Category Archives: Attitude matrix

Circles of eternal return

Posted on 2017/03/17 by arkajad

Let me recall the particular trajectory that we are discussing. In fact the particular part of this particular trajectory where the flip occurs. Click on the image to open gif animation. It will take time to load as it is … Continue reading →

Posted in Attitude matrix, Dzhanibekov effect, Euler's equations, Quaternions, Stereographic projection | 1 Comment

Quaternion evolution

Posted on 2017/03/16 by arkajad

In this note I will repeat some stuff that I was already explaining in the past, but we will also find some important new stuff. The time evolution differential equation for the attitude matrix is (1)   where is the … Continue reading →

Posted in Attitude matrix, Quaternions | 13 Comments

New wine in new bottles

Posted on 2017/03/15 by arkajad

In my recent post I was presenting new formulas for the attitude matrix, different from those of a month ago. And I did not explain in detail how I got them, and why they look like being in disagreement with … Continue reading →

Posted in Attitude matrix, Euler's equations | 2 Comments