@36. Well, most helpful member. I have not been trying to hide anything. The original diagram is there to see.
As I understand it, and what worked, was we had a foto-sensor which reflected a continuous i.r. light off a spot on the flywheel as it went around. This allowed a transistor (as I knew it) to leak to Ground. This acted on the IC to send out a current. (The Sensor circuit was meanwhile recharged via a short time delay). The duration of the current out was "the Accelerator". It split into two, one a short pulse to get the injector solenoid moving, then a longer pulse (the accelerator) which had been determined by the pot (if that is the correct word). I do not understand why the pot was positioned where it was, nor its connections with Resistors - that advice came from this Forum.
At first, we had a "belt & braces" design with much redundency because we were feeling our way. It worked fine (for our single cyl engine). But then this NE555 design was put forward and it did get the engine going but the speed control was absent. I am afraid that is the design I have posted here.
I presume it can be redesigned to work.
I repeat, I think I did say early on that Fire was short, sharp and fixed and Hold was what determined speed. But, whatever. Regarding Next - the input, the signal from the engine is a short pulse as the flywheel passes the IR sensor. Its duration is shorter, obviously, as the engine speeds up. Its minimum duration depends on the size of the reflective spot, to be exact. But it is typically around 10^-4 sec. sec.