Peak of Flight #214: Step-by-Step RockSim procedure to calculate the maximum lift-off weight of a rocket motor
Apogee Components' Peak of Flight newsletter, issue 214 (2008-07-29).
Find a Motor’s Maximum LiftOff Weight
Step-by-Step RockSim Instructions Make the Determination Easy
Reader Comments:
Examples of Decal Files in RockSim
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ISSUE 214
J U LY 2 9 , 2 0 0 8
Find the Maximum Recommended Lift-Off Weight
By Tim Van Milligan
A couple of weeks ago, we received the new Quest
D5-P rocket engine. As I was putting it up on the Apogee
website so that you could purchase it, I came to the column called “maximum lift-off weight.” I looked through all
the literature on the new engine, including the official NAR
certification paperwork. I couldn’t find it listed anywhere.
Finding the Maximum Recommended Lift-Off Weight
(MRLOW) seems to be a mystery to people, maybe because there isn’t a step-by-step procedure written down. So
that is the purpose of this article.
The procedure that I prefer is based on the apogee
point in flight, which was described in Peak-of-Flight Newsletter #35 (www.ApogeeRockets.com/education/downloads/
Newsletter35.pdf). I’ll call it the Barber MRLOW Procedure,
after it’s creator, Mr.Trip Barber.
Most maximum lift-off procedures are based on zerowind conditions. This isn’t true in real life, as there is almost
always wind when you are launching rockets. Without wind,
you’re really still just guessing. And because you’re guessing, you have to figure in a factor-of-safety to compensate
for the uncertainty you’ve introduced into the procedure.
This factor-of-safety is going to lower the maximum lift-off
weight that you calculate. Wouldn’t it be better to have a
procedure to give you the most weight?
What happens at launch when the rocket gets
heavy?
That is an important question, because the answer is
the reason why we have to watch the weight of the rocket.
What happens is that the rocket leaves the pad slower. The
heavier the rocket, the slower flies as it leaves the launch
rod. Slow lift-offs are bad. But why?
As we found out in the discussion about dynamic stability (see Newsletters #192 - #198 at www.apogeerockets.
com/education/newsletter_archive.asp) is that slow rockets
are more susceptible to weathercocking as they leave the
launch rod. In effect, they turn horizontal instead of traveling in an upward direction. From a safety standpoint, a
horizontally-travelling rocket is more dangerous and should
be avoided.
The BarberMRLOW Procedure gives us the criteria for
how much weathercocking is too much. Based on this, we
can load up the rocket with weight and find the point where
it exceeds the “too much weathercocking” criteria. At that
point, we can accurately predict the maximum lift-off weight
the rocket can handle. In simple terms, the Barber MRLOW
Procedure looks at the trajectory of the rocket as it leaves
the launch pad.
Before getting into the procedure, I hope you can grasp
that the maximum lift-off weight for the motor is going to
depend on the size and configuration of the rocket, and the
weather conditions on the day of the launch. The reason is
that these variables also affect the trajectory of the rocket.
Anything that affects the trajectory of the rocket will affect
the maximum lift-off weight of the motor.
This is important, because there is not a single “maximum recommended lift-off weight” that can be used for all
sizes of rockets. This may be contrary to what you’ve been
used to for all your rocketry career. That MRLOW number
you see published on the manufacture’s web site is only
good for a very narrow set of conditions. You really have to
generate the number yourself based on the design of the
rocket you’ve created.
Fortunately, with RockSim, it is relatively easy to find
the maximum liftoff weight for the motor in your particular
design. I’ll walk you through the process using the example
of the new Quest D5-P rocket engine. Here is the step-bystep procedure.
Step 1. Locate or create the rocket engine data file,
and get it into RockSim.
Before you start creating the engine file, you should
check to see if it is already available. The place to look is
www.thrustcurve.org.
Fortunately, this file does already exist, and you can
download it directly to your computer. If it did not exist, you
would have to create it from scratch. You will find a video
tutorial on how to do this at: www.apogeerockets.com/
RockSim_tutorials.asp. Look for videos #13 and #14, as
they will walk you through the most common issues you’ll
Continued on page 3
About this Newsletter
Newsletter Staff
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Page 2
ISSUE 214
Writer: Tim Van Milligan
Layout / Cover Artist: Tim Van Milligan
Proofreader: Michelle Mason
J U LY 2 9 , 2 0 0 8
Continued from page 2
Find an Engine’s MRLOW
encounter as you create motor files.
Before you go on, you’ll have to store the file in the
correct place on your hard drive so that RockSim can find
it easily. The place that all the other motor files are stored
is the “data” folder of RockSim. The default path to it is:
c:/program files/Rocksim 8/data/
If you have problems doing this, see the aforementioned videos. They will walk you through the steps to get
the motor file into RockSim.
Step 2: Create the rocket design file for RockSim.
This is also pretty straight forward. The only hitch is
that the Quest D5-P motor is an odd diameter at 20 mm. So
if you design around that size engine, you’ll do OK. I’ve created a sample design file for you to try as you read through
this article. You’ll find it at: http://www.ApogeeRockets.
com/Education/downloads/Quest_D5_design.zip. This file
also contains the engine data file for your convenience.
Step 3: Set up the initial launch conditions. For this,
you’ll want to launch straight up, and have a constant
10mph wind speed. To make a constant wind, set the “Wind
conditions” to “Custom speed range”. You’ll then enter 10
mph for both the “Low wind speed” and “High wind speed”.
Figure 1: To set up a steady wind, you have to use the
Custom Speed Range option.
Also, since the Quest D5 does not contain an ejection
charge, we’ll use a Flight Event to deploy the parachute.
Continued on page 4
Here are a couple of other simple ways to
strengthen the centering rings without adding a lot of
mass. Remember, it is really the glue joint holding
the rings in that we need to strengthen. If you are using through the wall fins, you won’t need these extra
strengthening methods. It would be redundant.
1. Put a short (only 1/4 inch) length of tube coupler inside the tube, just in front of the front centering ring on the engine mount. This gives the ring
something to butt up against and prevents it from
sliding forward in case the glue joint fails.
2. Similarly, put a ring over the engine mount tube
- again positioned just in front of the forward ring so
that it can’t slide forward if the glue joint fails.
Inner stiffening ring (use an adapter ring)
Outer stiffening ring (use a coupler)
Preventing glue-joint failure, can be done with short
stifffening rings on the inner and outer edges of the
disk-type centering ring.
To prevent the rocket from sliding forward in the
rocket,the typical method is to glue a thrust ring (also
called an engine block) into the engine tube. It is positioned directly in front of the motor, so the engine
can’t slide forward into the rocket. See Fig. 2- , and
Fig.6-29 on page 53.
But note that a thrust ring glued in the rocket
will prevent longer motors from fitting completely
in the engine mount tube. For example, an Aerotech
G35 Econojet is 98mm (3-7/8 inches), while the
“Thrust Ring” glued in front of
the motor to prevent it from
sliding forward.
Nozzle end
A
B
C
Fig. 6- Thrust rings on the aft end of the motor allow
different lengths of motors to used in the same rocket.
(A) Reloadable motor nozzle end piece. (B) Masking tape
wrapped around a case to build up a thrust ring. (C)
Thrust ring molded into a single use motor.
G80 is 124mm (4-7/8 inches long). Both are 29mm
diameter, so they would both fit into the same engine
mount tube. But since the G80 is significantly longer,
it would stick too far out the back of the rocket.
There are two possible fixes for this. First, you
could position the engine block deep enough in the
rocket to accomadate the longest rocket engine the
rocket will use. For engines that are shorter, you
would put a spacer tube in front of the motor that fills
the gap between the engine block and the front of the
motor.
The drawback of this approach is that sometimes
you don’t know the length of the spacer you would
Fig. 6- A thrust ring on the back of the engine butts
against the aft edge of the motor mount tube. This
prevents the engine from sliding foward while it fires.
61
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ISSUE 214
J U LY 2 9 , 2 0 0 8
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Model Rocket Design And Construction
Page 3
Continued from page 3
Find an Engine’s MRLOW
Set the parachute to deploy at apogee. Finally, we don’t
really care about the descent phase of the rocket, so under
the Simulation Controls tab, choose “End simulation when
the first recovery device is deployed.”
Step 4A: Run the launch simulation
For the first launch, go ahead and display the 2D flight
profile. This is where we have to determine if the weathercocking is acceptable. If it is too much, then the rocket is
too heavy and we will have to reduce its weight.
According to the Barber Procedure, rockets that weathercock to an apogee elevation angle below 70 degrees (as
measured from the horizontal) in a 10 mph wind, or rockets
that “prang” prior to ejection in a 20 mph wind have a maximum recommended lift-off weight that is too high.
We can make a visual of this as shown in the Figure
2. What I did was overlay in red the criteria of acceptable
weathercocking on top of the 2D flight profile that is generated by RockSim.
Ideally, it would be cool if RockSim gave us this visual
image. That is one thing that I’d like to see in the next version of RockSim, since it would tell us quickly if the trajectory is within a criteria defined as “safe.” Unfortunately,
we’re not there yet.
But you can still make the determination of “acceptable” from the information on the screen. Notice that we
have both the altitude and range at deployment. With a little
trigonometry, we can easily calculate the angle from vertical
to determine how far the rocket weathercocked.
The equation to do this is:
Elevation Angle = arctan (range ÷ altitude) – Measured
from vertical to the apogee point.
In this example from Figure 2, the range is -467.094
feet and the altitude is 1296.61 feet. Doing the trig, we find
that the elevation angle is 19.8 degrees (measured from
the vertical).
This is about as far as we would allow in weight for acceptable weathercocking.
Please note that you actually have to use the absolute
value of the range, so that you aren’t working with a negative number. In other words, drop the negative sign in front
Continued on page 5
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Figure 2: Definition of acceptable weathercocking.
Essentially, the criteria describes an inverted cone with
a half-angle of 20 degrees, where the tip of the cone is at
the launch location. If the rocket’s apogee point is within
this cone, then the weathercocking is acceptable. If it lies
outside the cone, then the rocket is too heavy for the motor.
• Dream It!
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• Fly It!
For this particular case, the rocket is still within the
cone, so the weathercocking is OK.
Page 4
ISSUE 214
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J U LY 2 9 , 2 0 0 8
Continued from page 4
Find an Engine’s MRLOW
of the range when you do these calculations.
Step 4B: We can actually simplify the procedure of
Step 4a. We don’t have to go to the flight profile screen
every time we run a simulation. We can get it from the detailed flight report. Just double-click on the simulation number, and the detailed flight report will come up. Just scroll
down to the section called “Recovery system data” to find
the altitude and range at deployment as shown in Figure 3.
More good news: you don’t actually have to take the
arc-tangent of the number when you divide the range by
the altitude. We can find the arc-tangent of 20 degrees
which is 0.36397 and compare to that.
In simplifies to this: If the range divided by the altitude is less than 0.36397, the weathercocking is acceptable.
Anyone can easily make this comparison with a simple
calculator!
If the weathercocking is acceptable, you can go back
to your RockSim design and add more weight to the rocket
and then rerun the simulation again. I suggest putting a
mass object located at the rocket’s current center of gravity
location. You will keep adding mass until the rocket weathercocks outside of the cone, which will give you a number
greater than 0.36397.
It should be noted that this value is only for a zero second delay. In this case, the Quest D5 is a plugged motor,
so this is the value that I would use. I simply remove the
engine from the design, and read off the rocket’s current
mass; which is 56.205 grams. This is the value I list on the
Apogee web site as the MRLOW for the D5-P motor which
is at: www.apogeerockets.com/quest_motors.asp
If the motor has a delay, the number is going to be a
bit less. How much less? Just go on to the next step to find
out.
Figure 3: Find the deployment position from the simulation details report.
Step 5: There is a second criteria in the Barber
MRLOW Procedure that we can look at:
Continued on page 6
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ISSUE 214
J U LY 2 9 , 2 0 0 8
Page 5
Continued from page 5
Find an Engine’s MRLOW
Now run your simulation and display the 2D flight pro-
“Rockets which go ‘over the top’ and fall to below
about 50% of apogee or 10 meters (32.808 feet) of altitude
– which ever is lower – before ejecting are too heavy for the
motor/delay combination used.”
What does this mean?
You’re looking at the distance between the apogee
point and the deployment point and seeing if it is less than
32.808 feet. I use the 32.808 feet criteria, because it is the
one you would use for any rocket that flies higher than 65.6
feet – which is about ALL real rockets.
file.
What you see in the 2D flight profile (Figure 4) is that
the rocket did indeed travel ‘over the top’ and was headed
in a downward direction when the parachute is deployed.
Now bring up the simulation details screen by doubleclicking on the simulation number on the main screen of
RockSim.
Let’s do an example. While the Quest D5 really doesn’t
have any delay combinations, lets say that a 7 second
delay was available. What would be the maximum recommended lift-off weight of the rocket/motor combination?
Using the same rocket as before, we’ll make a few
adjustments in the simulation prep screen.
First, change the delay value for the motor to seven
seconds. Just TYPE the number in the delay field, and hit
the TAB key (Enter key on the MAC). This forces RockSim
to accept the new delay value.
Next, go to the flight events and set the parachute to
deploy at maximum engine ejection. Finally, confirm that
the simulation end point (under the Simulation controls tab)
is still set to “End the simulation when the first recovery
device is deployed.”
Figure 5: Compare peak to the deployment altitude.
Here, we want to compare the maximum altitude and
the altitude at deployment. If the difference is greater than
32.8 feet, then the rocket is too heavy for the delay and
we’ll have to remove some weight.
The value for maximum altitude is 1297.52 feet, and
the deployment altitude is 1209.90 feet. The difference is
87.62 feet, which is greater that the allowable 32.8 feet.
Based on this, we will have to back off the rocket’s
weight and do the simulation again.
When you lower the rocket’s weight, it is going to fly
higher, and the trajectory is going to be straighter. And the
altitude at deployment is going to be higher. Because of all
this, you will find yourself doing a number of simulations to
dial in to the result that gives the deployment altitude that is
within 32.8 feet of the peak altitude.
The purpose of the 10 meter difference between the
peak and the deployment altitude is to reduce the deployment speed to a manageable velocity. You don’t want your
parachute to shred from opening at a high rate of speed
Figure 4: Rocket on a downward trajectory.
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Continued on page 7
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Continued from page 6
Find an Engine’s MRLOW
technical_publications.asp), you will see that there are a
host factors that go into picking what motors will work with
your rocket design. The motor you pick as starting point in
the process will speed up the selection process, but if you
pick wrong, the process will still loop back and help you get
the others that will work.
if you were setting this scenario up in the SMARTSim
software (www.ApogeeRockets.com/smartsim.asp), you’d
probably dial in on the deployment speed as the optimum
value. That would have the same effect. For starters, I’d try
to keep your deployment speed to around 40 mph, to limit
the stresses that will try to rip the parachute to shreds.
The beauty of RockSim is that it opens up more choices for you than if you only looked at factors such as the
Maximum Recommended Lift-Off Weight. It is a guideline
that I wish people wouldn’t put so much emphasis on.
Conclusion
There could be some debate over the criteria in the
Barber Procedure for finding the MRLOW of a motor. I personally like the aspect of a definition of acceptable weathercocking. The part that may be debatable is how far a rocket
can go over the top before the parachute is deployed. But
does it really matter in the grand scheme of things?
About The Author:
Tim Van Milligan (a.k.a. “Mr. Rocket”) is a real rocket
scientist who likes helping out other rocketeers. Before he
started writing articles and books about rocketry, he worked
on the Delta II rocket that launched satellites into orbit. He
has a B.S. in Aeronautical Engineering from Embry-Riddle
Aeronautical University in Daytona Beach, Florida, and
has worked toward a M.S. in Space Technology from the
Florida Institute of Technology in Melbourne, Florida. Currently, he is the owner of Apogee Components (http://www.
apogeerockets.com) and the curator of the rocketry education web site: http://www.apogeerockets.com/education/.
He is also the author of the books: “Model Rocket Design
and Construction,” “69 Simple Science Fair Projects with
Model Rockets: Aeronautics” and publisher of a FREE ezine newsletter about model rockets. You can subscribe to
the e-zine at the Apogee Components web site or by sending an e-mail to: [email protected] with “SUBSCRIBE” as the subject line of the message.
I say that, because it is very rare that you’ll ever have
to find the MRLOW of a motor if you use Rocksim. Besides,
do you really want to fly at such a high weight that the
rocket is on the verge of being under powered? Really the
only reason that I can think of is to get the slowest lift-off
speed to make it easier to take pictures of your rocket as
it takes off. Other than that, you’re giving up a lot of performance and you’re reducing your safety margins.
The only practical reason to have a MRLOW is to give
you a quick evaluation as to whether or not a motor can
be used as a starting point for a specific rocket project. But
that really doesn’t eliminate the motor entirely. If you read
through Technical Publication #28: Selecting Rocket Motors: A Step-by-Step Procedure (www.ApogeeRockets.com/
RS-PRO is a 6-degree-of-freedom rocket simulator to find the behavior
of high-performance rockets. It picks up where RockSim leaves off:
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©2007 Paul L. Fossey, PKF Systems
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ISSUE 214
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Page 7
Reader Responses
Applying Decals in RockSim v8 - More Example files
By Tim Van Milligan
“This is in response to an article in Newsletter 211
(www.ApogeeRockets.com/education/downloads/Newsletter211.pdf) about putting decals on a rocket using Rocksim.
In the beginning I had some trouble fitting the texture maps,
and the instructions in the help file were terse, to say the
least. After a while the light went on, I thought of making the
maps 1:1, actual size. This way worked almost perfectly.
Then I tried to place textures across part boundaries. After
measuring I resized the maps to individual parts.
One of the problems I encountered was the bleed
through on the fins. Solved that by making the fins two
parts and separating them by a distance more than 0.000,
again if you look at the V2 files you will see the “58” white
on one side and black on the other. The business of the
internal shoulder took me a while to work out. Just as you
show in your article, turn off internal parts, and the maps
work fine. If you look at the textures included you can see
how I developed the various maps to the rocket.
I was also experimenting with the Redstone missile
I modeled, including textures on it. Making long parts out
of paper, strong enough to stand up to a launch. But that’s
You get:
(4) AT 41/18
(2) AT 56/18
(2) AT 66/18
(1) AC-56
(1) AC-66
Price: $18.00
You Save: $3.34
You get:
(4) AT 13/18
(4) AT 18/18
(4) AT 24/18
(4) AT 29/13
Price: $25.00
From Estes, you would
spend over $43.60!
Figure 1: Top to bottom: V2 in camoflag pattern, Jupiter
C, and Mercury Redstone rocket. RockSim decal files
for these rockets are available from the Apogee web
site.
another story. The Redstone was the first tactical nuclear
weapon fielded by the Army. Considering the rockets that
were based on the design, Jupiter-C and Mercury-Redstone, it was a negelected (unglamorous) design, put
together by Werner Von Braun and his Space Rangers, as
they were called back then.” -- M. Gerstman
You can download these three rockets from the Apogee
web site. All the decal files are there. The Mercury Redstone rocket, which looks the most complicated, is actually
the easiest one to apply decals to.
V2 in Camo colors: www.ApogeeRockets.com/education/downloads/A4_camo.zip
Jupiter C Rocket: www.ApogeeRockets.com/education/
downloads/Estes_Jupiter_C-2.zip
Mercury Redstone Rocket: www.ApogeeRockets.com/
education/downloads/Estes_MR-2.rkt.zip
http://www.ApogeeRockets.com/body_tubes.asp
Page 8
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