Blog #Rotations

We can integrate kinematic differential equations to determine both 1) where an object will be and 2) what orientation it will have after a specified amount of time. In this post I describe the mathematical procedure, and implement the solution in Python.

With a lack of complete basis vector representation for the two coordinate systems, there are an infinite number of rotation matrices, or axis-angle combinations that can be applied to achieve a desired vector mapping. However, here we define the constrained nature of the solution space.