I'm putting together my first Eclipse Phase adventure. I'm trying to be accurate and would appreciate some advice.
I have a space station with a spinning ring. This motion creates a force of 1G on the inside of the ring angled outward, thus you have a habitable area. Now this I know is something proposed by scientists and appears in hard science-fiction, so is plausible. In trying to work out the actual numbers, I got the following:
Using the formula:
Force = mass * radius * (angular velocity)^2
I worked out
9.8N = 1kg * 800m * (angular velocity)^2
angular velocity = 0.111 radians/s.
That is to say that at about 1.6km diameter (approx. 1mile), the station is doing a full rotation about once every 56seconds meaning with a circumference of around 5km, its outer surface is moving at a aroun 90m/s (approx 325km/h or 202mph) relative to a hypothetically stationary bystander.
So there are two parts to this question. Is the maths right (which I think it is) and if so, how do you dock? Certainly you can come along the side and even match a velocity in one direction, but not an angular velocity.
Now you could have a platform in the centre that was going in the opposite direction, thus effectively stationary in comparison. And a ship or a crew could land on that. You still ahve the issue of how to get from the central platform to the outer ring though. I suppose at the very centre, an angular velocity of 0.111 radians per second means less. You could concievably make a step from a (relative terms) stationary platform onto a spoke, following it outwards and facing the increasing weight as you climb your way toward the outer circle. (By the time you reached the outer circle you would be climbing "down" of course). But the smaller the platform the harder it is to land a ship on it and the larger the platform the more you get a jump when going from it to a moving spoke.
You could have gradiated platforms in the middle. One stationary (in relative terms), this is surrounded by another ring that moves more, followed by a third ring, etc. That changes it from a single jump to a series of jumps. But I don't think that would work as the further you get from the hub, the larger the relative difference in speed is for the same change in angular velocity.
You could start on the outside and work your way in. In this model, the torus has prongs sticking out of it that a ship could attach to. From there, you essentially climb your way up out of a higher G until you reach the lightness of 1G at the torus itself. Note that to avoid simply encountering an even more extreme problem of how you match angular velocity with the torus than you did when you were docking directly on the ring, these prongs need not be rigid. I'm thinking they're more like tethers that you could temporarily introduce some slack into by means of firing a retro-rocket at the end of one and then attaching the ship, enabling it slowly get winched in, picking up a matching velocity. There are a few downsides to this though. The first is that these tethers would probably have to be pretty long and the winching in process very slow. The second is that any ships wishing to dock would have to have appropriate equipment and structural integrity. The third is that ships with sufficient momentum may upset the orbit of the station itself. Naturally ships could use their own engines to assist in reducing their momentum once tethered which would be good. But all in all, it seems problematic.
There's a fourth option which is that docking ships should match the spin of the torus itself as they dock. I presume that this means docking could be a fairly drawn out process as you wouldn't want to make large adjustments very rapidly to avoid stress on your ship and vomit in your cockpit. Also, if you want multiple ships docking, you have a problem as if the ships aren't docking in the absolute centre of your station, you have the angular velocity problem again. I suppose it's possible that you could have ships moved from the docking position once to a kind of holding area. You'd have to be very careful leaving if you didn't leave from the same central position as you could run the risk of part of the station smacking into you once you cast off. So you'd be best off having your ship returned to the central docking part before leaving. Yay! Spaceship queues!
Right - thoughts and suggestions, please! :)
K.
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"We're here to save the planet. But not for free."
Mea Culpa: My mode of speech can make others feel uninvited to argue or participate. This is the EXACT opposite of what I intend when I post.