JohnRoth wrote:SNIP
Do we have any textev that Mesa has a single largish moon? No moon, no Lagrange points.
isaac_newton wrote:well, IIRC they could be Sun-Mesa Lagrange points, not necessarily Mesa-'largish moon' Lagrange points
roseandheather wrote:Explain to the physics dumbass like she's five please: what are Lagrange points?
They are five points where you can stash a satellite or orbital habitat and expect it to stay put rather than be in orbit. (Yes, I know that's simplified a bit.) They're usually numbered L1 through L5. L1 is always between the planet and its moon, L2 is on the same line but beyond the moon, L3 is on the same line on the other side of the planet from the moon. They all orbit the same as the moon.
We currently have satellites in the first two Earth-Sun Lagrange points since L1 stays on the line between the Earth and the Sun while L2 is on the same line on the far side of the Earth. L3 is where bad SF puts a "counter-Earth", such as Gor. If you don't get the reference, consider yourself lucky.
There's discussion about putting an Earth-Moon transfer stations in the Earth-Moon L1 and some far-side-of-the-Moon com satellites in the Earth-Moon L2, but as far as I know there's nothing there now.
For story purposes, L1 is between Mesa and Mesa's hypothetical moon, much closer to the moon than to Mesa, and also closer to the Moon than geo-synchronous orbit.
Even if it exists, I tend to question why anyone would put an orbital habitat there: it would be too far out for convenience, and traffic would still have to match orbits with things that are farther in. Even more so for the Sun-Mesa L1 and L2 points.
Wikipedia has a fairly decent article.