MHB Starting with center of thrust to find amount of force on each point?

AI Thread Summary
The discussion revolves around calculating the thrust required for helicopter blades in the game From the Depths. The user seeks to determine how much thrust each blade needs based on the center of thrust, given the ship's weight, center of mass, and blade positions. They reference a formula from Flite Test but struggle with applying it to their scenario, particularly when power is limited to 50% of maximum. The user is looking for a systematic approach to solve for the thrust values of the blades rather than relying on trial and error. Assistance in developing a method for this calculation is requested.
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I'm playing a game, From the Depths, that let's you build your own helicopter blades (and put them on ships that you build) and program in LUA.

I did some searching and found: Calculating the Center of Thrust on Multirotors | Flite Test

Currently, there is no way to tell how much lift a given helicopter blade has.
What is known is:
- how heavy the ship is
-the location of the center of mass
- the location and direction of each helicopter blade.What I'm having trouble doing is starting out with the center of thrust and finding out how much thrust each blade needs to have out of a possible -100% to +100% power.IE: (to take from the link above)
How would you solve:
8.33 = (a*0 + s*10 + d*15) / (a+s+d)
Solve for a and s and d when power is at 50% of the maximum possible power.

Bonus: Use something that includes V/A-tail thrust
 
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I really don't know how I would go about solving this aside from just using guess and check.

Any help on finding a method would be appreciated.
 
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