Aerobabel

09/08/2022

WHAT ARE QUARTERNIONS?

QUARTERNIONS are methods of representing the 3D motion of objects on a 4D hypersphere. They're easier to implement than they are harder to understand, unlike Euler angles which are a matrix of transformations in succession. Every form of rotation can be represented by three or less rotations around three or less axis. The problem with Euler's transformation or the cosine matrix is that they experience a phenomenon known as the gimbal lock, where one axis is forced to follow the path of another axis during rotation. QUARTERNIONS avoid this problem, since we defined every form of rotation ourselves using imaginary directional units and a scalar.

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03/08/2022

01/08/2022

29/04/2022

Do you like working with matrices when calculating flight dynamics, or you use the system of equations directly. Matrices are more efficient though as they're easily computed and express transformations of forces and/or velocities for any change in direction in a coordinate system.