About this blog

Hi and welcome to by blog for strange and hypothetical science questions. It'd be great if you could email strange and/or hypothetical science questions to me at oddsciencequestions@gmail.com.

Sunday, January 11, 2015

Space Habitat

How much does it cost to build a space habitat? --Cosmic Cat


99¢ $9.95 $129.99 A hell of a lot of money. There are two approaches to figuring out the exact figure. One way is to take the price of a larger space-based object and divide that. Luckily, there is one rather large object that is (not) in space that has an estimated price: the Death Star. The steel for the Death Star would cost $852,000,000,000,000,000 in 2012 dollars.[1] It's probably safe to say that the cost of everything else doesn't add more than maybe one digit to that figure. The Death Star is big[original research?]; much bigger than a typical space habitat, though. Let's assume that a space habitat will provide room for 10,000 people, since that seems to be minimum of two designs in a book I once saw.(fill in source) If we assume 1,000 square feet of living area per person plus an extra 5,000 square feet per person of non-living space, then a space habitat has a floor area of 60,000,000 square feet. Assuming that there are ten feet between floors, the total volume of the space habitat is 600,000,000 cubic feet.

Now, what is the volume of the Death Star? It's a sphere 160 kilometers in diameter[2], so the radius is 80 kilometers, which is 262,464 feet. Thus, the volume is 75 quadrillion cubic feet. This is about 100 million times the volume of our space habitat, so I'll assume it's 100 million times as expensive. This comes out to $8.52 billion, but building materials aren't everything, so by completely unsourced speculation, I'd estimate the habitat to cost $40-80 billion. Note that this doesn't count the cost of actually getting it anywhere and keeping it running. But hey, you asked how much it costs to build a space habitat, not how much it costs to maintain one.

There are bigger space habitats existing planned though. The O'Neill Cylinder is twenty miles long and could hold two or three million people. Since the cylinder would be twenty miles long and possibly about as wide (it doesn't really matter if it's a few miles wider or narrower). Its volume is 924 trillion feet, 81 times smaller
than the Death Star. Using the calculations above, this cylinder would cost $10.5 quadrillion. Like the antimatter car (link to first blog), it isn't something Bill Gates could afford. Interesting digression: the EPA has an estimate on the value of a human life: $7.4 million in 2006 dollars.[3] From this calculation, I can conclude that the entire population of earth is worth less than a fleet of six or so O'Neill Cylinders.

Yes, that is a very badly drawn alien. This is a science blog, not an art blog.

Now for the second method: take the cost of a smaller object and multiply it. The International Space Station cost somewhere in the neighborhood of $100 billion.[4] The ISS has roughly the living space of a six-bedroom house, which (presumably) is habitable for six people.[5] Multiplying upwards, the first habitat
(with 10000 people) would cost $167 trillion and the second habitat (with 2-3 million people) would cost $250 quadrillion. Those numbers to seem more reasonable than the first, though they (like pretty much every other number I come up with on this blog) are probably off by a few orders of magnitude.