Let us assume two points in 3D space and we only care about their orientation, no velocity, position or acceleration.
Now connect those two points with a rigid body of certain length, so that the orientation of each of them depends on the other.
I think there is a constant function which represents the constant relationship between those points as their orientation is interdependent.
And that constant function depends on the distance between them and angles of the two points w.r.t 3 co-ordinate axis. But it is always constant.
Now I'm a 12th grade high school student and limitations of high school Mathematics is limiting my imagination of how should I approach the problem to find the function, please recommend some books where I can study so that I can solve this problem because I don't even know which part of mathematics this problem belongs to.
I need to solve this because I'm making a flight controller for quad-copter, and MEMS(Micro Electro-Mechanical System) Gyroscopes are prone to tremendous drift, which can be treated as a function of time.
By connecting two gyroscopes to a rigid body, and determining the value of that constant function which I described above, I can put the raw measurements in that function and compare it with the Ideal or theoretical function and then determine the deviation of the function with measured value to the ideal one, I may be able to determine the drift and compensate for it.
Pardon my mistakes I'm new here