Re: a (hopefully) simple quaternion question
- From: "Minus XVII" <QncyMI@xxxxxxxxxxxx>
- Date: 5 Oct 2005 12:26:13 -0700
can roll-pitch-yaw be applied
to purely imaginary quaternions, that is to say,
with the "real" part being zero?
> Q = 0.952 + 0.045i + 0.255j + 0.168k
>
> But my desired orientation is
> phi = 0 degrees
> theta = 0 degrees
> psi = 0 degrees
> -OR-
> Q = 1 + 0i + 0j + 0k
>
> If I am thinking in terms of Euler notation, then I know there is a
> pitch error of 30 degrees and need to deflect the elevator to correct
> this. Likewise, the 20 degree yaw error must be countered by rudder
> deflection. However, if I'm thinking in terms of quaternions, then how
> can I go about this?
thus:
I had forgotten that you actually do
use a zero-tet; how about that?
seeing as the fourth coordinate is completely
determined by the other three, though,
it's hard to make a case that "space is 4d" from it;
this is known as homogenous coordination
in the literature, and I'm sure that
that is reflected in WWWolframania --
coming to a stadium near you!
also, I don't see how they're tetrahedrally symmetrical,
with that fourth coordinate; it looks asym.
>If you can use Cartesian coordinates (x,y,z) then you can use
>Synergetics coordinates (a,b,c,-a-b-c).
>>> http://users.adelphia.net/~cnelson9/Links/index_lnk_11.html
--Trickier ***'s Obnoxico?
http://larouchepub.com/other/2005/3237energy_heist.html
.
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