On Fri, 2003-10-03 at 21:28, Randall Clague 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?

I think there is an unstated assumption here. The long burn time comes
with lower acceleration.

The gravity turn looks identical second for second along the horizontal
(with a bunch of simplifying assumptions), but is quite different in the
vertical.

Dave
-- 
David Masten <[EMAIL PROTECTED]>
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