Solar Tracking System: testing, maths, and solution

In this guide I'll first hand out the solution for a vertical solar tracking system, with an horizontal adding later on.
What follows is a recap of the testing, and the maths behind the search for perfection.

The Solution!

(with variable 13.5 set for the moon)

Production List:

• Kit(s) (Solar Panel)
  
• 1 x Kit (Sensors)
  
• 2 x Kit (Logic I/O)
  
• 6 x Kit (Logic Processor)
  
• 4 x Kit (Logic Memory)

Selection List:

• for the Kit (Sensors)
  - Daylight Sensor (facing sunrise)
  
• for the 2 Kits (Logic I/O)
  - 1 x Logic Reader
  - 1 x Batch Writer
  
• for the 6 Kits (Logic Processor)
  - 1 x Math Unary
  - 3 x Logic Math
  - 2 x Logic Min/Max

work in progress

The Testing, Results, and Maths!

Obstacle 1: converting 180° to 100%

Not a difficult thing to do, as it's only dividing the degrees by 180 and multiply it by 100 to get the % you need to send to your solar panel.

Simplified:

divide by 1.8

Test 1: plus results

A simple setup, with a Logic Reader to read the solar angle, one memory to hold the number 1.8, a Logic Math to divide the solar angle by 1.8, and a Batch Writer to send the result to the solar panels.

The test resulted in two new obstacles:

gradual loss of efficiency towards the horizons

and the need to do opposite calculations

Now math is like being an electrician or technician. You take a look in the tool box, to see if you can find something useful to fix things. There maybe some tools that'll do just fine for more jobs!
If that's the case for our two obstacles, I say, we hit the jackpot.
And we did, in the form of the Cosinus!

Obstacle 2: cosinus characteristic A

With characteristic A of the Cosinus, where its value gradually increases towards the horizons, we got a perfect tool to fix our second obstacle.

Obstacle 3: cosinus characteristic B

The charateristic B of the Cosinus fixes our third obstacle, where it provides us with an opposite value, on both sides of the 90°.

With all tools in hand, (the converting from ° to %, the increasing value towards the horizons, and the opposite maths for both sides of the 90°) we now only lack the amount of times we need to multiply the cosinus to measure up with the actual deviation.

Test 2: variable 13.5

With the setup seen in upper section Solution, I've tested the variable with values:
10, 15, 13, 14, 12, 13.5

preliminary diagnosis:

for now I stay with 13.5 as the variable for the moon

Feel free to experiment further with a more accurate variable. And let me know if you find one!
Maybe later in the game, just started, I'll find tools to make more precise observations.
If so, the saga of variable x will continue...

[Noosebrother]

this is why i suck at this game.. i can't do numbers.

[omanous darkness (PCMR)]

any idea what it is for the other planets?

[Caesar]

Looks good, looking forward to trying it out!