update: I've found "patch points" mentioned throughout the following papers; it is likely that an answer can be found from these sources.
- Targeting Cislunar Near Rectilinear Halo Orbits for Human Space Exploration
- Stationkeeping and Transfer Trajectory Design for Spacecraft in Cislunar Space
- Multibody Orbit Architectures for Lunar South Pole Coverage
The excellent AI Solutions video Near Rectilinear Halo Orbit Explained and Visualized illustrates what the orbit looks like, how it fits in to various families of halo orbits, and shows this interesting insight into how the orbit can be constructed mathematically.
Patch points from the circular restricted model are iteratively corrected into a continuous, quasi-periodic halo orbit in a high-fidelity force model.
The "circular restricted" model is that of the Earth and Moon's masses in circular orbits around their common center of mass, and the "high-fidelity force model" would be a realistic simulation taking into account the real motion of the Earth and Moon as well as their orbit around the Sun and probably several other effects.
But I don't understand this short explanation; "Patch points... are iteratively corrected into a continuous, quasi-periodic halo orbit..."
Question: How does one iteratively correct patch points in this case? What does this mean? Is it possible to explain the procedure a bit further?
For more on the Gateway's orbit, see