After plotting Timothy's posts vs. position of the sun in the sky, I started deciding I liked that viewpoint and it's more helpful to someone oriented on the surface of a planet. 

I took that and applied it to the system I'd been posting about. This is from the viewpoint of the surface of the planet, at 55 degrees North Latitude and 0 degrees Longitude, and the planet has an axial tilt of 31 degrees, though this is rendered at the spring equinox. This motion gif runs at 1 second playtime = 5 minutes simulated. It starts 1 hour before sunrise: 

The sun is represented by the yellow sphere, a superior planet (Shnuka) is rendered as a white sphere in the far southern sky, and an inferior planet (Silvernight) is rendered as a white sphere more to the east. As the render starts Silvernight is acting as a morning star, about magnitude -3.75 and Shnuka is visible at magnitude +0.70. Hot Chi, the system's somewhat distant gas giant, is just about to set in the west prior to sunrise but is also visible at magnitude +2.47.

Just after sunrise the starship (Hamiltonian), in low polar orbit, zips across the western sky. Also just after sunrise a communications relay satellite rises in the south, and slowly climbs toward the north throughout the day. Just after midday, another communications relay satellite (also denoted as a red dot) rises in the west in apparent retrograde motion across the sky. Much like Phobos from the surface of Mars, the orbit is low enough that it outruns the rotation of the planet. 

What I think would be interesting to do with this is to plot terrain rather than a flat plane as the surface, compute shadows cast from the sun or forests (and render them), give an idea of how illuminated any particular area is (report in computed lux if the players are familiar with those kinds of units), and if characters descend into a canyon or otherwise become limited in visibility from one of the communications relays, disrupt their communications. It'd be nice to dump the positioning information into a real renderer, and as play progresses, an up-to-date view of the sky is shown to the players. Then the referee doesn't have to mention an unusual new star rising on evening #5, the players might notice it or they might not. Players might not want to march in the direction of the azimuth of any of the system's stars, so as not to blind themselves. 

players would be able to theoretically conduct celestial navigation from the sky plots, though I very much doubt anyone would ever do that. 

This is all most definitely "IMTU" and Traveller itself should probably have quotes around it - the prior discussion about traveller ships generally not needing to orbit and the other caveats is well taken.