Hello Dimitri.
First of all, regarding the joke with the manual. As a cnc technician, playing with the joystick as you said without reading the manual first is out of the question. A mistake that can cost minimum 2k euro makes me sing all the way to the machin "RTFM RTFM RTFM RTFM"... which stands for Read The F@king Manual

So, regarding the solar tracker. Before you go into the electronics, you have some bigger problems to solve, and i mean bigger, like the mechanical. First you need to decide what motor you will be using. AC? DC? stepper? brushless? brushed? Then we can start talking about the solar tracker circuit. For me, the simplest method is to use a plain DC motor, and make a differential amplifier to control the motor. But to make the circuit reliable, you must use a microcontroller, otherwise you will need to design a huge circuit. You have to predict solutions for situations such as sudden cloud and staff.
When i was in the army, i had plenty of time to think (as a matter of fact i learned PIC in the army). During that time, i was also working on a "solar tracking" project but not for this application. The application was completely different. But after many hours of thinking and designs, it suddenly hit me: Solar Trackers are useless, totally! All you need to do is to find the position on earth that you will install the system and calculate the sun path. Level the system with the sea and that's all. Then get a microcontroller with an RTC and put it to work. This system will be so reliable, that it will follow the sun with astronomical precision, even if the sun is covered behind 10KM of black clouds.
And don't let the microcontroller scare you. If you plan to go into electronics, the road eventually leads to microcontrollers.