Lagrange points are handy places to put your stuff if you’re interested in finding it again. The L4 and L5 points (bean-shaped halo orbits, really) are preferable because they work like gravitational sinkholes. You don’t need to spend propellant in stationkeeping maintenance to stay there like you need to do at saddles like L1 or L2.

In Terminal Cruise I like L4 for my stuff, and L5 to dump the expended fission thermal engines to get my stuff there.

The L3 point always has the Earth blocking any view of the Moon so that’s where we should to build a deep-space treatment center for Lycanthropy.

Apollo-Sigma uses the Saturn 1B, which is capable of delivering 21,000 kg to LEO. The payload is a Centaur D-1T kick stage with a 10-foot hemispherical capsule for a two man crew. The mass of the Centaur D-1T is 15,320 kg (1,830 kg inert + 13,490 kg propellant) and the mass of the capsule is 5,200 kg. The Apollo-Sigma vehicle only requires potable water, oxygen, food, and electrical power for seven days. Once reaching the Cynthia station at Earth-Moon L1 the ship is placed on standby and the crew transfers to the station to use the station’s life support. Total initial mass in LEO is 20,070 kg (well within Saturn 1B’s capacity). Total final mass is 6,680 kg (capsule + dry Centaur). Centaur specific impulse is 444 seconds. Mission delta-v is about 4,800 m/s. Margin for error is about 350 m/s at Cynthia arrival.

A fully-fueled S-IVB third stage (120,500kg) was placed in LEO by the Saturn V intended for Apollo 20, with a 15,600 kg habitation module payload. A Saturn 1B delivered a 3.2 meter diameter command module mated to a Centaur D-1T kick stage (total mass 15,310 kg) and the “Prometheus” vehicle was assembled in orbit. The intent of the Americans was not to develop Midway as a waystation but rather to perform surveillance of Soviet and General Materials operations there. The funding was Department of Defense ‘dark money’. The HabMod was outfitted with exercise equipment, a sensor suite, food, water, and supplies for the 5.5 month outbound trip and the initial stay at Midway, and was also used on the return leg. The spent S-IVB “wet workshop” with a habitable 10,000 cubic foot empty hydrogen tank (the LOX tank became a waste sump) was abandoned at Midway, where it was salvaged by the Soviet/GenMat team, to the annoyance of the US President. GenMat supplied the USSR with a compatible docking node module.