--- Randall Clague <[EMAIL PROTECTED]> wrote:
> On Fri, 03 Oct 2003 10:20:44 -0700, Pierce Nichols
> <[EMAIL PROTECTED]> wrote:
> >     Long burn time passively guided rockets have a
> tendency to do rather
> >extreme gravity turn maneuvers that result in lots
> and lots of
> >horizontal velocity at burnout. Hence, the slant
> range and dispersion
> >are greater.
> 
> OK - this matches both my observations and my
> intuition.  But, I don't
> see why this is so.  Mathematically, it seems to me
> that a gravity
> turn is independent of whether the vehicle is under
> power; and that ,
> second for second, the trajectory will look the
> same, powered or not.
> What is different is the proportion of the flight
> that is powered.
> 
> Can someone resolve this paradox?

Just a guess but, manufacturing error?  As in, the
vehicle isn't absolutely perfectly balanced.  It's
balanced within a certain margin of error, perhaps
down to the lowest level one can measure, but there's
imbalance beneath that threshold.  Under active
control, one scarcely notices: correct as if one were
correcting for a bit of turbulence, so it seems little
different from other noise in the system.  Under
passive control, though, it builds up: once you're
pointing just a bit to the side, if your center of
mass isn't exactly in the middle of the vehicle, drag
will exert a net torque around that center - and
whatever imbalance caused the initial rotation may be
magnified.  Or even with a perfectly balanced rocket,
a small gust of wind can induce a torque, turning the
rocket so drag alone can induce more.
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