A series of drops from below and at the 66% level:
A series of drops from below and up to the 66% level. The level of 66% of the height from the surface to GEO is the dividing line between orbits that reenter and orbits who's perigees miss the atmosphere. The orange trails in this screenshot are rotated (and distorted) to show the motion relative to the rotating cable. The actual paths (in non-rotating space) are the ellipses we normally expect.
The same series of drops, but with the trails displayed from the point of view of non-rotating space. These are the "actual", normal ellipses we expect.
1) Release from the Earth elevator from the right level and the right angle.
2) Coast up to L1.
3) At L1, add about 1200 fps delta-v to match speed. Grapple moon elevator there. Descend to surface. (Grapple and descent not shown in the first moonshot)
L1 Moonshot 1 -- Released from 123% level and 116 degree difference between Space Elevator and Moon. This trail shows about 5.5 hours of flight based on the rotation of the elevator cable since the release point. The gray horizon/nadir indicator is displayed, as well as the yellow velocity line.
L1 Moonshot 1 -- Arrival at apogee. It looks like we missed L1. We released a little low and a little late. The dim brown line pointing downward from the satellite is the flight path angle magnifier. The path looks like an ellipse, but it is actually elongated and distorted near the top because the influence of the Moon gravity.
L1 Moonshot 1 -- Same situation as above, but the trail is displayed from Moon's point of view (Moon centered and rotated). (The initial part of the trajectory had been automatically erased before the screenshot was made. The release point would have otherwise shown as lagging the moon angle angle by 116 degrees.)
L1 Moonshot 2 -- Similar situation as Moonshot 1. This time, I released the ship from 123.402% altitude and with the Earth space elevator 115.6 degrees behind the Moon. The trail is displayed from Moon's point of view (Moon centered and rotated). This time the ship got close enough grapple the lunar elevator at L1. I matched velocities by adding about 1200 fps just prior to grappling. After grappling, I lowered the ship to the Moon's surface. Unlike the previous screenshot, the release point is shown by the trail as being the same 115.8 degrees behind the Moon's angle (no trail dots got eaten this time).