I cannot find any references to this game so maybe someone here will recall it:
It was a full-sized arcade cabinet with an aircraft-yoke type controller with fire buttons on the tip of the yoke. I seem to recall rubbery handles on the yoke that looked like they came from a kid's bike handlbars. This controlled the player vehicle, which I seem to recall looking like a TIE fighter (or perhaps the enemies were?), turning it moved left and right and pushing into the cabinet moved upwards. There was a deliberate slowness in the motions to make it more difficult
The action took place in a moving graphic that looked like you were flying up the Death Star trench. But you weren't - the game was actually 2D although the perspective use was very clever such that it looked like you were above the surface of a rapidly rotating DS.
Enemies would approach from the sides near the top of the display, at the "horizon" of the trench, where they could not be shot. They would then enter and begin approaching you. You shot upward at them. I seem to recall they sometimes laid a barrier of some sort a-la Pleiades?
No, this is not any variation of Star Wars. This was a 3rd party product using a B&W television as the monitor. Unfortunately SW related games so polute Google I can't find any trace of it. This would have likely been in the 80/81 time frame.