THE EXCITING ROCKET SCIENCE SECTION:
Staging works due to the construction of the booster motors. Unlike the
single stage motor, a booster motor has no delay or ejection charge. As the
propellant burns through the end of the grain, the burn surface area is
increased and the remaining propellant is consumed in a virtual flash. This over-pressurizes
the casing, sending a shockwave of hot gas and a shower of burning propellant
particles forward. It is these burning particles that enter the upper stage
motor nozzle and ignite it.
The reason we have to tape the motors together for direct staging is that,
fast as the shower of burning particles is, the shockwave moves at roughly the
speed of sound and can blow the stages apart before the particles arrive. The
tape prevents separation until the heat of upper stage ignition melts through
the adhesive.
Gap staging takes an opposite approach. Rather than fighting the shockwave,
the gas pressure is vented out of the space between the motors. When the upper
stage motor is ignited, the sudden acceleration of the upper stage separates it
from the booster.
CONSTRUCTION:
The mainstay of gap staging is, of course, the gap (duh!). According to
Stine, the gap can be as long as 16 inches with no measurable loss of staging
reliability. I am assuming that this holds true only for models where a
minimum-diameter tube bridges the gap between the motors. I certainly would not
attempt open-air gap staging across that distance, nor try it with 18mm motors
bridged with larger-diameter tubing.
If you are building with a minimum-diameter airframe, all you need do is make
your booster motor longer than it needs to be for direct staging and cut a pair
of exhaust ports on opposite sides of the booster tube between the forward end
of the booster motor and nozzle end of the upper stage motor. I usually make the
ports about ¼" in diameter, though smaller ports in greater number may be
used as well. Bear in mind that since the upper stage motor will also act as the
stage coupler, you will need it to protrude further from the upper stage body. I’d
recommend at least 3/8" for 13mm motors, up to ¾" for 24mm motors.
Take this into account when determining how long to make your booster, and make
sure you coat the inside surface of the gap with epoxy to increase the life of
the tube.
If you are building a larger-than-minimum diameter model, construction
becomes a little trickier. You will be able to use a standard stage coupler,
glued into the forward end of the booster body tube. Make the motor tube long
enough to extend all the way forward and even with the end of the coupler—this
will make mating the stages together much easier.
Cut vent holes in the motor tube as with the minimum-diameter model; you will
also need to provide vents for the gases to escape to the outside air. You can
simply cut another set of vents into the outer body tube, if you like. If the
inherent drag of airframe holes is undesirable, you can cover these during
flight with small pieces of cellophane tape which you have
"de-stickified" by tacking them to the back of your hand once or
twice. The tape will adhere to the body tube well enough to restore the
streamlining, but will blow off easily when the pressure wave hits. The other
option is to cut sizable gaps in the centering rings to the rear of the motor
tube vents, or to use spacer strips instead of rings. This permits the gases to
vent out the rear of the booster in the gap between the tubes.
Regardless of which method you use, you will also need to prevent the gases
from pressurizing the space between the stages. This is easily done by mounting
a centering ring against the rear of the coupler with the motor tube vent holes
immediately rear of the ring.
The only concessions in construction you need to make with the upper stage
are making sure the rear centering ring on the motor mount is far enough forward
to allow room for the stage coupler, and mounting the rear of the motor tube
even with the rear of the body tube. The standard motor protrusion will help
staging reliability. If you want to use a motor hook on the upper stage, you can
cut a small notch in the booster motor tube to accommodate it when the stages
are mated.
NOTE: There has been some question of whether the vent holes should be
cut closer to the booster motor, closer to the upper stage motor, or more toward
the middle. What little experimental data there is suggests that there is no
measurable difference in reliability for any configuration. Personally, I cut
the vent holes as close to the upper stage motor nozzle as possible. My
reasoning is that vent holes cut further to the rear may create a lower-pressure
area behind the cascade of hot propellant, thus reducing their velocity and
chance of igniting the upper motor. With the holes directly behind the upper
motor nozzle the pressure wave continues to accelerate the particles, venting
just before impact. Again, this is based on pure theory, not on experimental
data.
Some scale models such as the Aerobee series use a booster that is physically
separated from the upper stage by open air. I have seen several of these models
flown successfully, gap-staging across the intervening space. The technique is
not for novices, though it’s well worth the effort.
Construction is very much the same, with a few inherent difficulties. The
booster motor tube should be extended as far forward as possible without
compromising the scale qualities of the model, and the gap should be as small as
possible. There is, to my knowledge, no research on "open-air gap size vs.
ignition reliability," so hedge your bets on this. Just as a rough guide, I
wouldn’t use a gap longer than about six inches.
Coupler fit between the booster and upper stages is critical! The staging
charge blasting backward will tend to separate the stages, possibly before the
upper stage ignites, and the coupler must fit snugly enough to prevent this. On
the flipside, if the coupler fits too tightly, the stages won’t
separate at all. This condition results in much-reduced thrust as the upper
stage motor pushes back against the dead booster and crispy-fries it.
In addition, the staging blast can cause a drop in the model’s velocity
visible to the naked eye, so bear this in mind when building in those stability
margins. This same blast can cause burn damage to the upper stage, and in return
the upper stage motor can cause some pretty impressive damage to the booster. So
take measures to protect them both.
AN OUNCE OF PREVENTION:
As mentioned before, the hot gases and leftover particles of burning
propellant—as well as the backblast from the upper stage motor—can tear up
the inside of the booster stage and blister the daylights out of any paint on
the body tube (especially bad for scale models!). Unless you are building a one-
or two-shot competition model, your rocket must have some protection
against this internal inferno.
The standard method is to coat all surfaces exposed to the venting gases with
epoxy. This is a painstaking procedure, but one which works quite well. It does
not, however, do much to protect paint from heat-blistering unless you put on a
thick coating.
A second method is to use a piece of bond typing paper as a temporary inner
liner. The hot particles will expend their fury on the paper and largely spare
your poor tube. Between flights you merely remove the old liner, replace it with
a new one and fly again. This method offers a bit more protection to the paint
by ablating the heat away, but does not entirely protect the tube when larger
burning chunks burn clear through the liner. Also, you can’t use it to protect
the outer body tube on a larger-than-minimum diameter model since there’s no
way to insert it.
A good compromise method (especially for those outer body tubes) is to use
epoxy to bond a layer of aluminum foil to the inside surface of the tube. The
foil doesn’t burn through as easily as paper does, dissipates the heat by
quickly conducting it away from the source, and if it does burn through there’s
still a layer of epoxy to contend with. It is, however, more difficult to build
into the model. Jim Fackert of Totally Tubular now sells heavy-walled tubes with
an inner layer of foil. These are ideal for gap-staged motor tubes but not for
outer body tubes (since it’s very hard to glue anything to the inner foil
lining).
ON THE ROAD TO RECOVERY:
For comparatively short and lightweight booster stages, recovery isn’t
a problem. With a spent casing in it, even a moderately long booster stage will
tumble or settle into an "Alway glide*" for a safe landing. But longer
boosters will tend to streamline in, creating a safety hazard; heavier boosters
are a safety hazard whether they tumble or not. In these two cases, safe
recovery must be established.
Booster recovery is an article unto itself, and one that I will address at a
later date. Suffice to say that it is imperative that you determine the mass and
stability characteristics of any booster stages, and provide for safe recovery.
I was not aware until after construction was completed that the first stage of
my 1:8 scale Astrobee 500 (see the November ’97 Woosh Pop) weighed in
at over six ounces with an empty casing in it. I had to devise a recovery system
based on the existing construction; it works, but I’m not very happy with it.
FLYING:
Flying a basic (i.e. no booster recovery system needed) gap-staged model
is a delight. All you have to do is install the motors and igniter, insert liner
paper (if you’re using it), and go! I recommend highly using some sort of
lubricant—my favorite is baby powder—on the stage coupler and/or inside of
the booster motor tube where it contacts the upper stage motor. This will help
prevent the stages from sticking together.
For maximum reliability, choose an upper stage motor with as large a nozzle
opening as possible to increase the likelihood of burning particles entering. It’s
a good idea to gently ream the inside of the nozzle with a small drill bit or
the business end of your launch controller safety key to remove the light
coating of clay that is sometimes present from the manufacturing process.
Gap staging has opened up several new avenues of rocketry for me, and I
encourage everyone to give it a try! As always, you can e-mail me with questions
or comments via the links on this site.
*Alway glide: n. a recovery technique by which a long, slender rocket
(generally with the nose ejected on a streamer or parachute) returns to earth in
a poor—but unmistakable—glide, supported in "flight" by the body
tube cross-section and its rather undersized fins. In recent years this recovery
has been accepted as a qualified glide for competition, under the
"self-penalizing" rule. It was named after the technique’s most avid
and prominent practitioner, Peter BMB Alway.