Trebuchets operate with gravity being the power behind the throw. On our Habitats, rotational velocity provides the artificial gravity.
Why would you use a portion of that energy to fling something, when you could simply release the object instead, and use all of it?
For extra oomph, extend a boom or tower out for more velocity, aiming it "downward", of course.
The launch was rather uneventful. After closing the zero-volume valves and disconnecting from them, and releasing from the docking clamps, they were slowly deployed by a sturdy cable.
It belayed them for a calculated distance, and at the correct time for their planned trajectory, it released them. No flame, no fuss …
No gravity.
But.. we can make it work.
With rockets!
*Bad idea generated*
I missed a good chance for a pun there.
... gravity being the “Power behind the thrown.”