Addendum/clarification of previous post, lest the point be lost...
...I understand that the LEO-L2 transfer you have Artemis program proposing is not Farquhar's minimum-cost orbit; the fact you describe it as "hyperbolic" demonstrates that! And while clearly a hyperbolic, exceeding-escape velocity TLI is a higher delta-V than the 1960s-70s Apollo program used, I think by now most of us here understand that the delta-V increment at that point is probably pretty small, and might be little more than the incremental improvements in engine efficiency and structural lightening between the 1960s design period of Apollo and the 1990s of Artemis allow for. So the payload reduction to L2 is not much, and I suppose the transit time might even be in the same ballpark as the time to LOI of Apollo.
But given the faster transfer, Farquhar's figure for halo orbit injection must clearly be out the window! If the period of time between passing by Luna at perilune and reaching the region of L2 is a lot less than Farquhar's 3 days, then that suggests to me the halo orbit insertion burn has to be a much higher one, to brake down the excess speed. So that might be where the big difference in payload to L2 comes in.
And then, there we are, IIRC E-M L1 & L2 are roughly as far from Luna as geosynchronous orbit is from Earth, around 40,000 km. That's awfully far from Luna, and obviously it will take more time to get to and from Luna. The time savings by going hyperbolically instead of on the fast ellipse OTL Apollo used to reach Luna probably can't offset the extra time to go on from there to L2, and then there's no margin left to offset the extra time to and from the Lunar surface.
Artemis missions are going to be much longer in duration than Apollo missions. The radiation exposure issues are not being mitigated, but increased.
I suppose longer transfer times are not so bad in the context of the mission that proposed to stay on Luna longer anyway, weeks instead of days. But the transfers are still going to be a significant chunk of their deep-space time.
As I understand it, L2 has advantages over L1 for more far-sighted purposes than sorties to Luna's surface--for deeper space missions, and because it can be reached (via slow orbits) more economically than L1. But since Artemis program will not build up any reused infrastructure in cisLunar space, for Lunar or deep-space purposes, and since the craft that goes to the Lagrange point is the manned one and uses a faster, less economic trajectory anyway, have you given any consideration, if LLO is out, to staging out of L1 instead?
L1 is of course closer to Earth rather than farther away; a craft in a tight halo orbit there would always be in line of sight of Earth, never eclipsed; given the choice to use fast transfers, L1 can be reached sooner than near-Luna space rather than after it. And in terms of reaching any desired point on the Moon it is pretty much equivalent to L2.
So even if the choice of L2 staging is driven by an unspoken NASA agenda to prepare the way for future Lunar-region bases and deep space missions that would actually require the outer point, for one-shot sorties that seek to develop the technique of staging out of such saddle points, L1 should be good enough for this stage of operations, teaching most of the lessons we'd need to use L2.
The economics, and the time required to go to and from Luna, will unfortunately remain just as oddly disadvantageous, but at least we ought to save some time getting to the Lagrange point, which makes the other costs easier to bear.
...I understand that the LEO-L2 transfer you have Artemis program proposing is not Farquhar's minimum-cost orbit; the fact you describe it as "hyperbolic" demonstrates that! And while clearly a hyperbolic, exceeding-escape velocity TLI is a higher delta-V than the 1960s-70s Apollo program used, I think by now most of us here understand that the delta-V increment at that point is probably pretty small, and might be little more than the incremental improvements in engine efficiency and structural lightening between the 1960s design period of Apollo and the 1990s of Artemis allow for. So the payload reduction to L2 is not much, and I suppose the transit time might even be in the same ballpark as the time to LOI of Apollo.
But given the faster transfer, Farquhar's figure for halo orbit injection must clearly be out the window! If the period of time between passing by Luna at perilune and reaching the region of L2 is a lot less than Farquhar's 3 days, then that suggests to me the halo orbit insertion burn has to be a much higher one, to brake down the excess speed. So that might be where the big difference in payload to L2 comes in.
And then, there we are, IIRC E-M L1 & L2 are roughly as far from Luna as geosynchronous orbit is from Earth, around 40,000 km. That's awfully far from Luna, and obviously it will take more time to get to and from Luna. The time savings by going hyperbolically instead of on the fast ellipse OTL Apollo used to reach Luna probably can't offset the extra time to go on from there to L2, and then there's no margin left to offset the extra time to and from the Lunar surface.
Artemis missions are going to be much longer in duration than Apollo missions. The radiation exposure issues are not being mitigated, but increased.
I suppose longer transfer times are not so bad in the context of the mission that proposed to stay on Luna longer anyway, weeks instead of days. But the transfers are still going to be a significant chunk of their deep-space time.
As I understand it, L2 has advantages over L1 for more far-sighted purposes than sorties to Luna's surface--for deeper space missions, and because it can be reached (via slow orbits) more economically than L1. But since Artemis program will not build up any reused infrastructure in cisLunar space, for Lunar or deep-space purposes, and since the craft that goes to the Lagrange point is the manned one and uses a faster, less economic trajectory anyway, have you given any consideration, if LLO is out, to staging out of L1 instead?
L1 is of course closer to Earth rather than farther away; a craft in a tight halo orbit there would always be in line of sight of Earth, never eclipsed; given the choice to use fast transfers, L1 can be reached sooner than near-Luna space rather than after it. And in terms of reaching any desired point on the Moon it is pretty much equivalent to L2.
So even if the choice of L2 staging is driven by an unspoken NASA agenda to prepare the way for future Lunar-region bases and deep space missions that would actually require the outer point, for one-shot sorties that seek to develop the technique of staging out of such saddle points, L1 should be good enough for this stage of operations, teaching most of the lessons we'd need to use L2.
The economics, and the time required to go to and from Luna, will unfortunately remain just as oddly disadvantageous, but at least we ought to save some time getting to the Lagrange point, which makes the other costs easier to bear.