I am a reader of The Associated Worlds worldbuilding project, and the author had, all the way back in 2015, given physical parameters for his not-quite-flat world of Eliéra, to which was recently asked the question "how do orbits around that work". Here's a simulation using the Eliera surface frame-of-reference. Press r to restart the simulation.
Readout
Position: km, km Velocity: km/s, km/s