Detailed
Analysis of Rocket Stability
With A Focus On
How It Relates
Water Rockets
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Robert
Youens
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There are three
points along a rocket that are important in calculation of flight stability:
Center of Gravity
(CG): the point at which the rocket balances.
Center of Lateral
Area (CLA): the point along the rocket where, if you were to attach a pivot
and then hold the rocket in the wind by that pivot,
the wind forces on either side of the CLA are equal, so the rocket wouldn't
point either into or away from the wind: it would be
perpendicularly "wind balanced."
http://u.hornstein.bei.t-online.de/wr_cla_calculator.htm
Center of Pressure
(CP): a point that is often referred to as the aerodynamic center. This is
the point where the aerodynamic forces
acting on the rocket in front of this point is equal to the forces acting
behind this point during normal flight. The only way to truly
calculate this point is through the use of a wind tunnel. Generally CP is
and CLA are very close on rockets that are shorter and wider.
The CP is usually located far behind the CLA on long skinny rockets. To
stabilize a rocket the CG is typically placed 1 or more rocket
diameters ahead of the CP.
Variables you can
adjust to increase stability during ascent.
A. Add mass to the
front (moves CG forward)
B. Decrease mass
in the back (moves CG forward)
C. Increase fin
size (moves CP & CLA backward)
D. Increase number
of fins (moves CP backward with little effect on CLA)
E. Move fins
further back (moves CP and CLA backward)
F. Lengthen rocket
(moves CP back in relationship to CLA)
G. Add helical
twist to fins (moves CP back and induces inertial stability)
H. Check Body
Alignment (Cone, Extension, Pressure Vessel)
I. Check Fin
alignment
J. Make sure mass
is center through the cross section of the rocket
Discuss basics of
passive deployment
Passive deployment
depends on a parachute escaping from its containment area at or near apogee
and opening rather quickly with out
the aid of timers or kick out devices. To achieve this, a rocket must have
initial stability but must have some design characteristic to
make it deploy its parachute. Some different designs that have worked in the
past include:.
A. Rocket falls
slowly through apogee and tall cone separates from the rocket deploying
parachute.
B. Rocket falls
backward at apogee and short cone separates from rocket deploying parachute.
C. Rocket falls
backward at apogee and drone chute on front of rocket pulls out a main
chute.
D. Rocket falls
backward at apogee and goes into a horizontal glide and uses no chute.
E. Spinning rocket
destabilizes at apogee as spin slows down. Cone & chute are freed.
Making a rocket
move slowly or backward through apogee.
Rocket can be
designed so that they will have initial flight stability but will fall
backward or move slowly through apogee. The angle that they
fall backward can be controlled through design. As early as 1938 Robert
Goddard observed a peculiar phenomenon. During a test flight
of his model L-16, a tall, slender rocket, problems were encountered and the
rocket fell from apogee horizontally. The
phenomenon was used in rocket designs over the years but went virtually
unexplained until 2000 when Robert & Peter Always
published a research and development project for the National Association of
Rocketry. (http://members.aol.com/petealway/srrg.htm) They
determined that a backward slide from apogee no longer need be an accidental
quirk, but can be a deliberate design feature. By
designing a rocket so that the CG is located between the CLA and the CP, a
backward movement can be expected after achieving
apogee. Through experimentation, I have found that movement through apogee
can be slowed down, by applying the same principles.
These changes can
be attempted but may destabilize your rocket.
A. Decrease mass
in the front (moves CG backward)
B. Increase mass
in the back (moves CG backward)
C. Move Fins
further forward (moves CLA & CP forward)
These changes will
not decrease stability but will increase the likelihood of slowed apogee or
backslide since the CG is more likely to
fall between the CLA and CP.
D. Decrease fin
size & increase the number of fins (moves CLA forward & moves CP back)
G. Lengthen Rocket
(moves CLA forward & moves CP back)
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