Orbit is the program that Emily and I used to model all of this. It was written by Brian Carcich at Cornell University. It's a really cool program! To use it, we run a determined number of frames and save them. The menu in the lower left allows you to alter the timing of the frames, the pointing of the spacecraft, the duration of picture taking, and the time between frames.
Once we have these frames, we can run a process that makes the plate model. "Plate models" are images you make in which all the frames you took are put together in one model, to create a three dimensional image of what NEAR would see in a given time period with given camera angles. Most of my slides are plate models.