Category Archives: Moments of inertia

Attitude matrix and quaternion path for m>1

Posted on 2017/03/22 by arkajad

I noticed that somehow I did not finish with the case So today, without further ado, I am posting the algorithm. We have the body with and we are considering the case with , where is, as always, the ratio … Continue reading →

Posted in Attitude matrix, Elliptic functions, Moments of inertia, Quaternions, Stereographic projection | 20 Comments

The mysterious paths on the three-sphere

Posted on 2017/03/12 by arkajad

Wherever you are, whatever you do, there is a certain special direction that takes you out of the infinite labyrinth, and leads to the reincarnation cycle getting closer and closer to the ideal path. Ordinary people do not know about … Continue reading →

Posted in Attitude matrix, Dzhanibekov effect, Moments of inertia, Quaternions, Spin and rotations, Stereographic projection | 2 Comments

Approaching the ultimate answer for m<1

Posted on 2017/03/05 by arkajad

Far out in the uncharted backwaters of the unfashionable end of the Western Spiral arm of the Galaxy lies a small unregarded yellow sun. Orbiting this at a distance of roughly ninety-eight million miles is an utterly insignificant little blue-green … Continue reading →

Posted in Attitude matrix, Elliptic functions, Euler's equations, Moments of inertia | 13 Comments