Topic outline

  • Rocketry - From Goddard to the Future

    Summer 2025

    Collaborators: Jack Colvin (University of Chicago Intern)

    Using Resources provided by Stevan Akerly (NSS Space Ambassadors Lead)

    Loretta Hall (NSS Space Ambassador)

    Kevin Simmons (NSS Space Ambassador & BLUECUBEAEROSPACE CEO)

    Frances Dellutri (NSS Director of Education)

    Background:

    This lesson delves into the subject of rockets from an entirely different perspective than Rocket Math (link): not that of a mathematician, but rather that of an engineer. Specifically, this lesson explores the life and work of Robert Goddard – a brilliant engineer responsible for the development of the first successful rockets that worked based on liquid rather than solid fuel – as a case study of just how many engineering considerations go into designing something as complex as a rocket. In this lesson, we will explore Goddard’s work in detail, from his early solid-fuel rockets to his development of liquid propulsion, and finally to his shocking prescient visions for what rockets could look like in the future. In doing so, we will examine all the choices that go into creating a rocket, such as the materials and fuel used, tradeoffs between power and efficiency in various types of fuel (specifically focusing on solid vs liquid fuel), and how modern rockets have adapted Goddard’s system to be even more efficient. 

    Lesson Goals: 

    • Who is Robert Goddard and why is he important? 

    • What are the differences and tradeoffs between liquid and solid fuel? 

    • What engineering decisions go into designing rockets? How do different parts of rockets (motors, combustion chambers, exhaust nozzle, etc.) work? 

    • What might rockets look like in the future? How did Robert Goddard contribute to these ideas? 

    Education Standards


    Related Lessons:

    Rocket Math: https://spacedge.nss.org/course/view.php?id=330

    Rocketry:  https://spacedge.nss.org/course/view.php?id=51

    Recent Space Developments: https://spacedge.nss.org/course/view.php?id=47#section-2






  • Meeting Goddard: Goddards "ah-ha" Moment


    "I Climbed a tall cherry tree at the back of the barn ... and as I looked toward the fields at the east, I imagined how wonderful it would be to make some device which had even the possibility of ascending to Mars, and how it would look on a small scale, if sent up from the meadow at my feet. I have several photographs of the tree, taken since, with the little ladder I made to climb it, leaning against it" 

    -Robert H Goddard

    This quote is an example of an "ah-ha" moment, a term used to desrcibe when someone has a sudden realization or moment of inspiration. These moments are often triggered by external factors, including the environment and the people around us, or a new piece of information that changes the way we are thinking about a problem. In Goddard's case, something about looking at the night sky with a serene, natural background around him made him realize that he wanted to devote his life to space travel.

    These moments can take many shapes and sizes. They might be monumental realizations, like Goddard’s, or smaller, more personal insights, such as finally understanding a tricky math problem. The only common thread is that sudden, illuminating moment when your thoughts click into place and everything about a topic suddenly makes sense.

  • Part One: Goddards Early Work and Development of Liquid Propulsion

    Robert Goddard was born on October 5th, 1982, In Worcester, Massachusetts. Fascinated with the goal of humans someday being able to touch the skies, Goddard developed his first rocket, the bazooka, in 1917, which was a solid fuel based hand-held rocket that fired an explosive projectile. His original model was modified to be able to handle larger, explosive projectiles, and was used extensively throughout WWII. Although this design was modified from Goddard’s original design, the engineering principles behind the version used in WWII were largely left unchanged. 


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    National Museum of American History, M1 Rocket Launcher, 1942, https://americanhistory.si.edu/collections/object/nmah_415906 


    Goddard at first continued developing and improving his solid-fuel based design. Many of his early designs, shown below, were hardly even recognizable as rockets, instead resembling sparse collections of metal piping powered by centralized engines. As his work continued, however, he was able to perfect his solid-fuel design, and began producing rockets that resembled modern rockets much more closely. The scale of his rockets was larger than one might expect just from looking at them: the rocket on the right was over double the height of the average human. The image on the left shows Goddard’s P-type rocket, a later liquid fuel design, compared to Goddard’s original rocket, with the progression towards modernity very evident.

    Goddard RocketGoddard Rocket
    Image 1: Penland, Jane, Model, Rocket, Liquid Fuel, 16 March 1926, Goddard, Smithsonian air
    and Space Museum, March 7, 2016, https://airandspace.si.edu/collection-media/NASM-NASM2016-00687-000001 
    Image 2: Evanston, Tim, Robert Goddard Exhibit, NASA  https://asd.gsfc.nasa.gov/blueshift/index.php/2015/11/25/following-goddards-tracks/


    As he worked on maximizing the efficiency of his solid-fuel based rockets, Goddard began to recognize many key disadvantages to solid -fuel based propulsion systems. Only about 2% of the solid fuel’s chemical energy was actually converted to thrust: the rest was lost as a combination of heat, noise, and light, which Goddard calculated by dividing the kinetic energy provided by the fuel as thrust divided by the total chemical energy stored within the fuel. A more in-depth description of how this calculation is carried out can be found at (Link to math lesson). 


    Furthermore, in solid fuel engines, the fuel and the oxidizer must be kept in the same chamber, as solid fuel cannot be physically moved between chambers. Therefore, solid fuel rockets are “not throttle-able”. This means that once combustion begins, all the fuel will be used up in one go and at a constant rate, not allowing for any fuel to be conserved for later. The process is essentially a slightly more controlled version of the type of explosion seen in a cannon or bomb, thus only allowing for a single initial burst of thrust.

     
    A diagram of Goddard's Solid Fuel Rocket
    https://www1.grc.nasa.gov/wp-content/uploads/srockth-600x451.gif 
    Illustration by NASA


    Therefore, Goddard began working on an alternative: an engine that could run on liquid fuels such as liquid hydrogen, gasoline, or kerosene. These fuels not only weigh less than traditional solid propellants (allowing for greater acceleration for the same amount of thrust by F = ma), but are also generally more efficient, producing more energy per unit mass. Furthermore, they are generally throttle-able, as they can be pumped into the combustion chamber from a separate chamber, allowing for combustion to happen at varying rates. In 1926, Goddard successfully flew the first ever liquid fuel rocket. In 1939 and 1941, he flew his P-type rockets, which were larger and more powerful versions of his original liquid-fuel rockets. They were named for the revolutionary pump system they used, being the first ever rockets to use turbopumps, which have become the predominant mechanism for transporting fuel and oxidizer in modern engines. Goddard's rockets generally used gasoline as fuel and liquid oxygen as an oxidizing agent. His designs were studied and used to develop the German V-2 rockets used in World War II, which used the same liquid-fuel model with liquid oxygen as an oxidizing agent, but with an alcohol-water solution as fuel instead of Goddard’s gasoline. These early liquid-fuel rockets were able to reach 160000 pounds of thrust, and over 15% chemical efficiency, leaps and bounds above his solid fuel designs. 


    German V-2 Rocket
    Image from FreeImages.com 

  • Part Two: How did Goddard’s Liquid Propulsion work?

    Part Two: How did Goddard’s Liquid Propulsion work? 

    The engine that powered Goddard’s liquid rockets actually consisted of three separate chambers combined into one. The first two held the liquid fuel and the oxidizing agent (usually liquid oxygen), where they could be pumped in at any rate to a third chamber where combustion would take place. Finally, during combustion, the fuel would be burned into exhaust and pushed out the back of the chamber into the nozzle of the rocket, which would create the force of thrust that pushed the rocket forwards. 


    Liquid fuel engine diagram

    Illustration by Nasa https://www1.grc.nasa.gov/wp-content/uploads/lrockth-1.jpg 

    Understanding Question: Based on the above description and diagram, and this video explaining how liquid propulsion works, can you think of some engineering challenges that Goddard might have faced during the development of liquid propulsion?

    ______________________________________________________________________________________________________________________________________________________________________________________

    Developing this system was no easy task, and Goddard had to face many engineering challenges throughout this process. The most apparent challenge is simply how complicated the system is when compared to the much simpler solid propulsion engine. While it is nice that liquid fuel rockets are throttle-able, this also means that Goddard had to design a system to feed oxidizer and fuel at the correct rates to the combustion chamber. He did so at first using a pressure based system (which we will explore more in depth in the next paragraph), before introducing the turbo-pump to allow for extremely precise control of fuel flow rates. In order to achieve the necessary precision, the pumps had to be able to rotate at speeds up to 38,000 RPM, which propels the liquid fuel into the combustion chamber. See the following videos to understand more about the exact mechanisms of how these pumps work: 

      

    Below is a photo that showcases an actual turbopump taken from Goddard's Labaratory:

    Goddard Pump in Workshop


    Goddard, R. (n.d.). 1921-24 - Beginnings of Experimentations with Liquid Propellants. https://database.goddard.microsearch.net/Document?db=GODDARD-UNRESTRICTED&query=%28select%2B2%2B%28byhits%2B%28field%2BDOCUMENT%2B%28anyof%2Bpump%29%29%29%29  

    Furthermore, the combustion chamber had to be able to withstand immense amounts of heat (up to 3000 degrees), which Goddard achieved in two ways. First, he used ceramic coating on his aluminum piping and all chambers in order to increase the heat tolerance of the system. Secondly, he developed a cooling system in which a small portion of the fuel was diverted to the outer wall of the chamber, acting as a heat sink for if the chamber became too hot. This system meant that the fuel itself had to be kept at extremely cold (and often cryogenic) temperatures in order to be usable as a heat sink, yet another condition Goddard had to take into consideration. Traditional turbo pumps alone are unsuitable for cryogenic liquids due to severe lubrication challenges at extremely low temperatures. To overcome this, he engineered a novel pump system integrated with the engine’s cooling process. As the cryogenic fuel circulates around the combustion chamber for cooling, it rapidly vaporizes upon absorbing heat. This sudden phase change creates a pressure differential, which is then harnessed to drive the fuel into the combustion chamber. This system alone is able to effectively divert fuel into the combustion chamber, but in Goddard’s later designs, turbopumps were used to help further regulate this system and allow for greater throttle-ability. He received a patent in 1914 for this invention, pictured below. 

    Goddard Cooling System Patent

    Goddard, Robert (1914), Apparatus for Pumping Low Temperature Liquids, US 1860891,

    USPTO, https://patents.google.com/patent/US1860891A/en?oq=US+1860891 


    Finally, the nozzle also had to be engineered to perfection. Goddard forced the exhaust to flow through a very narrow opening, which increased the pressure and thus exit velocity of the gas as it flowed out of the rocket, thus increasing thrust (recall the formula F = ṁve). Furthermore, the cone shape of the nozzle also allowed the gas to exert the maximum possible reaction force on the rocket through the walls of the cone, further increasing the thrust. 

    All of these engineering considerations were not just specific to the rocket, but also to the environment in which the rocket would operate in. For example, engines that fire at sea level (such as booster rockets) have smaller nozzles to create the strongest exhaust stream in an atmospheric environment (15 PSI). When in space there is no atmospheric (Back) pressure so the nozzle needs to be bigger to get the remaining energy from the exhaust stream.

    Goddard Rocket PatentGoddard Rocket Patent


    Goddard, Robert (1914), Rocket Apparatus, US 1103503A, USPTO, https://patents.google.com/patent/US1103503A/en?oq=US+1103503A 



    • Opened: Wednesday, 16 July 2025, 12:00 AM

      Go to the website link: https://www.osc.org/demonstrate-laminar-flow-at-home/ at complete the lab (you will need water balloons and a space that you are ok with getting wet). This lab discusses how differently size openings in a water balloon allow water to escape at differing rates. After completing the lab, explore your findings. What size opening allowed the water to exit the fastest or travel the furthest (say piercing the balloon with a pin vs a knife)? Try to quantify your results in a table, noting the size of each opening and how far the water travelled. What do you notice? Finally, try to relate your findings to a rocket. What does this lab say about the ideal size opening that a rocket nozzle should have, if anything?

      There is no answer key for this assignment, as there is no right or wrong answer: we just want you to explore your findings!


    • Opened: Wednesday, 23 July 2025, 12:00 AM
    • Opened: Wednesday, 20 August 2025, 12:00 AM
  • Part 3: A more in depth look at the tradeoffs between solid and liquid fuel

    While we got pieces of the puzzle in the above two sections, a more in depth understanding of the tradeoffs between solid and liquid fuel is important to understanding modern rocketry. In a lot of ways, as mentioned above, liquid fuel is superior to solid fuel. It is more efficient, weighs less, and allows a rocket to store excess fuel not needed during takeoff to use later. It does, however, have significant drawbacks. First off, it is far more expensive than solid fuel, with the most efficient liquid fuel – liquid hydrogen – being extremely difficult to come by, and thus very expensive. Furthermore, due to its complex structure, it both requires more weight in machinery (even if the fuel itself weighs less), and it is more dangerous, with even miniscule design errors potentially leading to fatal pre-takeoff explosions. 


    Based on these tradeoffs, how do modern rocket engineers make a decision between these 2 types of fuel? The reality is that in most cases, they use both in order to take advantage of each’s specific benefits, namely solid fuel being cheaper and requiring less complicated machinery, while liquid fuel being more efficient and more easily controllable. Specifically, many rockets use solid fuel when a single burst of thrust is needed (such as during take off, for example), to avoid the cost and potential danger of using liquid fuel systems when they are not needed, whereas liquid fuel is used for later stages of the mission, when throttle-ability and control are more important. Modern improvements to solid fuel designs, such as the introduction of dopants and other additives, has made it possible to control the combustion process for solid fuels, making them somewhat more manageable. However, when precise thrust control and high levels of maneuverability are required, liquid fuel engines remain the preferred choice.

    Excerpts from Goddard's diary regarding the tradeoff between solid and liquid fuels:

    Goddard Diary Exerpt
    Goddard Diary Excerpt

    Goddard, R. (n.d.-b). 1938-1941 - Rockets with Turbopumps . Robert Goddard papers database provided by Microsearch Corporation www.microsearch.net. https://database.goddard.microsearch.net/Document?db=GODDARD-UNRESTRICTED&query=%28select%2B0%2B%28byhits%2B%28field%2BDOCUMENT%2B%28or%2B%28phrase%2Bliquid%2Bfuel%29%2B%28phrase%2Bsolid%2Bfuel%29%29%29%29%29 

  • Part 4: Modern Liquid Rocket Engines

    Modern liquid fuel rockets operate on a very similar design concept to Goddard's, with the main three parts of the engine still consisting of a fuel tank, an oxidizer tank, and a combustion chamber. However, modern systems often incorporate far more sophisticated machinery, and are built to much higher levels of precision to handle modern standards of efficiency. One specific adaptation has been the introduction of liquid hydrogen as the main source of fuel. Liquid hydrogen is much, much colder than the liquid oxygen and gasoline used in Goddard’s time, and thus modern engines need more advanced systems of lubrication, fuel storage (which has to be directly next to the engine to avoid evaporation), and temperature control between the extremely cold fuel and the incredibly hot combustion chamber.

    Another important consideration that has emerged is the physical size and weight of engine components. Since Goddard's era, a major limitation on rocket efficiency has been that much of a rocket's weight and bulk comes from the large number of individual parts within the engine itself and other machinery. As a result, many modern rocket engineers aim to reduce both the size and weight of these components, thus increasing the thrust to weight ratio and producing higher acceleration. Achieving this requires exceptionally high precision in both manufacturing and assembly, a level of detail that was not as critical during Goddard's time.                                     

    Finally, modern rockets also have to be engineered to meet modern environmental efficiency standards, and also be cost effective.  Liquid hydrogen, methane and kerosene are used instead of gasoline because they are more design efficient, more chemically efficient, and burn much cleaner than the other alternatives. 

    Liquid (Cryogenic) Hydrogen is most effective (High Specific Impulse) in the space environment, where efficiency is most important, but not so much in the initial launch stages when raw power is needed to get the mass moving. Therefore, solid fuels or other liquid fuel options are used more commonly in booster engines. 

    Illustration by Encyclopedia Britannica 

    https://www.britannica.com/technology/rocket-jet-propulsion-device-and-vehicle/Liquid-propellant-rocket-engines 


    Understanding Question: 

    Visit the link https://techsight.co/index.php/2021/06/24/raptor-rocket-engine-animated-schematic-infographic/

    And look at the diagram above, both depicting schematics for modern liquid fuel engines, and describe how they are similar and/or different to Goddard’s model. 

    ____________________________________________________________________________________________________________________________

    Now we will look at some specific examples of modern rocket engines: 


    RL10 Engine: 

    The RL10 engine was created in 1959, and uses liquid hydrogen as fuel, and has been widely used by satellite launching systems. Many versions of this engine have been produced since 1959, with the RL10B-2 engine current in development projected to be the most efficient of any modern rocket engine, with a specific impulse of over 400 seconds. Learn more about specific impulse in our Rocketry Math lesson.

    Gerondidakis, D. (2016). Commercial Crew Program (CCP) Astronauts visit Aerojet Rocketdyne. photograph, West Palm Beach. images-assets.nasa.gov/image/KSC-20160812-PH_DNG01_0078/KSC-20160812-PH_DNG01_0078~orig.JPG 


    RD-180 Engine: 

    The RD-180 engine, developed by NPO Energomash and modified by Pratt and Whitney, is a booster engine used to get rockets off the ground that uses liquid fuel (Kerosene). It is able to provide almost 1 million pounds of thrust (Goddard's rockets, remember, could provide around 160,000 lbs), while being much smaller and more manageable than earlier similar prototypes. 

    Raptor Engine: 

    The Raptor Engine is a modern, energy efficient liquid fuel engine developed by SpaceX. It uses methane as fuel, which burns cleaner than kerosene, is less prone to fatal explosions, and can also be produced on Mars, which is important for SpaceX’s goal of humankind walking on Mars. Finally, it is designed to be reusable for multiple flights, and thus could be sent back and forth from a planet like Mars. 

    What makes this engine so revolutionary is that it is made entirely through 3d printing processes. There are three generations of this engine, with Raptor 3 featuring nearly all of its piping and channels 3D-printed directly into the engine’s structure. This design makes the engine look remarkably simple from the outside, even though it remains highly complex internally. This sort of 3d printing technology has begun to be tested on even large scales, including building new parts for the International Space Station, and could revolutionize space-based manufacturing in the near future.


  • Part 5: Goddards Alternative Fuel Research

    Not only was Goddard a brilliant engineer, creating the first ever working liquid propulsion system, but he was also a visionary. In many of his patents, he not only created new inventions, but also sketched out the framework for even more advanced alternatives to traditional propulsion systems, sometimes using technology that hadn’t even been developed yet. The first potential alternative he described was nuclear fuel, noting as early as 1906 that harnessing the immense amounts of energy within atoms would be extremely helpful, if not absolutely necessary, for achieving interplanetary travel. Amazingly, nuclear fission was only successfully accomplished in 1938, 32 years after Goddard envisioned it as a potential alternative to liquid propulsion. As of now, no rockets make use of nuclear propulsion. However, the technology has been experimented with extensively, first by the NERVA project in the 1950s and more recently by DRAKO in the 2020s. However, both of these projects were discontinued due to political and budgetary concerns. Nuclear propulsion technology, as with many of these alternate sources of propulsion, would not be used for the initial burst of thrust, but would rather give rockets extra power once they reach space. 

    Goddard Diary Snippet


    Goddard, R. (1970). Material for an Autobiography. Robert Goddard papers database provided by Microsearch Corporation www.microsearch.net. https://database.goddard.microsearch.net/Document?db=GODDARD-UNRESTRICTED& 


    Another idea sketched out by Goddard in a patent filed in 1917 was using ion-based propulsion to supplement traditional solid or liquid propulsion. This method uses a pair of electrodes to generate a stream of charged ions, which can be accelerated out of the back of the rocket to create thrust in the same way as traditional exhaust. The benefit of this power is that ions can be continuously generated, thus allowing for a long-term source of propulsion that can supplement traditional propulsionary methods. Ion propulsion was first successfully achieved on a US-based mission with Deep Space 1 in 1998, more than 70 years after Goddard proposed the idea. While current ion propulsion technology is unable to provide the raw thrust necessary to boost a rocket off the ground, its continuous source of thrust as a supplement to other fuel sources has proven extremely useful for launching small satellites into orbit. In order to implement it on a large scale, however, rare earth elements such as xenon or neon are needed in high quantities, which has limited the utility of this method. 

    Ion Thruster
Goddard Ion Thruster Patent

    NASA. (1970). Ion Thruster. Nasa Image Archive. Retrieved from https://images.nasa.gov/details/GRC-1970-C-02492 

    Goddard, Robert (1920), Method and Means for Producing Electrified Jets of Gas, US 1363037, USPTO, https://patents.google.com/patent/US1363037A/en?oq=US+1363037 


    The final advanced propulsion method considered by Goddard was solar power. Specifically, he envisioned using mirrors to collect sunlight and focus it, either onto a device that could convert it into usable energy, or to vaporize a liquid and harness that energy using a turbine. In the modern day, solar power is widely used, specifically as a source of energy for smaller crafts like satellites, and is also used in tandem with ion propulsion, with solar power providing the energy needed to charge the electrodes. Furthermore, the sun’s energy has also been used as a direct source of propulsion. Specifically, large thin mirrors called solar sails are attached to many crafts, which allow photons from the sun to bounce off the sail, thus transferring their energy to the spaceship and propelling it forwards (albeit with a very small force of thrust). 

    Goddard Solar Power PatentSolar Energy Excerpt

    Goddard, Robert (1914), Apparatus for Absorbing Solar Energy, US 1969839, USPTO, https://patents.google.com/patent/US1969839A/en?oq=US+1969839

  • Part 6: Lesson Closure and Additional Resources

    From his first solid-fuel prototypes to the groundbreaking launch of the world’s first liquid-fueled rocket, Robert Goddard revolutionized how humanity approached the problem of leaving Earth. His work was both revolutionary and visionary, introducing possibilities for space travel that had never even been considered before. What began as precarious assemblies of piping and fuel evolved into engines that could one day power interplanetary voyages.

    Throughout this lesson, we’ve seen how engineering choices, from fuel type to nozzle design, are shaped by tradeoffs in efficiency, safety and control. We’ve explored how these principles continue to guide modern rocketry, and how Goddard’s original designs and principles are still central to modern rocketry. 

    But perhaps most remarkably, we’ve seen that Goddard’s imagination didn’t stop at what was possible in his lifetime. He anticipated technologies like ion propulsion and nuclear-powered rockets, ideas that remain at the frontier of space exploration over a century later.

    If you would like to learn more about the amazing life of Robert H. Goddard, and rockets in general, the National Space Society has many additional resources that you can consult. You can take a look at the Goddard 100 project to see how contestants followed in  Goddard’s footsteps by eloquently combining engineering, art, and the written word. Furthermore, you can visit (url) to learn more about Goddard’s life and inspiration. Finally, you can consult other agencies, including the International Space Elevator Consortium, the International Space Exploration Coordination Group, or Government agencies and Universities that have studied Goddard’s work and life.

    Goddard Contributions

  • Additional Resources!

    NSS Blog: An online blog containing posts about many space-related topics, including rockets and propulsion

    https://nss.org/category/blog/

    NSS Space Forum: a forum containing videos produced by NSS space ambassadors about anything space related

    https://nss.org/nss-space-forums/

    Build your own model rockets through Estes rockets!

    https://estesrockets.com/?

    NASA Goddard Flight Center Website: A Website containing hundreds of math and engineering problems related to rocketry!

    https://spacemath.gsfc.nasa.gov/SpaceMath.html

    Math and Rockets in Sci Fi Movies (6:25 duration): A video discussing places where math and science show up in sci-fi movies!



    A full video of a SpaceX Rocket Launch! (15:42 duration)


  • Postcards to Space!

    Send a Postcard to Space through NSS Supported Blue Origin Club For The Future initiative!

    Visit: SpacEdge Academy Postcards in Space Course