If you put a satellite at L4 or L5, it would stay there. But the question is, why would you? I can’t think of any reason you’d want to keep a satellite there. There are plenty of things that could work just fine there, but they’re all things that it also wouldn’t matter if they wandered around some. Those points would also have the disadvantage of being a very high orbit, and so needing more energy to launch to them, and needing more powerful antennas to communicate, and because they’re stable points, they tend to accumulate dust and other junk that would probably be bad for your device.
Lagrangian points: just checking my knowledge in this orbit thread. Yay! Leo makes a non-nonsensical statement!
(I await corrections…:))
But since we’re thread-drifting (heh), given the stuff up-thread about precession and tides, how are there distinct moon/Earth points? Shouldn’t they shift around?
I think perturbations from the Sun, the other planets, and the non-sphericities in the Earth would cause objects at the L4/L5 points to move a bit, circling the ideal locations of the points.
That’s expected behavior for objects at L4/5 points. Check out the positions of Trojan asteroids, which are at the Sun-Jupiter L4/5 points. None are actually at the Lagrange points. They all oscillate around the points, usually in long kidney-bean-shaped figures. By long, I mean that some can get as close as 30degrees from Jupiter (the Lagrange points are 60degrees away).
When the moon is apparently stationary over one spot on earth, then isn’t that a geostationary orbit? But its current orbit is much further out than that, and it’s receding, so… help me out here… how can it begin to decay?
Yeah, L1 and L2 have practical uses, but they’re also unstable, so any satellite sitting on one of them needs station-keeping thrusters to prevent it drifting off. L3 (the one on the far side of the Sun) is also unstable, but I can’t think of any practical use for it off the top of my head (there may be one, but I can’t think of what it would be).