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Space Exploration

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  • $\begingroup$ The angular derivatives are the angular velocity. $\endgroup$
    – Greg Miller
    Commented Jan 16 at 19:37
  • 2
    $\begingroup$ @GregMiller Angular velocity in three dimensional space is a vector quantity in the sense of how they transform from one frame to another. If one frame is rotating with respect to another, the transport theorem also needs to be taken into account. The derivatives of an Euler angle sequence do not behave as do vectors. $\endgroup$
    – David Hammen
    Commented Jan 16 at 22:43
  • 1
    $\begingroup$ they're generally called "Euler rates" or "Euler-angle rates" in my experience. Tons of literature out there about how to convert between those and angular velocity vectors $\endgroup$
    – Erin Anne
    Commented Jan 17 at 1:12
  • $\begingroup$ Thanks! Yes, I have found multiple sources describing the conversion for specific rotation sequences, such as this , providing conversions for rotation sequences ZYX and ZXZ in equations 22 and 24. But I was looking for possibly some reference covering all 12 valid rotation sequences $\endgroup$
    – Rafa
    Commented Jan 17 at 1:21