For the benefit of anyone else who might encounter this problem I ended up discerning that the limit's value takes the form of a rotation of the axis-vector a by -r/2.
Interestingly, this reflects the quaternion double-cover property as it doesn't repeat until the radius-2∏ shell of SO(3).
I am utilitizing rotation vectors (or SORA rotations if you care to call them that) as a means of splitting 3D rotations into three scalar orthogonal variables which are impervious to gimbal lock. (see SO(3))
These variables are exposed to a least-squares optimization algorithm which...
Triangle's contributory moment of inertia :D
[SIZE="6"]Howdy.
I'm designing a 2-dimensional physics engine for use in games and simulations and have hit a roadblock.
The rotation system requires a value corresponding to the proportion between an object's regular inertia and its rotational...