# Model rocket motor classification

Motors for model rockets[1] and high-powered rockets[2] (together, consumer rockets) are classified by total impulse into a set of letter-designated ranges, from ⅛A up to O. The total impulse is the integral of the thrust over burn time.

${\displaystyle P_{T}=\int \limits _{0}^{t}F_{thrust}(t^{\prime })dt^{\prime }=F_{ave}t.}$

Where ${\displaystyle t}$ is the burn time in seconds, ${\displaystyle F_{thrust}}$ is the instantaneous thrust in newtons, ${\displaystyle F_{ave}}$ is average thrust in newtons, and ${\displaystyle P_{T}}$ is the total impulse in newton seconds. Class A is from 1.26 newton-seconds (conversion factor 4.448 N per lb. force) to 2.5 N·s, and each class is then double the total impulse of the preceding class, with Class B being 2.51 to 5.00 N·s. The letter (M) would represent the total impulse of between 5,120.01 and 10,240.00 N·s of impulse. Motors E and below are considered low power rocket motors. Motors between F and G are considered mid-power, while motors H and above being high-powered rocket motors. Motors which would be classified beyond O are in the realm of amateur rocketry (in this context, the term amateur refers to the rocketeer's independence from an established commercial or government organization). Professional organizations use the nomenclature of average thrust and burning time.

## Rocket motor codes

The designation for a specific motor looks like C6-3. In this example, the letter (C) represents the total impulse range of the motor, the number (6) before the dash represents the average thrust in newtons, and the number (3) after the dash represents the delay in seconds from propelling charge burnout to the firing of the ejection charge (a gas generator composition, usually black powder, designed to deploy the recovery system). A C6-3 motor would have between 5.01 and 10 N·s of impulse, produce 6 N average thrust, and fire an ejection charge 3 seconds after burnout.

An attempt was made by motor manufacturers in 1982 to further clarify the motor code by writing the total impulse in newton-seconds before the code. This allowed the burn duration to be computed from the provided numbers. Additionally, the motor code was followed by a letter designation denoting the type of propellant.[3] The propellant designations are manufacturer specific. This standard is still not fully adopted, with some manufacturers adopting parts or all of the additional nomenclature.

## Motor impulse by class

Class
(Base 26)
Total Impulse
(N·s)
Total Impulse
(lbf·s)
Aerospace Vehicle
or Rocket(s)
US Requirements
Micro 0–0.3125 0–0.07
1/4A 0.3126–0.625 0.071–0.14
1/2A 0.626–1.25 0.141–0.28 Space Speedster
A 1.26–2.50 0.281–0.56 Boost Glider
B 2.51–5.00 0.561–1.12
C 5.01–10.0 1.121–2.25 The Arachnid
D 10.01–20.0 2.251–4.5 Ice Storm Fighter Jet
E 20.01–40.0 4.51–8.99 Most Water Bottle Rockets
F 40.01–80.0 8.991–18.0
G 80.01–160 18.01–36.0 Largest model rocket motor according to TRA and NAR.
H 160.01–320 36.01–71.9 Level 1 Certification required for purchase, available from Tripoli or NAR.
Under 125g propellant is Federal Aviation Administration exempt.
I 320.01–640 71.9–144 THRUST TU-1 rocket[4]
J 640.01–1,280 144.01–288 Level 2 Certification required for purchase, available from Tripoli or NAR.
K 1,280.01–2,560 288.01–576
L 2,560.01–5,120 576.01–1,151
M 5,120.01–10,240 1,151.01–2,302 Level 3 Certification required for purchase, available from Tripoli or NAR.
N 10,240.01–20,480 2,302.01–4,604
O 20,480.01–40,960 4,604.01–9,208
P 40,960–81,920 9,210–18,400 Horizon 1[5]
GTXR's EPS11[6]
FAA/AST Class 3 waiver required.[7]
Q 81,920–163,840 18,400–36,800 GTXR's Material Girl[8][9]
R 163,840–327,680 36,800–73,700 USCRPL's Traveler IV[10]
S 327,680–655,360 73,700–147,000 WAC Corporal
CSXT GoFast[11]
DARE's Stratos III[12]
Largest motor used by amateurs.[13]
The following motors classify professional propulsion systems using amateur motor codes, which are not used in industry.
T 655 k–1,311 k 147,000–295,000 200,000 lbf-s is the limit for FAA definition of an "amateur" rocket [14]
U 1,311 k–2,621 k 295,000–589,000 Apollo launch escape rocket
V 2,621 k–5,243 k 589,000–1,180,000 Bloodhound SSC hybrid rocket[15]
W 5,243 k–10,486 k 1,180,000–2,360,000 SS-520[16] Smallest orbital rocket[17]
X 10,486 k–20,972 k 2,360,000–4,710,000 Lambda 4S[16]
Y 20,972 k–41,943 k 4,710,000–9,430,000 Vanguard
GEM-40 SRB
Electron[16]
Z 41,943 k–83,886 k 9,430,000–18,900,000 Black Arrow
Mercury-Redstone[16]
Pegasus-XL[16]
AA 83.89 M–167.8 M 18,900,000–37,700,000 Falcon 1[16]
Minotaur I[16]
VLS-1[16]
AB 167.8 M–335.5 M 37,700,000–75,400,000 M-V[16]
Minotaur-C[16]
Strela[16]
AC 335.5 M–671.1 M 75,400,000–151,000,000 Ariane 3[16]
Titan II
Dnepr[16]
AD 671.1 M–1,342 M 151,000,000–302,000,000 Vostok
Delta II
Falcon 9 v1.0
AE 1,342 M–2,684 M 302,000,000–603,000,000 Falcon 9 v1.1
Falcon 9 Full Thrust
Delta IV Heavy
AF 2,684 M–5,369 M 603,000,000–1,210,000,000 Atlas V Heavy
Falcon Heavy
New Glenn[16]
AG 5.369 G–10.74 G 1.21*109–2.41*109 Space Shuttle
Saturn V
Space Launch System
AH 10.74 G–21.47 G 2.41*109–4.82*109 Ares V
Long March 9
Starship
AI 21.47 G–42.95 G 4.82*109–9.64*109 Starship[broken anchor]
AJ 42.95 G–85.9 G 9.64*109–19.3*109 Sea Dragon
UR-700M

## Governmental regulation

In many countries, the sale, possession, and use of model rocket motors is subject to governmental rules and regulations. High-power rockets in the United States are only federally regulated in their flight guidelines by the FAA. These regulations are codified in FAA FAR Part 101. Rockets under 125g propellant and 1500g liftoff mass are exempt from most requirements. Beyond that a free "Waiver" is required from a FAA field office.

However, some of the consumer motor manufacturers and two U.S. national rocketry organizations have established a self-regulating industry and codified it in National Fire Protection Association (NFPA) "model" code documents, which are adopted only in specific circumstances and jurisdictions, largely in conjunction with fire and building codes. This self-regulation of industry suggests a user to become certified for use before a manufacturer will sell him a motor. In the United States, the two recognized organizations that provide high-power certifications are Tripoli Rocketry Association and the National Association of Rocketry. Both these organizations have three levels of certification which involves building progressively more complex and higher powered rockets and taking a test of safety rules and regulations. With the national member association bodies using published safety codes. In Canada, the Canadian Association of Rocketry has a four-step certification process, but all three organizations accept the other's certifications if a flyer shows up at a high-power launch and wishes to fly under their sanction. Level 1 certification from NAR or TRA qualifies one to purchase and use an H or I motor, Level 2 certification J, K, and L motors, and Level 3 certification M, N, and O motors. Canada adds another step in between, and has a Level 4 which is the same as US Level 3.

In the late 1990s, the U.S. Bureau of Alcohol, Tobacco, Firearms and Explosives began requiring[18] that individuals obtain a Low Explosives Users Permit (LEUP) to possess and use high-powered motors. On February 11, 2000, Tripoli Rocketry Association and the National Association of Rocketry filed suit in the United States District Court for the District of Columbia claiming that the BATF applied "onerous and prohibitive civil regulations" against sport rocketry hobbyists due to the Bureau's improper designation of ammonium perchlorate composite propellant (APCP) as an explosive. APCP is used in most high-power rocket motors. The commentary by BATFE staff in response to objections to adding new enforcement against hobby rocket motors is quite instructive.[19] In 2009, the court ruled in favor of the hobby organizations and ordered the BATF to remove APCP and other slow burning materials from its list of regulated explosives.[20] That judgement established 1 meter per second burning rate ("ATFE’s own burn rate threshold for deflagration is 1000 millimeters (or one meter) per second." Tripoli Rocketry Ass’n, 437 F.3d at 81–82) as the threshold for a material on the BATFE list of explosive materials.[21]

## Vendors

The largest vendor of model rocket motors in the world is Estes Industries. The largest vendors of high-power rocket motors in the world are Cesaroni Technology Inc. and RCS Rocket Motor Components, Inc.

The very first model rocket motor certified was by Model Missiles Inc. (Orville Carslile). Circa 1958. The very first high-power rocket motor certified was by U.S. Rockets (Jerry Irvine). Circa 1985. The very first APCP propellant model rocket motor made was by Rocket Development Corporation (Irv Wait). Circa 1970.

The largest vendor of professional solid rockets in the world is Orbital ATK.

## References

1. ^
2. ^
3. ^ USR website FS photograph: http://v-serv.com/usr/motors/images/CinerocFS5.jpg
4. ^ "TU-1 Development". Retrieved 2024-03-01.
5. ^ "Goddard 2021-2022 - Flight". sites.google.com. Retrieved 2022-09-21.
6. ^ "Our Motors". GTXR. Retrieved 2023-12-04.
7. ^ "ECFR". Retrieved 2020-09-09.
8. ^ "The Ramblin' Rocket Club Takes Rocketry to New Heights | Daniel Guggenheim School of Aerospace Engineering". ae.gatech.edu. Retrieved 2023-09-22.
9. ^ "Our Rockets". GTXR. Retrieved 2023-09-22.
10. ^ "Traveler IV". USCRPL. Retrieved 2019-10-16.
11. ^ "GoFast". www.astronautix.com. Archived from the original on December 27, 2016. Retrieved 2017-11-24.
12. ^ http://dare.tudelft.nl/stratos-iii-technical-overview/. {{cite web}}: Missing or empty |title= (help)
13. ^
14. ^ "ECFR". Retrieved 2020-09-09.
15. ^ "Falcon Project Ltd. UK Bloodhound SSC test firing". Telegraph. 3 October 2012. Archived from the original on 2021-12-13. Retrieved 3 July 2015.
16. Space Launch Vehicles - Total vacuum impulse
17. ^ Graham, William (3 February 2018). "Japanese sounding rocket claims record-breaking orbital launch". NASA Spaceflight. Retrieved 3 February 2018.
18. ^ "Commerce in Explosives--Amended Definition of Propellant Actuated Device". Federal Register. 13 February 2009. Retrieved 4 July 2015.
19. ^ "Commerce in Explosives-Amended Definition of "Propellant Actuated Device" (2004R-3P)". Federal Register. 13 February 2009. Retrieved 4 July 2015.
20. ^ "APCP not an explosive, rules Judge Reggie B. Walton" (PDF). Federal Judge. 16 March 2009. Retrieved 3 July 2015.
21. ^ "2014 List of Explosive Materials (Official)". Federal Register. 7 October 2014. Retrieved 4 July 2015.