On Thu, 2003-10-23 at 14:55, Pierce Nichols wrote:
> On Thu, 2003-10-23 at 00:15, David Masten wrote:
> 
> > I had figured that to yaw left decrease left engine thrust and increase
> > right engine thrust simultaneously. Since opposite motors generate
> > torque in the same direction this should mean no (little) torque change.
> 
>       Neither the strategy you propose nor John's strategy eliminate
> cross-axis coupling. Both strategies still produces coupling to the roll
> axis when maneuvering in both pitch and yaw at the same time. 

I'm having problems visualizing the coupling problem. 

If we have a POGO type vehicle and roll is the rotation around the axis
perpendicular to the ground when not flying. Engines are:
#1 at a,0,0 cant gives +roll
#2 at -a,0,0 cant gives +roll
#3 at 0,a,0 cant gives -roll
#4 at 0,-a,0 cant gives -roll

We assume that the vehicle is hovering with no wind. We wish to give the
vehicle a vector of force - (1,1,0) thus moving obliquely. We do not
care about maintaining altitude (for now), but we wish to not induce
roll.

    thrust      roll    change for axis
#1  -1          -1
#2  +1          +1      0
#3  -1          -1
#4  +1          +1      0

So we have no change in roll, while changing pitch and yaw.

What about the case of force change (2,1,0)?
    thrust      roll  change for axis
#1  -2          -2
#2  +2          +2      0
#3  -1          -1
#4  +1          +1      0

Still, rolls cancel. Okay, lets look at maintaining altitude (2,1,0):

#1  -1.9        -1.9
#2  +2.1        +2.1    +0.2
#3  -0.9        -0.9
#4  +1.1        +1.1    -0.2

Looks like they still cancel.

What am I missing?

Dave

-- 
David Masten <[EMAIL PROTECTED]>

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