There have been some concerns, in the trajectory office backroom. about the power that the Mars ship can yield. For reasons explained here, we have already seen that the total weight of the supplies that can be delivered to the James Cook cannot be more than 467 tons. If that was all fuel and the ship had nothing else onboard, it would give a dv of 127 km/s, which is a slight overkill.
But if we assume a 70 - 30 ratio (70% for air, food, water and equipment - 30% fuel) for the weight of the cargo, we get 140.1 tons of cargo that consists of fuel. Calculate in a factor of 0.85 for the weight of the containers and the fuel becomes 119.08 tons. So out of the 467 tons, 347,92 need to be added to the emptymass and 119.08 are the fuelmass. Let's add the weight of the two XR2s that will be docked and then make the calculation for the dv:
dv = ln((EmptyMass+FuelMass)/Emptymass)*exhaustV
EmptyMass=350000+347920+(2*16080)= 730080kg (the weight of the Cook + supplies for the trip + the weight of 2 empty XR2s).
FuelMass = 119080
ExhaustV=150000
This gives us a dv of 22664,026 m/s available at the TMI burn. (22,664 km/s)
We also need to keep in mind that at least 26 tons of fuel will be transfered to the XR2s when we arrive at Mars, lowering the available dv even more.
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Dgatsoulis, are you suggesting that 22,664 km/s of dV is too low? It would seem to me that we could go anywhere in the solar system multiple times over on that.
Dgatsoulis, are you suggesting that 22,664 km/s of dV is too low? It would seem to me that we could go anywhere in the solar system multiple times over on that.![]()
Dgatsoulis, are you suggesting that 22,664 km/s of dV is too low? It would seem to me that we could go anywhere in the solar system multiple times over on that.![]()
Dgatsoulis, can I get the units on each of those terms in your dV calculation?
maybe - maybe not. How much dV to Mars and back?
how much from Mars Orbit to Mars Surface (times 5 for safety) - how much from Mars to Phobos?
that should give a rough starting figure for the fuel haul to the mars vessel.
For the free return trajectory we need roughly 12 km/s
5.6 km/s TMI burn
0.4 km/s MCCs + Mars approach Eq. adjustment
6,0 km/s MOI burn
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12,0 km/s total
Let's not forget the dv required for the lunar shakedown mission OFMM 19
3.15 km/s TLI burn
0.85 km/s LOI burn
0.90 km/s TEI burn
3.30 km/s EOI burn
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8,20 km/s total
I'm expecting some guests now, so i won't be able to crunch the rest of the numbers untill later tonight.
The optimal departure from EARTH occurs at 5/13/2018 13:57:45 (C3=7.7497 km^2/s^2)
The optimal arrival at MARS occurs at 12/8/2018 5:0:45 (arrival velocity=2.9747 km/s)
The optimal trip duration is 208.6271 days.
Computing Departure Burn...Done!
Burn Delta-V is 4.1397 km/s.
Burn should be performed at true anomaly of 13.9601 degrees of pre-departure orbit.
The numbers for the lunar shakedown seem fine, but I think we can pare down the Mars run a bit. First, if done right, I think we can leave Earth with closer to 4.1 km/s: the Cook just needs to be in the proper parking orbit. Here's my analysis:
Code:The optimal departure from EARTH occurs at 5/13/2018 13:57:45 (C3=7.7497 km^2/s^2) The optimal arrival at MARS occurs at 12/8/2018 5:0:45 (arrival velocity=2.9747 km/s) The optimal trip duration is 208.6271 days.
And looking at departing from Earth (300x300 km orbit, 51.6 deg inc, RAAN 180 deg):
Code:Computing Departure Burn...Done! Burn Delta-V is 4.1397 km/s. Burn should be performed at true anomaly of 13.9601 degrees of pre-departure orbit.
So the departure and MOI can be done with ~7.1 km/s, I believe. I'll look at return numbers later tonight.
maybe - maybe not. How much dV to Mars and back?
how much from Mars Orbit to Mars Surface (times 5 for safety) - how much from Mars to Phobos?
that should give a rough starting figure for the fuel haul to the mars vessel.
I see no show-stoppers in the mission roster, so i say:
GO for launch OFMM-P1.
Great work guys. Any dissent from other OFMM members? I know that there was some concern over using the James Cook so I want to make sure that everyone is happy before I post the first scenario.
Nice!:thumbup: Getting the TMI burn down to 4,1 km/s instead of 5,6 km/s is impressive. But we'll have to calculate the orbit that the Cook must have after shakedown mission and keep it there for sometime. I think it would be better if we get the ship back to equatorial orbit and make the TMI burn from there.
Okay, here's a proposal: what if we start the Cook out in an equatorial orbit and then have it return to a higher inclination orbit after the shakedown? This way we're in the proper position for TLI, but we can also take advantage of the benefits that a higher inclination orbit can offer. Your thoughts on this would be appreciated.
Let's get started with the initial missions, I agree. That said, we do have a problem... total (taken from the original 22.6 km/s...8.2 km/s for the lunar mission...total Mars cost is 19.5 km/s...a deficit of about 9 km/s of dV...Can we use some of the space meant for O2 or other consumables and replace it with fuel?
I notice we're sending fuel to Mars in advance. How much of this can get transferred to the Cook?
Can we resupply the Cook after the lunar shakedown?
I think I can free up 1-2 km/s by getting rid of that free return trajectory. Thoughts?
Another refueling mission after the shakedown would be good.
I'd say all of it if neccessary, but that's up to Gary to decide, if the Cook and the orbital tank will be docked for the entire time we are at Mars or if they will be at different orbits.
I don't see any reason to change the roster, but I just started working on the Quasar mission, to see how much fuel it can actually deliver to Mars. I'll have the results sometime later today.
I think that the free return trajectory is expensive but essential for getting the crew back, in case things go wrong. My recommendation is to stick with it.
We need to spend prop to send prop to Mars. Is that prop better used at Mars or before we go to Mars? Personally, I think refueling over Mars is just more fun and adds another Mars mission. not exactly practical I know but hey.... :lol:
how long are we looking at staying at Mars?/QUOTE]
What's the window from Mars to Earth after 2018?
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:hmm: could we come up with an aeroshell for the fuel taqnks and aerocapture?