, is a giant reduction in the cost of rocket fuel in-space.
33/ Conclusion: I do believe human civilization is on the cusp of moving beyond Earth to establish a bigger, more capable, more exciting world. When we can stop relying solely on Earth for all our economic resources, we have reached the turning point. We are very close. /end🧵.

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More from @DrPhiltill

Jun 7
The problem with articles like this is that they merely show us that the writer (in this case @paulkrugman) has *finally* recognized the challenges of off-Earth settlement that we have known precisely & been working to solve for decades... 1/2 nytimes.com/2022/06/07/opi…
2/…and it presents it to us as if it is a big gotcha that only he could have known (as if we don’t read the economics literature, too), and it doesn’t assess the actual progress in overcoming this challenge so it implies there is nobody working on it & no way to address it. smh
To be clear, I don’t think anybody including @elonmusk’s team believes we can send 1M ppl to Mars *today.* We know we have to develop tech that will make a small-population Mars community viable. Achieving 1M-viability is a target. I think it is easily doable.
Read 16 tweets
May 29
Another interesting fact: a lot of the darker, new tiles (the replacements) are located over antennas, which we sometimes used as convenient access points for airframe structural inspections between flights. /1
2/ You can tell these are the antenna locations by the four white chevrons painted onto the tiles around each antenna. We used those to align ground-testing antennas to verify the comm/nav systems worked before the next flight.
3/ Another interesting fact: each tile has a hole in it with a white circle painted around the hole so technicians could find it. That hole was used to inject water-proofing spray into the inside of every single tile before each rollout to the launch pad. I marked a few examples:
Read 27 tweets
May 8
If I went back to school again it would be for a degree economics. But I promised the family no more school 😢
Tonight’s job was writing equations for cost of lunar water incl. Wright’s Law and cost of reliability appropriate for lower launch costs. It’s interesting because transport in space is disproportionately costly compared to on Earth industry so it deeply changes the economics.
For example, in space we can’t have workers standing nearby to maintain equipment so we pay a giant price to get high reliability *without* that support. On Earth, optimum reliability allows some hardware failure, but in space repair isn’t possible so we allow even fewer. But…
Read 11 tweets
Apr 28
Been saving my thoughts on @elonmusk buying @Twitter until I had something new to stay. So here it is, finally…

People say it is a distraction for Elon. I think it will probably be seen by future historians as more important than solving climate change, settling Mars, etc.
/1
2/ Because I think the appearance of artificial intelligence in our society is the biggest thing that is happening both in this century and the next, and a struggle to redefine free speech is inevitable as an early part of a struggle over who controls the new information systems.
3/ I think the social contract that has resulted in democracy and classical liberal rights (such as free speech) for much of the world will possibly be undermined as AI makes humans relatively less important, economically and militarily, than capital (info systems and robotics).
Read 16 tweets
Mar 14
Gorgeous waterfalls we saw yesterday. Can’t help the visceral reaction: dang, how long can this go on until the mountaintop is out of water? 😅
⬆️This is an example why the Geophysical Planet Definition makes so much sense. Complex geological things like waterfalls only happen if there is the right amount of gravity. Too little and the body cannot retain volatiles. Too much and it ignites with nuclear fusion as a star./2
3/ Not all planets have waterfalls of course. Not all can retain volatiles at the surface. The unifying theme is the conditions for emergent complexity, which usually means valence shell chemistry since that is where the cosmos has the most potential to blossom in complexity.
Read 11 tweets
Jan 24
@DarenHeidgerken Yes, we have heard a few quotes of people saying these things. But we aren’t surprised. We have been working on this for years, and done years ago we were talking with a biologist at the forefront of arguments over how to do taxonomy, and he told us this: /1
@DarenHeidgerken 2/ That we are on the right track in our arguments, and that we should aim our arguments at younger scientists who are less biased, because we will never be able to convince the “old guard” who are already locked into their biases for life. He gave the example of Ernst Mayr,…
@DarenHeidgerken 3/…who was a famous biologist and one of the main opponents of cladistics in biological taxonomy. Our advisor told us that Mayr “died convinced he was right” although now the world has moved on and Mayr’s view lost out. This is how it works. We are all very poor thinkers, and…
Read 4 tweets

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