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Help me visualize life in a torus:

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Pyrite Pyrite's picture
Help me visualize life in a torus:
I've always liked the idea of torus habitats, the simulated normality that's always just a few feet from cold, hard vacuum. But there's a few aspects of them that I've always had a bit of difficulty visualizing. I've looked in several places, but I can't seem to find the answers to these questions, so I thought I'd ask them here: So a torus habitat tends to be a giant ring with its center looped around a long docking spar. Does the spar usually spin with the ring like the point of a top, and if it does, wouldn't this make it rather difficult to dock with it? If it doesn't, how does one transition from the spar to the torus? It seems like the center of the ring would be spinning at rather an unsafe speed to board it. This seems especially important with double-ring habitats, where it seems like a given that the spar would not spin. How big is the area inside a torus? How many decks would you expect on a 'standard' torus? Would they typically be laid out in corridors and rooms like a spaceship, or in big open areas like a cylinder colony? What sort of population-sizes can a torus serve as the habitat for comfortably? Does the typical torus hab use hydroponics, and how much space would be given up to that? How much to the mechanical 'guts' of the station, or would those even be accessible? Thanks to anyone who'd like to suggest answers to these.
'No language is justly studied merely as an aid to other purposes. It will in fact better serve other purposes, philological or historical, when it is studied for love, for itself.' --J.R.R. Tolkien
MAD Crab MAD Crab's picture
This may help
http://www.youtube.com/watch?v=q3oHmVhviO8 Or it might not, but damn if it isn't pretty to watch! To answer some of the mechanical questions, the centre doesn't need to spin very fast. Keep in mind that you only want -at most!- one G. For a ring of any significant size that's a very low RPM. (As an aside, it turns out that spinning too fast causes other problems - basically, you get weird disturbances in your inner ear due to Coriolis forces) If you do want the centre stationary, that's harder. The easiest way is to effectively make the hub and rings separate environments with vacuum between them. That is a bit of a problem for the double torus. Who wants to put on a spacesuit to visit the neighbours? One interesting way to do it is to let the hub spin up to match one torus at a time, sealing the two together when you match speed. Would be a hell of a delicate process, though.
Evilnerf Evilnerf's picture
I think the movie Elysium has
I think the movie Elysium has a pretty good representation of a Torus.
ShadowDragon8685 ShadowDragon8685's picture
At the risk of being barked
At the risk of being barked at for "Microaggressions" again, I'm going to answer this post point-by-point, because you've asked a lot of questions, the answers to which individually are difficult to condense to a single paragraph, the answers to all of which are practically impossible to so do to.
Pyrite wrote:
I've always liked the idea of torus habitats, the simulated normality that's always just a few feet from cold, hard vacuum. But there's a few aspects of them that I've always had a bit of difficulty visualizing. I've looked in several places, but I can't seem to find the answers to these questions, so I thought I'd ask them here: So a torus habitat tends to be a giant ring with its center looped around a long docking spar.* Does the spar usually spin with the ring like the point of a top, and if it does, wouldn't this make it rather difficult to dock with it?⁑ If it doesn't, how does one transition from the spar to the torus? It seems like the center of the ring would be spinning at rather an unsafe speed to board it.⊛ This seems especially important with double-ring habitats, where it seems like a given that the spar would not spin.⊛
* Aye, though that's just a general rule, much like you could say that a town tends to be a grid of blocks. Also note that a torus is just a very squashed cylinder with the middle being empty - you could also make a "disk" habitat if you were inclined to so do, and there's nothing saying that you actually have to fill the middle with the docking spar. You [i]can[/i] just have a donut floating around in space. Not sure why you [i]would[/i], but you can. ⁑ Depends entirely on the habitat's layout and the ship design, really. If the incoming ship has a docking port perfectly in line with its center of mass somewhere and effective rotation controls, and you only intend to dock no more than one ship to each side of the torus's spar at a time, it's an utterly trivial navigation problem to line up the docking ports, match rotation, and come on in. Anywhere else and its' more or less going to be impossible, and even for the "less" impossible instances, it's going to be impractical to the point of absurdity. ⊛ Elevators. This problem is the same in all of the rotational habitats, and the solution is the same: Elevators. The most obvious way? You have a circular lift that goes all the way down to the very center of the spar, in some kind of free-rotating airlock arrangement. You enter the lift as it rotates around you - and it will not be rotating terribly swiftly - and when the lift shuts, it starts to move slowly up towards torus. At first you'll come to rest on the "ceiling," but as the lift car "descends" towards the bottom of the torus, you'll "slide" down the antispinward wall, and come to rest in the direction the centrifugal force you're picking up is pushing you: down. After this, you're standing on the lift floor, and it just descends to the bottom. Alternatively, ladders. Grab on while it's rotating around you in micrograv, swing yourself around so you're pointing your legs "down," and start climbing. Be wearing gecko gloves and boots when you do this.
Quote:
How big is the area inside a torus? How many decks would you expect on a 'standard' torus?Δ Would they typically be laid out in corridors and rooms like a spaceship, or in big open areas like a cylinder colony?Θ What sort of population-sizes can a torus serve as the habitat for comfortably?Ω Does the typical torus hab use hydroponics, and how much space would be given up to that?Σ How much to the mechanical 'guts' of the station, or would those even be accessible?λ Thanks to anyone who'd like to suggest answers to these.
Δ Not meaning to sound trite, the volume of a torus is V = (pi × r[sup]2[/sup])(2 × pi × R), where r is the minor radius, and R is the major radius. The minor radius is the distance from the exact center of the physical donut to the hull of the donut, and the major radius is the distance from that circle to the middle of the donut hole. You can [url=https://www.google.com/search?q=Volume+of+a+torus]let the Google do the maths for you[/url] if you prefer. (The solver also has a great diagram if my explanation made no sense to you.) For reference, and assuming my calculations are correct, the 10,000-population [url=http://en.wikipedia.org/wiki/Stanford_torus]Stanford Torus[/url], the ur-example of this sort of thing, would have a donut volume of 69,220,500 m[sup]3[/sup]. Less mathematically, the size of the torus is constrained by the gravitational forces you want to have at the outside hull of the torus. Coriolis fores are problematic if you're going more than about 2 RPM - and when I say "problematic," I mean "it can permanently fuck up that morph," so if you want a full 1g at the hull, this mother's gonna have a major radius of 500m. If you only want 0.1g, you can get away with 50m. Obviously, you can go much [i]larger[/i] than that if you want, just spin it slower. But basically, pick a size that's not too small for the gravity you want and go nuts. Θ Depends on the purpose it was built for and the architectural ethos of those for whom it was designed. An industrial torus would probably be decks and rooms, one for habitation by those who are not Scum (who will expand into every available space,) will likely be the "open space" design. You also don't need to pick one or the other; you could have sections which are floor-to-ceiling working spaces immediately adjacent to green open fields. Ω This depends entirely on the size of the torus and how happy the inhabitants are in close proximity to one another. Hardcore Scum, former urban city dwellers (and especially former Asian/Indian urbanites) can be tolerant of and even thrive in extreme population densities, like was found in the [url=http://en.wikipedia.org/wiki/Kowloon_Walled_City]Kowloon Walled City[/url]. On the other hand, folks from former rural areas are likely to be much less tolerant of such tight conditions. It also matters if you're putting vital infrastructure (like feedstock storage and waste reclamation) outside of the main body of the torus ("inside" from the donut or outside, or even attached to the spar outwards.) You could have a tiny torus for a dozen people, or gigantic Stanford torii with populations exceeding a hundred thousand. Σ You keep asking about a "standard" torus and a "typical" torus. That's like asking about a "standard" small town or a "typical" person, there's no such thing. Some torii will use some kind of growth medium situation, some will just convert organic stuff to other organic stuff with nanofabrication directly. Depends entirely on what the folks who made it wanted to do. You can have either set-up in torus habitats you describe in your game. You could also install hydroponics bays above or below the main "level" of the torus, so the plants grow in heavier or lighter gravity than you want to live it, and you maximize the amount of living space you have. (This could be external or internal.) λ They would almost certainly be accessible, as you definitely want to be able to access these things to repair them when things go wrong, or upgrade them as newer technologies become available. Again, this largely depends on the whim and interest of those installing the torus habitat. The infrastructure is a great candidate to be installed above or below the torus, as needed, as well.
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DivineWrath DivineWrath's picture
Pyrite wrote:It seems like
Pyrite wrote:
It seems like the center of the ring would be spinning at rather an unsafe speed to board it.
I don't think so. I haven't checked to make sure, but technically the outer ring will need to travel more distance to complete a rotation than the inner core would. Speed is equal to distance / time. Assuming that both the outer ring and inner core complete a single rotation at the same time, then the outer ring must be traveling faster because it would have more distance to travel in order to keep up with the inner core.
Jaberwo Jaberwo's picture
I don't think you need a
I don't think you need a space suit to change from the ring to the spar, surely transhumanity has figured out how to bulid an airtight rotating bearing. I imagine that you float down a corridor and arrive at a junction where four corridors wtih ladders or elevator doors orientated perpendicular to each other spin slowly around the central tube. similar to escalators there will be nice and safe ways to shield the seams between rotating an static parts of the habitat from stupid peaple sticking there hands in between.
nezumi.hebereke nezumi.hebereke's picture
I think ShadowDragon provided
I think ShadowDragon provided a pretty thorough explanation, despite the unwarranted aggression (I tease! I tease!) In general the rule is there's no maximum size for a torus, just a minimum. As your torus gets bigger, it rotates slower, so some of your transition problems go away, but it also may be less resource-efficient, because more materials are spent in the empty 'donut hole'. Regardless, the maximum size is defined by the price tag, the minimum size is defined by the desired gravity/rotation speed. Most of your other questions are totally up to you. The torus just defines the space available to use. How you divide it up is totally up to you. You do have some tools to use though; some of the torus is in lower 'gravity' than others, for instance. But as long as it's balanced enough to spin, go crazy. Transitioning isn't such a huge deal, as long as you have a way to accelerate yourself to match the speed of the new zone. Elevators are the obvious answer, but flying vests or possibly even swimming flippers should fill that role. The percentage of the station given over to hydroponics et al. applies to just about every station, and is a function of the populace and purpose of that station. But indeed, a general rule on how big life support is to support a standard morph would be a handy reference.
MAD Crab MAD Crab's picture
I can accept nanotech and
I can accept nanotech and stargates. I have more trouble with a durable rotating seal. It's just a really hard problem, and a major weakness in the hull. How do you make something so big with tight enough tolerance, how do you keep it from wearing or seizing or any of a hundred problems. Maybe you could do it with enough work, but I think that people are likely to use easier solutions in the end. One would be a variation of spinning the hub up and down. It occured to me reading shadowdragon's post that it would be even easier if you simply had a room -an airlock, really- that could be spun around the hub to match the spoke, then sealed in place. People transfer, then it decelerates and you can board the hub. Kinda slow, but not much worse than an elevator. A bigger question to me is how do the two rings share resources? Piping water or oxygen seems like it would be problematic.
Chernoborg Chernoborg's picture
This is a great book for
This is a great book for understanding space colonies in general and the Stanford Torus in particular - though it is SO 70's you won't believe it! http://www.nss.org:8080/settlement/ColoniesInSpace/index.html Note that in the Stanford design the radiation shielding outer shell is stationary, which opens up all sorts of possibilities. Docking the ship on the shell and taking a subway style transport into the spun section,for example. As for the rotational seal, ferrofluid seals exist now that would do the job quite nicely! http://en.m.wikipedia.org/wiki/Ferrofluidic_seal
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OneTrikPony OneTrikPony's picture
Chernoborg beat me to the
Chernoborg beat me to the mention of liquid bearings. I'd mention that sealing a rotational hub is not more complex than sealing the shafts of a submarine. Was anyone else very confused or disapointed by the open-to-vacuum design of the Elisium torrus??! That bit of stupidity ruined the whole movie, given that the plot relied on it. :-(

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Chernoborg Chernoborg's picture
Yeah, though I still haven't
Yeah, though I still haven't seen the film I caught that detail and had an "ummm...what?" moment. I've sometimes wondered if anybody has tried modelling the air circulation in the larger spinning habitats like O'Neill cylinders. Since even at fairly large distances the interior surfaces are moving quite quickly the air circulations would kick up some serious winds. In a torus you could put up a relatively simple divider to push the air along with the ground but that's not so feasible when the opposite side is 8 km away! Maybe they just set all the buildings on the leading edge of the "lands"and the air gets deflected around the flat space...like being in the back of a pickup truck! :)
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DrewDavis DrewDavis's picture
OneTrikPony wrote:Was anyone
OneTrikPony wrote:
Was anyone else very confused or disapointed by the open-to-vacuum design of the Elisium torrus??! That bit of stupidity ruined the whole movie, given that the plot relied on it. :-(
I haven't seen the movie but your description sounds like a Bishop Ring? https://en.wikipedia.org/wiki/Bishop_Ring_%28habitat%29
OneTrikPony OneTrikPony's picture
I was not aware of the bishop
I was not aware of the bishop ring concept. I realy need to get around to reading Ringworld. The movie still disapoints me cause the visual was the scale of a stanford torus. http://www.orionsarm.com/eg-article/460db7f55a8d3 The orion's arm site notets the major problem with the concept; centripital gravity cannot keep your atmosphere from evaporating to vacuum, even if your ring is THOUSANDS of km wide with 200 km walls. Thanks for bringing that to my attention tho. I always wondered how ringworld was suposed to work.

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Smokeskin Smokeskin's picture
Pyrite wrote:It seems like
Pyrite wrote:
It seems like the center of the ring would be spinning at rather an unsafe speed to board it.
Here's an excerpt from my EP physics reference spreadsheet: [code] Surface velocity (m/s), spun gravity. Matching velocity, falling off Gravity, artificial (g) D (m) 0,1 0,3 0,5 0,7 1 50 5 9 11 13 16 100 7 12 16 19 22 250 11 19 25 29 35 500 16 27 35 41 50 1000 22 38 50 59 70 Rotation time (s), spun gravity. Targetting stationary space objects, zone transition Gravity, artificial (g) D (m) 0,1 0,3 0,5 0,7 1 50 32 18 14 12 10 100 45 26 20 17 14 250 71 41 32 27 22 500 100 58 45 38 32 1000 142 82 63 54 45 [/code] The "standard" is 0.3g imo (that's about Mars gravity). First: Zone transitions are not a big deal near the hub. It's not moving dangerously fast with rotation times being typically 30 seconds or longer. It's only really a small torus at relatively high G that is going to be a problem. Second: Even the outer ring moves relatively slow. It is not going to be problem to have ships just match velocity/orbit with the hab and then have smaller vehicles ferry passengers and cargo. Even if you're trying to dock at the outer surface, then the surface is moving at speeds comparable to current day automotive traffic and matching a 0.3g acceleration (needed to keep in position while docking) is equivalent to accelerating from 0-100km/h (or 0-60mph) in a bit over 9 seconds. Docking points close to the hub will be even easier. You don't even to have the ferries go inside, they can just be suspended on cables or mechanical arms. By the way: I know that current humans have problems with >2RPM rotation, but I believe all morphs except for a Flat would have motion sickness engineered out of them. The motion sickness response is most likely something animals evolved because if your balance and vision systems is giving conflicting input, you're hallucinating because you ate or drank something poisonous (like too much alcohol...), which makes nauseau (to teach the animal to not go near that stuff again) and throwing up (to prevent more bad stuff making it from the stomach to the bloodstream) a sound response. Of course, that has been annoying since humans started doing the whole moving vehicle thing, and when you go in space it gets even worse. Who'd buy a morph that got motion sick?
Smokeskin Smokeskin's picture
Chernoborg wrote:
Chernoborg wrote:
Note that in the Stanford design the radiation shielding outer shell is stationary, which opens up all sorts of possibilities. Docking the ship on the shell and taking a subway style transport into the spun section,for example.
A non-rotating radiation shield makes a lot of sense, that's A LOT of structural stress you save by not having all that mass under g. Never thought of that, thanks! You don't need a non-rotating shell though for your transit idea. A "spaceway station" would remain in the same orbit as the hab - it would just need a bit of structural attachment to the hub to handle the small nudges it gets from stuff entering and leaving.
Smokeskin Smokeskin's picture
OneTrikPony wrote:I was not
OneTrikPony wrote:
I was not aware of the bishop ring concept. I realy need to get around to reading Ringworld. The movie still disapoints me cause the visual was the scale of a stanford torus. http://www.orionsarm.com/eg-article/460db7f55a8d3 The orion's arm site notets the major problem with the concept; centripital gravity cannot keep your atmosphere from evaporating to vacuum, even if your ring is THOUSANDS of km wide with 200 km walls. Thanks for bringing that to my attention tho. I always wondered how ringworld was suposed to work.
The ringworld books are soooo good. At least that's how I remember them, it's been forever since I read them. The ringworld walls are 1,600 km high and it is spun at 1g. I can't really wrap my head around what happens at the top of the atmosphere though. On Earth the gravity is still pulling at the air molecules. I would think that the air molecules on top of Bishop ring's atmosphere would be "spun" so they have the lateral motion that imparts full artificial gravity, in which case you're in the exact same situation as on Earth once your walls are high enough to be in effective vacuum where air molecules don't actually drop over the side. One problem is that random movements of air molecules would be a problem. Lose a bit of lateral speed, and it will begin moving up. I guess there's an equal chance of the air molecules getting any velocity change, so it would even out and as long as the random walk to the wall edge is sufficiently long, the problem would be minor. I guess even the turbulence from spaceships flying in and out could be manageable.
Lorsa Lorsa's picture
OneTrikPony wrote:Was anyone
OneTrikPony wrote:
Was anyone else very confused or disapointed by the open-to-vacuum design of the Elisium torrus??! That bit of stupidity ruined the whole movie, given that the plot relied on it. :-(
Yes, very much yes. I thought Elysium was one of the worst movies I've seen in a long time and this was part of the reason. The other issues just added to the problem.
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Evilnerf Evilnerf's picture
I dont disagree with most of
I dont disagree with most of the movie's problems, but I think you should cut it a little bit of slack as far as the space station. The only reason you can even recognize it as unrealistic is because the station was of an almost realistic construction, as opposed to something purely fanciful like star trek and star wars. You're better off appreciating the fact that they tried at all to make it work within the confines of the story they wanted to tell.
Smokeskin Smokeskin's picture
I really, really liked
I really, really liked Elysium. Sure, it had some science flaws and plot holes, but the movie was still very good. Lots of cool commentary and social critique, a very relevant story, and some awesome and brutal action. It wasn't Robocop (the original), but really good still.
Leetsepeak Leetsepeak's picture
Out of curiousity (and I
Out of curiousity (and I admit, ignorance) where are the places on a torus habitat where you wouldn't get the intended gravity? Towards the center of it, on the edges of it?
Smokeskin Smokeskin's picture
Towards the center. Or
Towards the center. Or anywhere if you're not rotating with the torus.
TheGrue TheGrue's picture
Not rotating
I think if you aren't rotating the torus, you're sort of missing the point. :D
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nezumi.hebereke nezumi.hebereke's picture
"Intended" is pretty broad.
"Intended" is pretty broad. Remember if you're in a space suit tethered to the edge of the torus, you're going to find gravity is suddenly far, far higher!
Erulastant Erulastant's picture
Leetsepeak wrote:Out of
Leetsepeak wrote:
Out of curiousity (and I admit, ignorance) where are the places on a torus habitat where you wouldn't get the intended gravity? Towards the center of it, on the edges of it?
The farther out you go the higher the artificial gravity will be. The closer inward, the lower gravity. What you have isn't someone saying "This whole torus will have 0.3 g", it's someone saying "Well, we'll have a continuum of gravity strengths going from 0 at the very center to 0.3 g at the rim" or something like that. The rotational speed would probably be chosen to get a particular gravity at either the inner or outer edge--If you want to make sure there's at least 0.3g everywhere, you pick it so that the inner edge has 0.3g. If you want to make sure there's no more than 0.5g, you pick it so the outer edge has 0.5g.
You, too, were made by humans. The methods used were just cruder, imprecise. I guess that explains a lot.
Chernoborg Chernoborg's picture
For a torus the sides of the
For a torus the sides of the doughnut and spokes would have an steady reduction in apparent gravity until you get to microgravity at the hub. By nature a torus doesn't have a lot of extraneous real estate , for that you have Bernal spheres. One can experience the gradient by moving from the full gravity equator towards the poles, likely with larger terraces at the equivalent gravities of prominent locations throughout the solar system -Mercury/Mars, Luna, and Titan.
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Jaberwo Jaberwo's picture
Thinking about wide open
Thinking about wide open spaces I wonder how birds (or augmented transhumans) experience flight in a Bernal Sphere? How do coriolis forces affect that?
TheGrue TheGrue's picture
Coriolis force would manifest
Coriolis force would manifest as an apparent tendency to drift in the direction opposite the direction of spin. It would be more pronounced at lower "altitudes". Not a problem if you're flying in that direction anyway, of course.
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