Did you see the size of the radiators on the orgiginal ISV?
Those radiators? Those are
small. Trust me. I came up with some outcomes, that were plain painful to look at. Anyway, those thermal issues deal primarily with worries of melting the engine, etc.
That said, I wanted to figure out the total wheight of the structure / Payload before I started worrying too much about the engines. Afterall, the propulsion section's specs will be largely dependant on what it has to tow. Using blender's volume calculator and some back of the envelope comparisons we're looking at 440 tonnes for the Hab Section and 38 tonnes for the (2000m carbon fiber) tether. Its seems your initial guess of a 500 tonne empty wheight was pretty close.
So given an 1,800 tonne Payload and 478 tonne structure how ludicrous of a Propulsion Section are we talking about? From there we can also extrapolate how much shielding is required, how much actual Handwavium we're going to need, and whether or not this whole project is a pipe dream.
The
thruster calculator can do the work for you, if you are too lazy with math, just like I am.
We have an exhaust velocity of... let's say, 18500 m/s, to be on the low side. A dV of 3.86 km/s requires a mass ratio of around 3.862. Now the key is thrust. Your required acceleration determines your thrust. I would say, go low. 3 MN can push over 600 tons of ship at 0.1G, so it should be more than enough. That is roughly 7 hours of continuous burning, if you were to finish off your entire dV capability. But your transit and deceleration burns will take less time than that. While a three hour burn for example, might sound like a lot, it is actually quite short and one must remember that the lower the thrust (and thus the lower the acceleration, and thus the longer time it takes to accelerate to a set velocity) the lower the thrust power is. The key here is energy over time.
3 meganewton should not be that much, especially if spread over several engines. I am not sure what the mass of these engines would be, although Atomic Rockets gives a mass of over 56 tons for a 445 kN engine, which doesn't sound too promising. But that might, for example, include shielding, and other things that can be ommitted, refined, etc. If you want, you can reduce acceleration even further. A 1 MN thruster can accelerate roughly 520 tons of spacecraft at 0.04G. A transit burn would then maybe be around 8, 9 hours. That is not that bad, in general. Maybe slightly higher thrust would be desirable. In any case, it is possible; it is just a matter of either slimming your engine mass (somehow) or dealing with it (somehow).
I am unsure of what the mass of the propellant tanks would be. The best would be to calculate their volume based on the mass and density of the propellant, and then compare with other rocket propellant tank technology. Not only are the densities of NH3, CH4 and LH2 different, but they also have different thermal requirements, for example. Liquid hydrogen has appallingly low density, CH4 is much better, and NH3 is even better still. I think, but I'm not sure, that NH3 has the highest boiling point as well. Either way, CH4 might be the ideal propellant considering that Mars is the primary destination. There, nitrogen is not very common. If you are planning on mining ice from the Martian moons, than liquid hydrogen would probably be the best propellant. I don't know if the extra mass of using water would warrant the decrease in exhaust velocity.
And always... always add space to grow. Your engines and propellant tanks are going to add quite a bit of mass to the vehicle, so be prepared.
I.E Half as many people getting you twice as far.
Well, it isn't as much distance, as it is time. For example if you are carrying an exceptionally heavy payload, you might also decrease your travel time as well. But generally the faster passenger trips are, the better.
Based on NASA's studies the break even point for shipping food vs. growing it en route it is around 6 months for mass and 9 months for volume. The break even point for using Chlorella Algae to Process CO2 and Biological waste is about 5 months. So let's just say that the Algae tanks are primarily for atmosphere/waste processing and that the occasional fresh seafood dinner is a bonus. For a mission to the outer planets the bays no longer occupied by colonists can be devoted to a hydroponics garden.
That sounds like a good idea. Just because you're switching to a closed system doesn't mean you need to ditch stored food, and just because you have a primarily expendable system doesn't mean you should go without fresh fruit or fish, or not have a regenerable oxygen supply.