--- David Weinshenker <[EMAIL PROTECTED]> wrote:
> (A ring of 8 engines, with 2 oppositely-canted units
> at 
> each "corner", would allow roll control to be much
> more 
> independent of yaw-pitch operations.)

6 engines, arranged the same but at corners of a
triangle, would also work.  That's the magic number
for this pair trick: you have to have an even number,
and 2*2 or 1*2 doesn't give you both yaw and pitch (or
gives you at most three of +yaw, -yaw, +pitch, and
-pitch).

For identical engines which can only be set to +roll
or -roll, and not, say, +0.5 roll, the magic number is
probably either 6 or 4.  6 works as described above; 4
works as Dave M. described.  5 or 3 would not seem to
allow for symmetrical solutions - if +p, +y can get no
roll, then -p, -y can't, or maybe +p, -y or -p, +y -
without placing two engines so close together they
might as well be one.  And of course one can't
robustly balance a rocket on 1 or 2 immobile (relative
to the rocket) engines (place one engine a millimeter
off, and...).
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