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Rocketry Basics This pamphlet was developed using information from the Education Working Group—NASA Johnson Space Center http://quest.arc.nasa.gov/space/teachers/rockets/

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Rocketry Basics

This pamphlet was developed using information from the Education Working Group—NASA Johnson Space Center

http://quest.arc.nasa.gov/space/teachers/rockets/

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This publication was developed for theNational Aeronautics and SpaceAdministration with the assistance ofhundreds of teachers in the Texas Region IVarea and educators of the AerospaceEducation Services Program, OklahomaState University.

Writers:

Deborah A. ShearerGregory L. Vogt, Ed.D.Teaching From Space ProgramNASA Johnson Space CenterHouston, TX

Editor:

Carla B. RosenbergTeaching From Space ProgramNASA HeadquartersWashington, DC

Special Thanks to:

Timothy J. WickenheiserChief, Advanced Mission Analysis BranchNASA Lewis Research Center

Gordon W. EskridgeAerospace Education SpecialistOklahoma State University

Dale M. OliveTeacher, Hawaii

Acknowledgments

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Brief History ofRockets science and technology of the past. They are

natural outgrowths of literally thousands of years ofexperimentation and research on rockets and rocketpropulsion.

One of the first devices to successfullyemploy the principles essential to rocket flight was awooden bird. The writings of Aulus Gellius, aRoman, tell a story of a Greek named Archytas wholived in the city of Tarentum, now a part of southernItaly. Somewhere around the year 400 B.C.,Archytas mystified and amused the citizens ofTarentum by flying a pigeon made of wood.Escaping steam propelled the bird suspended onwires. The pigeon used the action-reactionprinciple, which was not to be stated as a scientificlaw until the 17th century.

About three hundred years after the pigeon,another Greek, Hero of Alexandria, invented a

similar rocket-like device called an aeolipile. It,too, used steam as a propulsive gas. Hero

mounted a sphere on top of a water kettle.A fire below the kettle turned the water intosteam, and the gas traveled through pipes

to the sphere. Two L-shaped tubes onopposite sides of the sphere allowed the gas

to escape, and in doing so gave a thrust to thesphere that caused it to rotate.

Just when the first true rockets appeared isunclear. Stories of early rocket-like devices appearsporadically through the historical records of variouscultures. Perhaps the first true rockets were

accidents. In the first century A.D., theChinese reportedly had a simple form ofgunpowder made from saltpeter, sulfur, andcharcoal dust. They used the gunpowdermostly for fireworks in religious and other

festive celebrations. To create explosionsduring religious festivals, they filled bamboo tubeswith the mixture and tossed them into fires.Perhaps some of those tubes failed to explode andinstead skittered out of the fires, propelled by thegases and sparks produced from the burninggunpowder.

The Chinese began experimenting with thegunpowder-filled tubes. At some point, theyattached bamboo tubes to arrows and launchedthem with bows. Soon they discovered that

these gunpowder tubes could launchthemselves just by the power producedfrom the escaping gas. The true rocket was

born.Hero Engine

oday’s rockets are remarkable collections ofhuman ingenuity that have their roots in theT

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The date reporting the first use of truerockets was in 1232. At this time, the Chinese andthe Mongols were at war with each other. Duringthe battle of Kai-Keng, the Chinese repelled theMongol invaders by a barrage of “arrows of flyingfire.” These fire-arrows were a simple form of asolid-propellant rocket. A tube, capped at one end,contained gunpowder. The other end was left openand the tube was attached to a long stick. Whenthe powder ignited, the rapid burning of the powderproduced fire, smoke, and gas that escaped out theopen end and produced a thrust. The stick acted as

By the 16th century rockets fell into a time ofdisuse as weapons of war, though they were stillused for fireworks displays, and a German fireworksmaker, Johann Schmidlap, invented the “steprocket,” a multi-staged vehicle for lifting fireworks tohigher altitudes. A large sky rocket (first stage)carried a smaller sky rocket (second stage). Whenthe large rocket burned out, the smaller onecontinued to a higher altitude before showering thesky with glowing cinders. Schmidlap’s idea is basicto all rockets today that go into outer space.

Nearly all uses of rockets up to this timewere for warfare or fireworks, but an interesting oldChinese legend reports the use of rockets as ameans of transportation. With the help of many

a simple guidance system that kept the rocketheaded in one general direction as it flew throughthe air. How effective these arrows of flying firewere as weapons of destruction is not clear, buttheir psychological effects on the Mongols musthave been formidable.

Following the battle of Kai-Keng, theMongols produced rockets of their own and mayhave been responsible for the spread of rockets toEurope. Many records describe rocket experimentsthrough out the 13th to the 15th centuries. InEngland, a monk named Roger Bacon worked onimproved forms of gunpowder that greatly increasedthe range of rockets. In France, Jean Froissartachieved more accurate flights by launching rocketsthrough tubes. Froissart’s idea was the forerunnerof the modern bazooka. Joanes de Fontana of Italydesigned a surface-running rocket-powered torpedofor setting enemy ships on fire.

assistants, a lesser-known Chinese official namedWan-Hu assembled a rocket-powered flying chair.He had two large kites attached to the chair, andfixed to the kites were forty-seven fire-arrowrockets.

On the day of the flight, Wan-Hu sat himselfon the chair and gave the command to light therockets. Forty-seven rocket assistants, each armedwith torches, rushed forward to light the fuses. Atremendous roar filled the air, accompanied bybillowing clouds of smoke. When the smokecleared, Wan-Hu and his flying chair were gone. Noone knows for sure what happened to Wan-Hu, butif the event really did take place, Wan-Hu and hischair probably did not survive the explosion. Fire-arrows were as apt to explode as to fly.

Rocketry Becomes a Science

During the latter part of the 17th century, thegreat English scientist Sir Isaac Newton (1642-1727) laid the scientific foundations for modernrocketry. Newton organized his understanding ofphysical motion into three scientific laws. The lawsexplain how rockets work and why they are able towork in the vacuum of outer space. (See RocketPrinciples for more information on Newton’s ThreeLaws of Motion beginning on page 13.)

Surface-Running Torpedo

Chinese soldier launches a fire-arrow.

Chinese Fire-Arrows

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Tsiolkovsky Rocket Designs

Austrian rocket brigades met their match againstnewly designed artillery pieces. Breech-loadingcannon with rifled barrels and exploding warheadswere far more effective weapons of war than thebest rockets. Once again, the military relegatedrocketry to peacetime uses.

Modern Rocketry Begins

In 1898, a Russian schoolteacher,Konstantin Tsiolkovsky (1857-1935), proposed theidea of space exploration by rocket. In a report hepublished in 1903, Tsiolkovsky suggested the use ofliquid propellants for rockets in order to achievegreater range. Tsiolkovsky stated that only theexhaust velocity of escaping gases limited thespeed and range of a rocket. For his ideas, carefulresearch, and great vision, Tsiolkovsky has beencalled the father of modern astronautics.

Early in the 20th century, an American,Robert H. Goddard (1882-1945), conductedpractical experiments in rocketry. He had becomeinterested in a way of achieving higher altitudesthan were possible for lighter-than-air balloons. Hepublished a pamphlet in 1919 entitled A Method ofReaching Extreme Altitudes. Today we call thismathematical analysis the meteorological soundingrocket.

In his pamphlet, Goddard reached severalconclusions important to rocketry. From his tests,he stated that a rocket operates with greater

Newton’s laws soon began to have apractical impact on the design of rockets. About1720, a Dutch professor, Willem Gravesande, builtmodel cars propelled by jets of steam. Rocketexperimenters in Germany and Russia beganworking with rockets with a mass of more than 45kilograms. Some of these rockets were so powerfulthat their escaping exhaust flames bored deepholes in the ground even before liftoff.

During the end of the 18th century and earlyinto the 19th, rockets experienced a brief revival asa weapon of war. The success of Indian rocketbarrages against the British in 1792 and again in1799 caught the interest of an artillery expert,Colonel William Congreve. Congreve set out todesign rockets for use by the British military.

The Congreve rockets were highlysuccessful in battle. Used by British ships to poundFort McHenry in the War of 1812, they inspiredFrancis Scott Key to write “the rockets’ red glare,” inhis poem that later became The Star-SpangledBanner.

Even with Congreve’s work, the accuracy ofrockets still had not improved much from the earlydays. The devastating nature of war rockets wasnot their accuracy or power, but their numbers.During a typical siege, thousands of them might befired at the enemy. All over the world, rocketresearchers experimented with ways to improveaccuracy. An Englishman, William Hale, developeda technique called spin stabilization. In this method,the escaping exhaust gases struck small vanes atthe bottom of the rocket, causing it to spin much asa bullet does in flight. Many rockets still usevariations of this principle today.

Rocket use continued to be successful inbattles all over the European continent.However, in a war with Prussia, the

Legendary Chinese official Wan Hu braceshimself for "liftoff."

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efficiency in a vacuum than in air. At thetime, most people mistakenly believed thatthe presence of air was necessary for arocket to push against. A New York Timesnewspaper editorial of the day mockedGoddard’s lack of the “basic physics ladledout daily in our high schools.” Goddardalso stated that multistage or step rocketswere the answer to achieving high altitudesand that the velocity needed to escapeEarth’s gravity could be achieved in thisway.

Goddard’s earliest experimentswere with solid-propellant rockets. In 1915,he began to try various types of solid fuelsand to measure the exhaust velocities ofthe burning gases.

While working on solid-propellantrockets, Goddard became convinced that arocket could be propelled better by liquidfuel. No one had ever built a successfulliquid-propellant rocket before. It was amuch more difficult task than building solid-propellant rockets. Fuel and oxygen tanks,turbines, and combustion chambers would

be needed. In spite of the difficulties, Goddardachieved the first successful flight with a liquid-propellant rocket on March 16, 1926. Fueled byliquid oxygen and gasoline, the rocket flew for onlytwo and a half seconds, climbed 12.5 meters, andlanded 56 meters away in a cabbage patch. Bytoday’s standards, the flight was unimpressive, butlike the first powered airplane flight by the Wrightbrothers in 1903, Goddard’s gasoline rocketbecame the forerunner of a whole new era in rocketflight.

Goddard’s experiments in liquid-propellantrockets continued for many years. His rockets grewbigger and flew higher. He developed a gyroscopesystem for flight control and a payload compartmentfor scientific instruments. Parachute recoverysystems returned the rockets and instruments safelyto the ground. We call Goddard the father ofmodern rocketry for his achievements.

A third great space pioneer, HermannOberth (1894-1989) of Germany, published a bookin 1923 about rocket travel into outer space. Hiswritings were important. Because of them,many small rocket societies sprang up

Dr. Goddard's 1926 Rocket

Dr. Robert H. Goddard makes adjustments on theupper end of a rocket combustion chamber in this 1940picture taken in Roswell, New Mexico.

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around the world. In Germany, the formation of onesuch society, the Verein fur Raumschiffahrt (Societyfor Space Travel), led to the development of the V-2rocket, which the Germans used against Londonduring World War II. In 1937, German engineersand scientists, including Oberth, assembled inPeenemunde on the shores of the Baltic Sea.There, under the directorship of Wernher vonBraun, engineers and scientists built and flew themost advanced rocket of its time.

The V-2 rocket (in Germany called the A-4)was small by comparison to today’s rockets. Itachieved its great thrust by burning a mixture ofliquid oxygen and alcohol at a rate of about one tonevery seven seconds. Once launched, the V-2 wasa formidable weapon that could devastate wholecity blocks.

Fortunately for London and the Allied forces,the V-2 came too late in the war to change itsoutcome. Nevertheless, by war’s end, Germanrocket scientists and engineers had already laidplans for advanced missiles capable of spanningthe Atlantic Ocean and landing in the United States.These missiles would have had winged upperstages but very small payload capacities.

With the fall of Germany, the Allies capturedmany unused V-2 rockets and components. ManyGerman rocket scientists came to the United States.Others went to the Soviet Union. The Germanscientists, including Wernher von Braun, wereamazed at the progress Goddard had made.

Both the United States and the Soviet Unionrecognized the potential of rocketry as a militaryweapon and began a variety of experimentalprograms. At first, the United States began aprogram with high-altitude atmospheric soundingrockets, one of Goddard’s early ideas. Later, theydeveloped a variety of medium- and long-rangeintercontinental ballistic missiles. These becamethe starting point of the U.S. space program.Missiles such as the Redstone, Atlas, and Titanwould eventually launch astronauts into space.

On October 4, 1957, the Soviet Unionstunned the world by launching an Earth-orbitingartificial satellite. Called Sputnik I, the satellite wasthe first successful entry in a race for spacebetween the two superpower nations. Less than amonth later, the Soviets followed with the launch ofa satellite carrying a dog named Laika on board.Laika survived in space for seven days before beingput to sleep before the oxygen supply ran out.

A few months after the first Sputnik, theUnited States followed the Soviet Union with a

satellite of its own. The U.S. Army

German V-2 (A-4) Missile

Container forliquid oxygen

Propellantturbopump

Air vane

Warhead(Explosive charge)

Alcoholmainvalve

Oxygen mainvalve

Jet vane

Rocket motor

Vaporizer for turbinepropellant (propellantturbopump drive)

Container for turbine propellant(hydrogen peroxide)

Steamexhaust

from turbine

Automatic gyrocontrol

Guidebeam and radiocommand receivers

Container foralcohol-watermixture

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launched Explorer I on January 31, 1958. InOctober of that year, the United States formallyorganized its space program by creating theNational Aeronautics and Space Administration(NASA). NASA became a civilian agency with thegoal of peaceful exploration of space for the benefitof all humankind.

Soon, rockets launched many people andmachines into space. Astronauts orbited Earth andlanded on the Moon. Robot spacecraft traveled tothe planets. Space suddenly opened up to explor-ation and commercial exploitation. Satellitesenabled scientists to investigate our world, forecastthe weather, and communicate instantaneouslyaround the globe. The demand for more and largerpayloads created the need to develop a wide arrayof powerful and versatile rockets.

Scientific exploration of space using roboticspacecraft proceeded at a fast pace. Both Russiaand the United States began programs to investi-gate the Moon. Developing the technology tophysically get a probe to the Moon became theinitial challenge. Within nine months of Explorer 1the United States launched the first unmanned lunarprobe, but the launch vehicle, an Atlas with an Ableupper stage, failed 45 seconds after liftoff when thepayload fairing tore away from the vehicle. TheRussians were more successful with Luna 1, whichflew past the Moon in January of 1959. Later thatyear the Luna program impacted a probe on theMoon, taking the first pictures of its far side. Be-tween 1958 and 1960 the United States sent aseries of missions, the Pioneer Lunar Probes, tophotograph and obtain scientific data about theMoon. These probes were generally unsuccessful,primarily due to launch vehicle failures. Only one ofeight probes accomplished its intended mission tothe Moon, though several, which were stranded inorbits between Earth and the Moon, did provideimportant scientific information on the number andextent of the radiation belts around Earth. TheUnited States appeared to lag behind the SovietUnion in space.

With each launch, manned spaceflight camea step closer to becoming reality. In April of 1961, aRussian named Yuri Gagarin became the first manto orbit Earth. Less than a month later the UnitedStates launched the first American, Alan Shepard,into space. The flight was a sub-orbital lofting intospace, which immediately returned to Earth. TheRedstone rocket was not powerful enough to placethe Mercury capsule into orbit. The flight lasted onlya little over 15 minutes and reached an altitude of187 kilometers. Alan Shepard experienced about

five minutes of microgravity then returned to Earth,during which he encountered forces twelve timesgreater than the force of gravity. Twenty days later,though still technically behind the Soviet Union,President John Kennedy announced the objective toput a man on the Moon by the end of the decade.

In February of 1962, John Glenn becamethe first American to orbit Earth in a small capsuleso filled with equipment that he only had room to sit.Launched by the more powerful Atlas vehicle, JohnGlenn remained in orbit for four hours and fifty-fiveminutes before splashing down in the AtlanticOcean. The Mercury program had a total of sixlaunches: two suborbital and four orbital. Theselaunches demonstrated the United States’ ability tosend men into orbit, allowed the crew to function inspace, operate the spacecraft, and make scientificobservations.

The United States then began an extensiveunmanned program aimed at supporting themanned lunar landing program. Three separateprojects gathered information on landing sites andother data about the lunar surface and the sur-rounding environment. The first was the Rangerseries, which was the United States first attempt to

Close-up picture of the Moon taken by the Ranger9 spacecraft just before impact. The small circleto the left is the impact site.

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take close-up photographs of the Moon. Thespacecraft took thousands of black and whitephotographs of the Moon as it descended andcrashed into the lunar surface. Though the Rangerseries supplied very detailed data, mission plannersfor the coming Apollo mission wanted more exten-sive data.

The final two lunar programs were designedto work in conjunction with one another. LunarOrbiter provided an extensive map of the lunarsurface. Surveyor provided detailed color photo-graphs of the lunar surface as well as data on theelements of the lunar sediment and an assessmentof the ability of the sediment to support the weight ofthe manned landing vehicles. By examining bothsets of data, planners were able to identify sites forthe manned landings. However, a significantproblem existed, the Surveyor spacecraft was toolarge to be launched by existing Atlas/Agenarockets, so a new high energy upper stage calledthe Centaur was developed to replace the Agenaspecifically for this mission. The Centaur upperstage used efficient hydrogen and oxygen propel-lants to dramatically improve its performance, butthe super cold temperatures and highly explosivenature presented significant technical challenges.In addition, they built the tanks of the Centaur withthin stainless steel to save precious weight. Moder-ate pressure had to be maintained in the tank toprevent it from collapsing upon itself. Rocketbuilding was refining the United State's capability toexplore the Moon.

The Gemini was the second mannedcapsule developed by the United States. It wasdesigned to carry two crew members and waslaunched on the largest launch vehicle available—the Titan II. President Kennedy’s mandate signifi-cantly altered the Gemini mission from the generalgoal of expanding experience in space to preparefor a manned lunar landing on the Moon. It pavedthe way for the Apollo program by demonstratingrendezvous and docking required for the lunarlander to return to the lunar orbiting spacecraft, theextravehicular activity (EVA) required for the lunarsurface exploration and any emergency repairs, andfinally the ability of humans to function during theeight day manned lunar mission duration. TheGemini program launched ten manned missions in1965 and 1966, eight flights rendezvous anddocked with unmanned stages in Earth orbit andseven performed EVA.

Launching men to the moon required launchvehicles much larger than those available. To

achieve this goal the United States

A fish-eye camera view of a Saturn 5 rocket just afterengine ignition.

developed the Saturn launch vehicle. The Apollocapsule, or command module, held a crew of three.The capsule took the astronauts into orbit about theMoon, where two astronauts transferred into a lunarmodule and descended to the lunar surface. Aftercompleting the lunar mission, the upper section ofthe lunar module returned to orbit to rendezvouswith the Apollo capsule. The Moonwalkers trans-ferred back to the command module and a servicemodule, with an engine, propelled them back toEarth. After four manned test flights, Apollo 11astronaut Neil Armstrong became the first man onthe moon. The United States returned to the lunarsurface five more times before the manned lunarprogram was completed. After the lunar programthe Apollo program and the Saturn boosterlaunched Skylab, the United State's first spacestation. A smaller version of the Saturn vehicleransported the United States' crew for the firstrendezvous in space between the United States andRussia on the Apollo-Soyuz mission.

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During this manned lunar program, un-manned launch vehicles sent many satellites toinvestigate our planet, forecast the weather, andcommunicate instantaneously around the world. Inaddition, scientists began to explore other planets.Mariner 2 successfully flew by Venus in 1962,becoming the first probe to fly past another planet.The United State’s interplanetary space programthen took off with an amazing string of successfullaunches. The program has visited every planetexcept Pluto.

After the Apollo program the United Statesbegan concentrating on the development of areusable launch system, the Space Shuttle. Solidrocket boosters and three main engines on theorbiter launch the Space Shuttle. The reusableboosters jettison little more than 2 minutes into theflight, their fuel expended. Parachutes deploy todecelerate the solid rocket boosters for a safesplashdown in the Atlantic ocean, where two shipsrecover them. The orbiter and external tankcontinue to ascend. When the main engines shutdown, the external tank jettisons from the orbiter,eventually disintegrating in the atmosphere. A brieffiring of the spacecraft’s two orbital maneuveringsystem thrusters changes the trajectory to achieveorbit at a range of 185-402 kilometers above Earth’ssurface. The Space Shuttle orbiter can carryapproximately 25,000 kilograms of payload into orbitso crew members can conduct experiments in amicrogravity environment. The orbitalmaneuvering system thrusters fire to slowthe spacecraft for reentry into Earth’satmosphere, heating up the orbiter’sthermal protection shield up to 816°Celsius. On the Shuttle’s final descent, itreturns to Earth gliding like an airplane.

Since the earliest days of discov-ery and experimentation, rockets haveevolved from simple gunpowder devicesinto giant vehicles capable of travelinginto outer space, taking astronauts to theMoon, launching satellites to explore ouruniverse, and enabling us to conductscientific experiments aboard the SpaceShuttle. Without a doubt rockets haveopened the universe to direct explorationby humankind. What role will rocketsplay in our future?

The goal of the United Statesspace program is to expand our horizonsin space, and then to open the spacefrontier to international human expansionand the commercial development. For

this to happen, rockets must become more costeffective and more reliable as a means of getting tospace. Expensive hardware cannot be thrown awayeach time we go to space. It is necessary to con-tinue the drive for more reusability started during theSpace Shuttle program. Eventually NASA maydevelop aerospace planes that will take off fromrunways, fly into orbit, and land on those samerunways, with operations similar to airplanes.

To achieve this goal two programs arecurrently under development. The X33 and X34programs will develop reusable vehicles, whichsignificantly decrease the cost to orbit. The X33 willbe a manned vehicle lifting about the same payloadcapacity as the Space Shuttle. The X34 will be asmall, reusable unmanned launch vehicle capableof launching 905 kilograms to space and reduce thelaunch cost relative to current vehicles by twothirds.

The first step towards building fully reusablevehicles has already occurred. A project called theDelta Clipper is currently being tested. The DeltaClipper is a vertical takeoff and soft landing vehicle.It has demonstrated the ability to hover and maneu-ver over Earth using the same hardware over andover again. The program uses much existingtechnology and minimizes the operating cost.Reliable, inexpensive rockets are the key to en-abling humans to truly expand into space.

Three reusable future space vehicles concepts underconsideration by NASA.

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enclosing a gas under pressure. A small opening atone end of the chamber allows the gas to escape,and in doing so provides a thrust that propels therocket in the opposite direction. A good example ofthis is a balloon. Air inside a balloon is compressedby the balloon’s rubber walls. The air pushes backso that the inward and outward pressing forcesbalance. When the nozzle is released, air escapesthrough it and the balloon is propelled in theopposite direction.

When we think of rockets, we rarely think ofballoons. Instead, our attention is drawn to thegiant vehicles that carry satellites into orbit andspacecraft to the Moon and planets. Nevertheless,

there is a strong similarity between the two.The only significant difference is the way the

pressurized gas is produced. With spacerockets, the gas is produced by burning

propellants that can be solid or liquid inform or a combination of the two.

One of the interesting factsabout the historical development ofrockets is that while rockets androcket-powered devices have beenin use for more than two thousandyears, it has been only in the lastthree hundred years that rocketexperimenters have had a scientificbasis for understanding how theywork.

The science of rocketrybegan with the publishing of a book in

1687 by the great English scientist SirIsaac Newton. His book, entitled

Philosophiae Naturalis PrincipiaMathematica, described physical principles in

nature. Today, Newton’s work is usually just calledthe Principia.

In the Principia, Newton stated threeimportant scientific principles that govern the motionof all objects, whether on Earth or in space.Knowing these principles, now called Newton’sLaws of Motion, rocketeers have been able toconstruct the modern giant rockets of the 20thcentury such as the Saturn 5 and the Space Shuttle.Here now, in simple form, are Newton’s Laws ofMotion.

1. Objects at rest will stay at rest and objects inmotion will stay in motion in a straight line unlessacted upon by an unbalanced force.

Air Moves Balloon Moves

Inside Air Pressure

Outside Air Pressure

Rocket Principles A rocket in its simplest form is a chamber

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become unbalanced. The ball then changes from astate of rest to a state of motion.

In rocket flight, forces become balanced andunbalanced all the time. A rocket on the launch padis balanced. The surface of the pad pushes therocket up while gravity tries to pull it down. As theengines are ignited, the thrust from the rocketunbalances the forces, and the rocket travelsupward. Later, when the rocket runs out of fuel, itslows down, stops at the highest point of its flight,and then falls back to Earth.

Objects in space also react to forces. Aspacecraft moving through the solar system is inconstant motion. The spacecraft will travel

Ball at Rest

Lift

Gravity

2. Force is equal to mass times acceleration.

3. For every action there is always an opposite andequal reaction.

As will be explained shortly, all three laws are reallysimple statements of how things move. But withthem, precise determinations of rocket performancecan be made.

Newton’s First Law

This law of motion is just an obviousstatement of fact, but to know what it means,it is necessary to understand the terms rest,motion, and unbalanced force.

Rest and motion can be thought of asbeing opposite to each other. Rest is the state ofan object when it is not changing position inrelation to its surroundings. If you are sitting still ina chair, you can be said to be at rest. This term,however, is relative. Your chair may actually be oneof many seats on a speeding airplane. Theimportant thing to remember here is that you are notmoving in relation to your immediate surroundings.If rest were defined as a total absence of motion, itwould not exist in nature. Even if you were sitting inyour chair at home, you would still be moving,because your chair is actually sitting on the surfaceof a spinning planet that is orbiting a star. The staris moving through a rotating galaxy that is, itself,moving through the universe. While sitting “still,”you are, in fact, traveling at a speed of hundreds ofkilometers per second.

Motion is also a relative term. All matter inthe universe is moving all the time, but in the firstlaw, motion here means changing position inrelation to surroundings. A ball is at rest if it issitting on the ground. The ball is in motion if it isrolling. A rolling ball changes its position in relationto its surroundings. When you are sitting on a chairin an airplane, you are at rest, but if you get up andwalk down the aisle, you are in motion. A rocketblasting off the launch pad changes from a state ofrest to a state of motion.

The third term important to understandingthis law is unbalanced force. If you hold a ball inyour hand and keep it still, the ball is at rest. All thetime the ball is held there though, it is being actedupon by forces. The force of gravity is trying to pullthe ball downward, while at the same time yourhand is pushing against the ball to hold it up. Theforces acting on the ball are balanced. Let the ballgo, or move your hand upward, and the forces

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in a straight line if the forces on it are in balance.This happens only when the spacecraft is very farfrom any large gravity source such as Earth or theother planets and their moons. If the spacecraftcomes near a large body in space, the gravity ofthat body will unbalance the forces and curve thepath of the spacecraft. This happens, in particular,when a satellite is sent by a rocket on a path that istangent to the planned orbit about a planet. Theunbalanced gravitational force causes the satellite'spath to change to an arc. The arc is a combinationof the satellite's fall inward toward the planet'scenter and its forward motion. When these twomotions are just right, the shape of the satellite'spath matches the shape of the body it is travelingaround. Consequently, an orbit is produced. Sincethe gravitational force changes with height above aplanet, each altitude has its own unique velocity thatresults in a circular orbit. Obviously, controllingvelocity is extremely important for maintaining thecircular orbit of the spacecraft. Unless anotherunbalanced force, such as friction with gas

Action

Reaction

Satellite's Forward Motion

Pull ofPlanet'sGravityResultant Path

(Orbit)

The combination of a satellite's forward motion and the pullof gravity of the planet, bend the satellite's path into anorbit.

molecules in orbit or the firing of a rocket engine inthe opposite direction , slows down the spacecraft, itwill orbit the planet forever.

Now that the three major terms of this firstlaw have been explained, it is possible to restatethis law. If an object, such as a rocket, is at rest, ittakes an unbalanced force to make it move. If theobject is already moving, it takes an unbalancedforce, to stop it, change its direction from a straightline path, or alter its speed.

Newton’s Third Law

For the time being, we will skip the Second Law andgo directly to the Third. This law states that everyaction has an equal and opposite reaction. If youhave ever stepped off a small boat that has notbeen properly tied to a pier, you will know exactlywhat this law means.

A rocket can liftoff from a launch pad onlywhen it expels gas out of its engine. The rocketpushes on the gas, and the gas in turn pushes onthe rocket. The whole process is very similar toriding a skateboard. Imagine that a skateboard andrider are in a state of rest (not moving). The riderjumps off the skateboard. In the Third Law, thejumping is called an action. The skateboardresponds to that action by traveling some distancein the opposite direction. The skateboard’s oppositemotion is called a reaction. When the distancetraveled by the rider and the skateboard arecompared, it would appear that the skateboard hashad a much greater reaction than the action of therider. This is not the case. The reason the

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skateboard has traveled farther is that it has lessmass than the rider. This concept will be betterexplained in a discussion of the Second Law.

With rockets, the action is the expelling ofgas out of the engine. The reaction is themovement of the rocket in the opposite direction.To enable a rocket to lift off from the launch pad, theaction, or thrust, from the engine must be greaterthan the weight of the rocket. While on the pad theweight of the rocket is balanced by the force of theground pushing against it. Small amounts of thrustresult in less force required by the ground to keepthe rocket balanced. Only when the thrust isgreater than the weight of the rocket does the forcebecome unbalanced and the rocket lifts off. Inspace where unbalanced force is used to maintainthe orbit, even tiny thrusts will cause a change inthe unbalanced force and result in the rocketchanging speed or direction.

One of the most commonly asked questionsabout rockets is how they can work in space wherethere is no air for them to push against. The answerto this question comes from the Third Law. Imaginethe skateboard again. On the ground, the only partair plays in the motions of the rider and theskateboard is to slow them down. Moving throughthe air causes friction, or as scientists call it, drag.The surrounding air impedes the action-reaction.

As a result rockets actually work better inspace than they do in air. As the exhaust gasleaves the rocket engine it must push away thesurrounding air; this uses up some of the energy ofthe rocket. In space, the exhaust gases can escapefreely.

Newton’s Second Law

This law of motion is essentially a statement of amathematical equation. The three parts of theequation are mass (m), acceleration (a), and force(f). Using letters to symbolize each part, theequation can be written as follows:

f = ma

The equation reads: force equals mass timesacceleration. To explain this law, we will use an oldstyle cannon as an example.

When the cannon is fired, an explosion propels acannon ball out the open end of the barrel. It flies akilometer or two to its target. At the same time the

cannon itself is pushed backward a meter or two.This is action and reaction at work (Third Law). Theforce acting on the cannon and the ball is the same.What happens to the cannon and the ball isdetermined by the Second Law. Look at the twoequations below.

f = m(cannon )

a(cannon )

f = m(ball )

a(ball )

The first equation refers to the cannon and thesecond to the cannon ball. In the first equation, themass is the cannon itself and the acceleration is themovement of the cannon. In the second equationthe mass is the cannon ball and the acceleration isits movement. Because the force (exploding gunpowder) is the same for the two equations, theequations can be combined and rewritten below.

m(cannon )

a(cannon )

= m(ball )

a(ball )

In order to keep the two sides of the equationsequal, the accelerations vary with mass. In otherwords, the cannon has a large mass and a smallacceleration. The cannon ball has a small massand a large acceleration.

Apply this principle to a rocket. Replace themass of the cannon ball with the mass of the gasesbeing ejected out of the rocket engine. Replace themass of the cannon with the mass of the rocketmoving in the other direction. Force is the pressurecreated by the controlled explosion taking placeinside the rocket's engines. That pressureaccelerates the gas one way and the rocket theother.

Some interesting things happen with rocketsthat do not happen with the cannon and ball in thisexample. With the cannon and cannon ball, thethrust lasts for just a moment. The thrust for therocket continues as long as its engines are

AM

A MF

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firing. Furthermore, the mass of the rocket changesduring flight. Its mass is the sum of all its parts.Rocket parts include: engines, propellant tanks,payload, control system, and propellants. By far,the largest part of the rocket's mass is itspropellants. But that amount constantly changes asthe engines fire. That means that the rocket's massgets smaller during flight. In order for the left side ofour equation to remain in balance with the rightside, acceleration of the rocket has to increase asits mass decreases. That is why a rocket starts offmoving slowly and goes faster and faster as itclimbs into space.

Newton's Second Law of Motion isespecially useful when designing efficient rockets.To enable a rocket to climb into low Earth orbit, it isnecessary to achieve a speed, in excess of 28,000km per hour. A speed of over 40,250 km per hour,called escape velocity, enables a rocket to leaveEarth and travel out into deep space. Attainingspace flight speeds requires the rocket engine toachieve the greatest action force possible in theshortest time. In other words, the engine must burna large mass of fuel and push the resulting gas outof the engine as rapidly as possible. Ways of doingthis will be described in the next chapter.

Newton’s Second Law of Motion can berestated in the following way: the greater the massof rocket fuel burned, and the faster the gasproduced can escape the engine, the greater thethrust of the rocket.

Putting Newton’s Laws of MotionTogether

An unbalanced force must be exerted for arocket to lift off from a launch pad or for a craft inspace to change speed or direction (First Law).The amount of thrust (force) produced by a rocketengine will be determined by the rate at which themass of the rocket fuel burns and the speed of thegas escaping the rocket (Second Law). Thereaction, or motion, of the rocket is equal to and inthe opposite direction of the action, or thrust, fromthe engine (Third Law).

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exploded on launching. Others flew on erraticcourses and landed in the wrong place. Being arocketeer in the days of the fire-arrows must havebeen an exciting, but also a highly dangerousactivity.

Today, rockets are much more reliable.They fly on precise courses and are capable ofgoing fast enough to escape the gravitational pull ofEarth. Modern rockets are also more efficient todaybecause we have an understanding of the scientificprinciples behind rocketry. Our understanding hasled us to develop a wide variety of advanced rockethardware and devise new propellants that can beused for longer trips and more powerful takeoffs.

Rocket Engines and Their Propellants

Most rockets today operate with either solidor liquid propellants. The word propellant does notmean simply fuel, as you might think; it means bothfuel and oxidizer. The fuel is the chemical therocket burns but, for burning to take place, anoxidizer (oxygen) must be present. Jet enginesdraw oxygen into their engines from the surroundingair. Rockets do not have the luxury that jet planeshave; they must carry oxygen with them into space,where there is no air.

Solid rocket propellants, which are dry to thetouch, contain both the fuel and oxidizer combinedtogether in the chemical itself. Usually the fuel is amixture of hydrogen compounds and carbon andthe oxidizer is made up of oxygen compounds.Liquid propellants, which are often gases that havebeen chilled until they turn into liquids, are kept inseparate containers, one for the fuel and the otherfor the oxidizer. Just before firing, the fuel andoxidizer are mixed together in the engine.

A solid-propellant rocket has the simplestform of engine. It has a nozzle, a case, insulation,propellant, and an igniter. The case of the engine isusually a relatively thin metal that is lined withinsulation to keep the propellant from burningthrough. The propellant itself is packed inside theinsulation layer.

Many solid-propellant rocket engines featurea hollow core that runs through the propellant.Rockets that do not have the hollow core must beignited at the lower end of the propellants andburning proceeds gradually from one end of therocket to the other. In all cases, only the surface ofthe propellant burns. However, to get higher thrust,the hollow core is used. This increases the

Practical Rocketry he first rockets ever built, the fire-arrows of theChinese, were not very reliable. Many justT

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surface of the propellants available for burning. Thepropellants burn from the inside out at a muchhigher rate, sending mass out the nozzle at a higherrate and speed. This results in greater thrust. Somepropellant cores are star shaped to increase theburning surface even more.

To ignite solid propellants, many kinds ofigniters can be used. Fire-arrows were ignited byfuses, but sometimes these ignited too quickly andburned the rocketeer. A far safer and more reliableform of ignition used today is one that employselectricity. An electric current, coming through wiresfrom some distance away, heats up a special wireinside the rocket. The wire raises the temperatureof the propellant it is in contact with to thecombustion point.

Other igniters are more advanced than thehot wire device. Some are encased in a chemicalthat ignites first, which then ignites the propellants.Still other igniters, especially those for large rockets,are rocket engines themselves. The small engineinside the hollow core blasts a stream of flames andhot gas down from the top of the core and ignitesthe entire surface area of the propellants in afraction of a second.

The nozzle in a solid-propellant engine is anopening at the back of the rocket that permits thehot expanding gases to escape. The narrow part ofthe nozzle is the throat. Just beyond the throat isthe exit cone.

The purpose of the nozzle is to increase theacceleration of the gases as they leave the rocketand thereby maximize the thrust. It does this bycutting down the opening through which the gasescan escape. To see how this works, you canexperiment with a garden hose that has a spraynozzle attachment. This kind of nozzle does nothave an exit cone, but that does not matter in theexperiment. The important point about the nozzle isthat the size of the opening can be varied.

Start with the opening at its widest point.Watch how far the water squirts and feel the thrustproduced by the departing water. Now reduce thediameter of the opening, and again note thedistance the water squirts and feel the thrust.Rocket nozzles work the same way.

As with the inside of the rocket case,insulation is needed to protect the nozzle from thehot gases. The usual insulation is one thatgradually erodes as the gas passes through. Smallpieces of the insulation get very hot and break awayfrom the nozzle. As they are blown away, heat iscarried away with them.

The other main kind of rocket engine is onethat uses liquid propellants, which may be eitherpumped or fed into the engine by pressure. This isa much more complicated engine, as is evidencedby the fact that solid rocket engines were used for atleast seven hundred years before the firstsuccessful liquid engine was tested. Liquidpropellants have separate storage tanks—one forthe fuel and one for the oxidizer. They also have acombustion chamber, and a nozzle.

Nozzle Throat

Fins

Combustion Chamber

Propellant (grain)

Casing(body tube)

Igniter

Payload

Core

Solid Propellant Rocket

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The fuel of a liquid-propellant rocket isusually kerosene or liquid hydrogen; the oxidizer isusually liquid oxygen. They are combined inside acavity called the combustion chamber. Here thepropellants burn and build up high temperaturesand pressures, and the expanding gas escapesthrough the nozzle at the lower end. To get themost power from the propellants, they must bemixed as completely as possible. Small injectors(nozzles) on the roof of the chamber spray and mixthe propellants at the same time. Because the

chamber operates under high pressures, thepropellants need to be forced inside. Modern liquidrockets use powerful, lightweight turbine pumps totake care of this job.

With any rocket, and especially with liquid-propellant rockets, weight is an important factor. Ingeneral, the heavier the rocket, the more the thrustneeded to get it off the ground. Because of thepumps and fuel lines, liquid engines are muchheavier than solid engines.

One especially good method of reducing theweight of liquid engines is to make the exit cone ofthe nozzle out of very lightweight metals. However,the extremely hot, fast-moving gases that passthrough the cone would quickly melt thin metal.Therefore, a cooling system is needed. A highlyeffective though complex cooling system that isused with some liquid engines takes advantage ofthe low temperature of liquid hydrogen. Hydrogenbecomes a liquid when it is chilled to -253o C.Before injecting the hydrogen into the combustionchamber, it is first circulated through small tubesthat lace the walls of the exit cone. In a cutawayview, the exit cone wall looks like the edge ofcorrugated cardboard. The hydrogen in the tubesabsorbs the excess heat entering the cone wallsand prevents it from melting the walls away. It alsomakes the hydrogen more energetic because of theheat it picks up. We call this kind of cooling systemregenerative cooling.

Engine Thrust Control

Controlling the thrust of an engine is veryimportant to launching payloads (cargoes) into orbit.Thrusting for too short or too long of a period of timewill cause a satellite to be placed in the wrong orbit.This could cause it to go too far into space to beuseful or make the satellite fall back to Earth.Thrusting in the wrong direction or at the wrong timewill also result in a similar situation.

A computer in the rocket’s guidance systemdetermines when that thrust is needed and turns theengine on or off appropriately. Liquid engines dothis by simply starting or stopping the flow of propel-lants into the combustion chamber. On morecomplicated flights, such as going to the Moon, theengines must be started and stopped several times.

Some liquid-propellant engines control theamount of engine thrust by varying the amount ofpropellant that enters the combustion chamber.Typically the engine thrust varies for controlling theacceleration experienced by astronauts or to limitthe aerodynamic forces on a vehicle.

Payload

Oxidizer

Fuel

Pumps

Injectors

Combustion Chamber

Fins

Nozzle

Liquid Propellant Rocket

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Solid-propellant rockets are not as easy tocontrol as liquid rockets. Once started, thepropellants burn until they are gone. They are verydifficult to stop or slow down part way into the burn.Sometimes fire extinguishers are built into theengine to stop the rocket in flight. But using them isa tricky procedure and does not always work.Some solid-fuel engines have hatches on their sidesthat can be cut loose by remote control to releasethe chamber pressure and terminate thrust.

The burn rate of solid propellants is carefullyplanned in advance. The hollow core running thelength of the propellants can be made into a starshape. At first, there is a very large surfaceavailable for burning, but as the points of the starburn away, the surface area is reduced. For a time,less of the propellant burns, and this reduces thrust.The Space Shuttle uses this technique to reducevibrations early in its flight into orbit.

NOTE: Although most rockets used bygovernments and research organizations are veryreliable, there is still great danger associated withthe building and firing of rocket engines. Individualsinterested in rocketry should never attempt to buildtheir own engines. Even the simplest-looking rocketengines are very complex. Case-wall burstingstrength, propellant packing density, nozzle design,and propellant chemistry are all design problemsbeyond the scope of most amateurs. Many home-built rocket engines have exploded in the faces oftheir builders with tragic consequences.

Stability and Control Systems

Building an efficient rocket engine is onlypart of the problem in producing a successfulrocket. The rocket must also be stable in flight. Astable rocket is one that flies in a smooth, uniformdirection. An unstable rocket flies along an erraticpath, sometimes tumbling or changing direction.Unstable rockets are dangerous because it is notpossible to predict where they will go. They mayeven turn upside down and suddenly head backdirectly to the launch pad.

Making a rocket stable requires some formof control system. Controls can be either active orpassive. The difference between these and howthey work will be explained later. It is first importantto understand what makes a rocket stable orunstable.

All matter, regardless of size, mass, orshape, has a point inside called the center of mass

(CM). The center of mass is the exact

spot where all of the mass of that object is perfectlybalanced. You can easily find the center of mass ofan object such as a ruler by balancing the object onyour finger. If thematerial used to makethe ruler is of uniformthickness and density,the center of massshould be at the halfwaypoint between one endof the stick and theother. If the ruler weremade of wood, and aheavy nail were driveninto one of its ends, thecenter of mass would nolonger be in the middle.The balance point wouldthen be nearer the endwith the nail.

The center ofmass is important inrocket flight because it isaround this point that an unstable rocket tumbles.As a matter of fact, any object in flight tends totumble. Throw a stick, and it tumbles end over end.Throw a ball, and it spins in flight. The act ofspinning or tumbling is a way of becoming stabilizedin flight. A Frisbee will go where you want it to onlyif you throw it with a deliberate spin. Try throwing aFrisbee without spinning it. If you succeed, you willsee that the Frisbee flies in an erratic path and fallsfar short of its mark.

In flight, spinning or tumbling takes placearound one or more of three axes. They are calledroll, pitch, and yaw. The point where all three ofthese axes intersect is the center of mass. For

rocket flight, the pitch and yaw axes are the mostimportant because any movement in either of thesetwo directions can cause the rocket to go off course.The roll axis is the least important becausemovement along this axis will not affect the flightpath. In fact, a rolling motion will help stabilize the

ROLL

PITCH

YAW

Centerof

Pressure

Centerof

Mass

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rocket in the same way a properly passed football isstabilized by rolling (spiraling) it in flight. Although apoorly passed football may still fly to its mark even ifit tumbles rather than rolls, a rocket will not. Theaction-reaction energy of a football pass will becompletely expended by the thrower the momentthe ball leaves the hand. With rockets, thrust fromthe engine is still being produced while the rocket isin flight. Unstable motions about the pitch and yawaxes will cause the rocket to leave the plannedcourse. To prevent this, a control system is neededto prevent or at least minimize unstable motions.

In addition to center of mass, there isanother important center inside the rocket thataffects its flight. This is the center of pressure (CP).The center of pressure exists only when air isflowing past the moving rocket. This flowing air,rubbing and pushing against the outer surface of therocket, can cause it to begin moving around one ofits three axes. Think for a moment of a weathervane. A weather vane is an arrow-like stick that ismounted on a rooftop and used for telling winddirection. The arrow is attached to a vertical rodthat acts as a pivot point. The arrow is balanced sothat the center of mass is right at the pivot point.When the wind blows, the arrow turns, and the headof the arrow points into the oncoming wind. The tailof the arrow points in the downwind direction.

The reason that the weather vane arrowpoints into the wind is that the tail of the arrow has amuch larger surface area than the arrowhead. Theflowing air imparts a greater force to the tail than thehead, and therefore the tail is pushed away. Thereis a point on the arrow where the surface area is thesame on one side as the other. This spot is calledthe center of pressure. The center of pressure isnot in the same place as the center of mass. If itwere, then neither end of the arrow would befavored by the wind and the arrow would not point.The center of pressure is between the center ofmass and the tail end of the arrow. This means thatthe tail end has more surface area than the headend.

It is extremely important that the center ofpressure in a rocket be located toward the tail andthe center of mass be located toward the nose. Ifthey are in the same place or very near each other,then the rocket will be unstable in flight. The rocketwill then try to rotate about the center of mass in thepitch and yaw axes, producing a dangeroussituation. With the center of pressure located in theright place, the rocket will remain stable.

Control systems for rockets are intended tokeep a rocket stable in flight and to steer it. Small

rockets usually require only a stabilizing controlsystem. Large rockets, such as the ones thatlaunch satellites into orbit, require a system that notonly stabilizes the rocket, but also enable it tochange course while in flight.

Controls on rockets can either be active orpassive. Passive controls are fixed devices thatkeep rockets stabilized by their very presence onthe rocket’s exterior. Active controls can be movedwhile the rocket is in flight to stabilize and steer thecraft.

The simplest of all passive controls is astick. The Chinese fire-arrows were simple rocketsmounted on the ends of sticks. The stick kept thecenter of pressure behind the center of mass. Inspite of this, fire-arrows were notoriously inaccurate.Before the center of pressure could take effect, airhad to be flowing past the rocket. While still on theground and immobile, the arrow might lurch and firethe wrong way.

Years later, the accuracy of fire-arrows wasimproved considerably by mounting them in atrough aimed in the proper direction. The trough

Moveable Fins

Air

Str

eam

Air

Str

eam

Rocke

t

Chang

es

Directi

on

Rocket

Changes

Direction

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guided the arrow in the right direction until it wasmoving fast enough to be stable on its own.

As will be explained in the next section, theweight of the rocket is a critical factor inperformance and range. The fire-arrow stick addedtoo much dead weight to the rocket, and thereforelimited its range considerably.

An important improvement in rocketry camewith the replacement of sticks by clusters oflightweight fins mounted around the lower end nearthe nozzle. Fins could be made out of lightweightmaterials and be streamlined in shape. They gaverockets a dart-like appearance. The large surfacearea of the fins easily kept the center of pressurebehind the center of mass. Some experimenterseven bent the lower tips of the fins in a pinwheelfashion to promote rapid spinning in flight. Withthese “spin fins,” rockets become much more stablein flight. But this design also produces more dragand limits the rocket’s range.

With the start of modern rocketry in the 20thcentury, new ways were sought to improve rocketstability and at the same time reduce overall rocket

weight. The answer to this was the development ofactive controls. Active control systems includedvanes, movable fins, canards, gimbaled nozzles,vernier rockets, fuel injection, and attitude-controlrockets. Tilting fins and canards are quite similar toeach other in appearance. The only real differencebetween them is their location on the rockets.Canards are mounted on the front end of the rocketwhile the tilting fins are at the rear. In flight, the finsand canards tilt like rudders to deflect the air flowand cause the rocket to change course. Motionsensors on the rocket detect unplanned directionalchanges, and corrections can be made by slighttilting of the fins and canards. The advantage ofthese two devices is size and weight. They aresmaller and lighter and produce less drag than thelarge fins.

Other active control systems can eliminatefins and canards altogether. By tilting the angle atwhich the exhaust gas leaves the rocket engine,course changes can be made in flight. Severaltechniques can be used for changing exhaustdirection.

Vanes are small finlike devices that areplaced inside the exhaust of the rocket engine.Tilting the vanes deflects the exhaust, and byaction-reaction the rocket responds by pointing theopposite way.

Another method for changing the exhaustdirection is to gimbal the nozzle. A gimbaled nozzleis one that is able to sway while exhaust gases arepassing through it. By tilting the engine nozzle inthe proper direction, the rocket responds bychanging course.

Vernier rockets can also be used to changedirection. These are small rockets mounted on theoutside of the large engine. When needed they fire,producing the desired course change.

In space, only by spinning the rocket alongthe roll axis or by using active controls involving theengine exhaust can the rocket be stabilized or haveits direction changed. Without air, fins and canardshave nothing to work upon. (Science fiction moviesshowing rockets in space with wings and fins arelong on fiction and short on science.) Whilecoasting in space, the most common kinds of activecontrol used are attitude-control rockets. Smallclusters of engines are mounted all around thevehicle. By firing the right combination of thesesmall rockets, the vehicle can be turned in anydirection. As soon as they are aimed properly, themain engines fire, sending the rocket off in the newdirection.

Gimbaled Nozzle

Rocke

t

Chang

es

Directi

on

Rocket

Changes

Direction

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Mass

Mass is another important factor affectingthe performance of a rocket. The mass of a rocketcan make the difference between a successful flightand just wallowing around on the launch pad. As abasic principle of rocket flight, it can be said that fora rocket to leave the ground, the engine must producea thrust that is greater than the total mass of thevehicle. It is obvious that a rocket with a lot ofunnecessary mass will not be as efficient as one thatis trimmed to just the bare essentials.

For an ideal rocket, the total mass of thevehicle should be distributed following this generalformula:

Of the total mass, 91 percent should bepropellants; 3 percent should be tanks,engines, fins, etc.; and 6 percent can be thepayload.

Payloads may be satellites, astronauts, or spacecraftthat will travel to other planets or moons.

In determining the effectiveness of a rocket design, rocketeers speak in terms of mass fraction(MF). The mass of the propellants of the rocketdivided by the total mass of the rocket gives massfraction:

MF = masstotal

ofmass

propellants

The mass fraction of the ideal rocket givenabove is 0.91. From the mass fraction formula onemight think that an MF of 1.0 is perfect, but then theentire rocket would be nothing more than a lump ofpropellants that would simply ignite into a fireball. Thelarger the MF number, the less payload the rocket cancarry; the smaller the MF number, the less its rangebecomes. An MF number of 0.91 is a good balancebetween payload-carrying capability and range. TheSpace Shuttle has an MF of approximately 0.82. TheMF varies between the different orbiters in the SpaceShuttle fleet and with the different payload weights ofeach mission.

Large rockets, able to carry aspacecraft into space, have serious weightproblems. To reach space and properorbital velocities, a great deal of propellantis needed; therefore, the tanks, engines,and associated hardware become larger.Up to a point, bigger rockets can carrymore payload than smaller rockets, butwhen they become too large their struc-tures weigh them down too much, and themass fraction is reduced to an impossiblenumber. Saturn 5 rocket being transported to the launch pad.

A solution to the problem of giant rocketsweighing too much can be credited to the 16th-centuryfireworks maker Johann Schmidlap. Schmidlapattached small rockets to the top of big ones. Whenthe large rocket was exhausted, the rocket casing wasdropped behind and the remaining rocket fired. Muchhigher altitudes were achieved by this method. (TheSpace Shuttle follows the step rocket principle bydropping off its solid rocket boosters and external tankwhen they are exhausted of propellants.)

The rockets used by Schmidlap were calledstep rockets. Today this technique of building a rocketis called staging. Thanks to staging, it has becomepossible not only to reach outer space but the Moonand other planets too.

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Rocket Stability DeterminationA rocket that flies straight through the air is said to be a stable rocket. A rocket that veers offcourse or tumbles wildly is said to be an unstable rocket. The difference between the flight of astable and unstable rocket depends upon its design. All rockets have two distinct "centers."The first is the center of mass. This is a point about which the rocket balances. If you couldplace a ruler edge under this point, the rocket would balance horizontally like a seesaw. Whatthis means is that half of the mass of the rocket is on one side of the ruler edge and half is onthe other. Center of mass is important to a rocket's design because if a rocket is unstable, therocket will tumble about this center.

The other center in a rocket is the center of pressure. This is a point where half of the surfacearea of a rocket is on one side and half is on the other. The center of pressure differs fromcenter of mass in that its location is not affected by the placement of payloads in the rocket.This is just a point based on the surface of the rocket, not what is inside. During flight, thepressure of air rushing past the rocket will balance half on one side of this point and half on theother. You can determine the center of pressure by cutting out an exact silhouette of therocket from cardboard and balancing it on a ruler edge.

The positioning of the center of mass and the center of pressure on a rocket is critical to itsstability. The center of mass should be towards the rocket's nose and the center of pressureshould be towards the rocket's tail for the rocket to fly straight. That is because the lower endof the rocket (starting with the center of mass and going downward) has more surface areathan the upper end (starting with the center of mass and going upward). When the rocket flies,more air pressure exists on the lower end of the rocket than on the upper end. Air pressurewill keep the lower end down and the upper end up. If the center of mass and the center ofpressure are in the same place, neither end of the rocket will point upward. The rocket will beunstable and tumble.

4. Lay the cardboard silhouette you just cutout on the ruler and balance it.

5. Draw a straight lineacross the diagram ofyour rocket where theruler is. Mark themiddle of this line with adot. This is the centerof pressure of therocket.

Stability Determination Instructions

1. Tie a string loop around the middle of yourrocket. Tie a second string to the first sothat you can pick it up. Slide the stringloop to a position where the rocketbalances. You may have to temporarilytape the nose cone in place to keep it fromfalling off.

2. Draw a straight line across the scalediagram of the rocket you made earlier toshow where the ruler's position is. Markthe middle of the line with a dot. This isthe rocket's center of mass.

3. Lay your rocket on a piece of cardboard.Carefully trace the rocket on the cardboardand cut it out.

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If your center of mass is in front of the centerof pressure, your rocket should be stable.Proceed to the swing test. If the two centersare next to or on top of each other, add moreclay to the nosecone of the rocket. This willmove the center of mass forward. Repeatsteps 2 and 3 and then proceed to the swingtest.

Swing Test:

1. Tape the string loop you tied around yourrocket in the previous set of instructions sothat it does not slip.

2. While standing in an open place, slowlybegin swinging your rocket in a circle. Ifthe rocket points in the direction you areswinging it, the rocket is stable. If not, addmore clay to the rocket nose cone orreplace the rocket fins with larger ones.Repeat the stability determinationinstructions and then repeat the swing test.

Center of Mass

Center of Pressure

Scale Diagram

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Launch VehicleFamily Album

T he pictures on the next several pages serve as apartial "family album" of NASA launch vehicles.

NASA did not develop all of the vehicles shown, buthas employed each in its goal of "exploring theatmosphere and space for peaceful purposes forthe benefit of all." The album contains historicrockets, those in use today, and concept designsthat might be used in the future. They are arrangedin three groups: rockets for launching satellites andspace probes, rockets for launching humans intospace, and concepts for future vehicles.

The album tells the story of nearly 40 yearsof NASA space transportation. Rockets haveprobed the upper reaches of Earth's atmosphere,carried spacecraft into Earth orbit, and sentspacecraft out into the solar system and beyond.Initial rockets employed by NASA, such as theRedstone and the Atlas, began life asintercontinental ballistic missiles. NASA scientistsand engineers found them ideal for carryingmachine and human payloads into space. As theneed for greater payload capacity increased, NASAbegan altering designs for its own rockets andbuilding upper stages to use with existing rockets.Sending astronauts to the Moon required a biggerrocket than the rocket needed for carrying a smallsatellite to Earth orbit.

Today, NASA's only vehicle for liftingastronauts into space is the Space Shuttle.Designed to be reusable, its solid rocket boostershave parachute recovery systems. The orbiter is awinged spacecraft that glides back to Earth. Theexternal tank is the only part of the vehicle whichhas to be replaced for each mission.

Launch vehicles for the future will continueto build on the experiences of the past. Vehicleswill become more versatile and less expensive tooperate as new technologies become available.

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Most significant rocket developments have taken place in the twentieth century. After 1958, allentries in this timeline relate to NASA space missions. Provided here are the years in whichnew rocket systems were first flown. Additional information about these events can be found inthis guide on the pages indicated by parentheses.

Inven

tion

of

GunPow

der

1st C

entu

ry (5

)

Rocket Timeline

Chines

e

Fire A

rrows

13th

Cen

tury

(6)

Step

Rocke

t

16th

Centur

y (6)

Liquid Propellant Rocket - 1926 (8)

V2 Rocket - 1944 (9)

Jupite

r C la

unch of E

xplorer 1

- 1958 (9

, 10, 2

7)

Mercury

Redstone - 1

961 (10, 2

9)

Delta,

Scout

- 196

0 (27

)

Atlas -

1963

(10,

29)

Tita

n III

- 19

74 (2

8)Gemini

Tita

n - 1

965

(11,

28,

30)

Apol

lo S

atur

n V

- 196

8 (1

1, 3

1)

Apollo

Sat

urn

1B -

1968

(11,

30)

Skyl

ab S

atur

n V

- 197

3 (1

1, 3

1)

Apo

llo-S

opyu

z S

atur

n 1B

- 19

75 (1

1, 3

0)

Apol

lo S

atur

n 1B

- 19

68 (1

1, 3

0)S

pace

Shu

ttle

- 198

1 (1

2, 3

2)P

egas

us -

199

0 (2

8)D

elta

Clip

per -

199

5 (3

3)

X R

ocke

ts -

20?

? (3

4)

1900

2000

2000

+

Centuries1 0 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 0 2 11 2 3 4 5 6 7 8 9

Congr

eve R

ocke

ts

19th

Cen

tury

(7)

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Rockets for LaunchingSatellites and Space Probes

NASA's Scout rocket is a four-stage solidrocket booster that can launch small satellitesinto Earth orbit. The Scout can carry about a140 kilogram payload to a 185 kilometer highorbit. NASA used the Scout for more than 30years. This 1965 launch carried the Explorer27 scientific satellite.

One of NASA's most successful rockets is theDelta. The Delta can be configured in avariety of ways to change its performance tomeet needs of the mission. It is capable ofcarrying over 5,000 kilograms to a 185kilometer high orbit or 1,180 kilograms to ageosynchronous orbit with an attachedbooster stage. This Delta lifted the Galaxy-Ccommunication satellite to space onSeptember 21, 1984.

Engineers prepare the Jupiter-C rocketthat carried Explorer 1 into space onJanuary 31, 1958.

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The Pegasus air-launched spacebooster roars toward orbit following itsrelease from a NASA B-52 aircraft. Thebooster, built by Orbital SciencesCorporation and Hercules AerospaceCompany, is a low-cost way of carryingsmall satellites to Earth orbit. Thislaunch took place on April 5, 1990.

A Titan III Centaur rocket carried Voyager 1,the first interplanetary spacecraft to fly byboth Jupiter and Saturn, into space onSeptember 5, 1975. The Titan, a U.S. AirForce missile, combined with NASA'sCentaur upper stage and two additionalside-mounted boosters, provided theneeded thrust to launchVoyager.

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Allan Shepard became the first Americanastronaut to ride to space on May 5, 1961.Shepard rode inside a Mercury spacecapsule on top of a Redstone rocket.

An Atlas launch vehicle, with a Mercuryspace capsule at the top, underwent a staticfiring test to verify engine systems before itsactual launch. The Mercury/Atlascombination launched four Mercury orbitalmissions including the historic first Americanorbital flight of John Glenn.

Rockets for Sending AstronautsInto Space

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Virgil I. Grissom and John W. Young rode toorbit inside a Gemini spacecraft mounted atthe top of this Titan rocket. The spacecraftreached an orbit ranging from 161 to 225kilometers on March 23, 1965.

Used to lift Apollo spacecraft to Earth orbit,the nearly 70-meter-tall Saturn 1B rocketcarries the Apollo 7 crew on October 11,1968. Saturn 1B rockets also transportedcrews for Skylab (1973-74) and Apollo/Soyuz missions (1975).

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31Rockets: A Teacher's Guide with Activities in Science, Mathematics, and Technology EG-1999-06-108-HQ

The 111-meter-high Saturn 5 rocketcarried the Apollo 11 crew to theMoon.

Using a modified Saturn 5rocket, NASA sent the 90,600kilogram Skylab Space Stationto orbit on May 14, 1973. Thespace station replaced theSaturn 5's third stage.

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Today, NASA Astronauts launch into space onboard the Space Shuttle. The Shuttle consistsof a winged orbiter that climbs into space as a rocket, orbits Earth as a satellite, and lands on arunway as an airplane. Two recoverable solid rocket boosters provide additional thrust and anexpendable external tank carries the propellants for the orbiter's main engines. This was thelaunch of STS-53 on December 2, 1992.

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Concepts for Future Vehicles

The launch vehicles on this and the next page areideas for future reusable launch vehicles. Most arevariations of the winged Space Shuttle orbiter.

The Delta Clipper Experimental (DC-X) vehicle, originally developed forthe Department of Defense, lifts off at the White Sands Missile Range inNew Mexico. NASA has assumed the role of managing the vehicle'sfurther development. The DC-X lifts off and lands vertically. NASAhopes this vehicle could lead to a low-cost payload launching system.The Delta Clipper was recently renamed the "Clipper Graham" in honorof the late space pioneer Lt. General Daniel O. Graham.

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The X-34 is a reusable booster conceptthat could lead to larger vehicles in thefuture. This rocket would launch from acarrier aircraft to deliver a payload to orbit.

NASA has choosen this concept toreplace the Space Shuttle fleet inthe 21st centry. The X-33 will bea single-stage-to-orbit vehicle inwhich the entire vehicle lifts off intospace and returns to Earth intact.

Looking like a Space Shuttleorbiter, this new launcher conceptis also a single-stage-to-orbitvehicle.

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Glossary

Action - A force (push or pull) acting on anobject. See Reaction.

Active Controls - Devices on a rocket that moveto control the rocket's direction in flight.

Attitude Control Rockets - Small rockets thatare used as active controls to change theattitude (direction) a rocket or spacecraft isfacing in outer space.

Canards - Small movable fins located towardsthe nose cone of a rocket.

Case - The body of a solid propellant rocket thatholds the propellant.

Center of Mass (CM) - The point in an objectabout which the object's mass is centered.

Center of Pressure (CP) - The point in an objectabout which the object's surface area iscentered.

Chamber - A cavity inside a rocket where propel-lants burn.

Combustion Chamber - See Chamber.Drag - Friction forces in the atmosphere that

"drag" on a rocket to slow its flight.Escape Velocity - The velocity an object must

reach to escape the pull of Earth's gravity.Extravehicular Activity (EVA) - Spacewalking.Fins - Arrow-like wings at the lower end of a

rocket that stabilize the rocket in flight.Fuel - The chemical that combines with an

oxidizer to burn and produce thrust.Gimbaled Nozzles - Tiltable rocket nozzles used

for active controls.Igniter - A device that ignites a rocket's

engine(s).Injectors - Showerhead-like devices that spray

fuel and oxidizer into the combustionchamber of a liquid propellant rocket.

Insulation - A coating that protects the case andnozzle of a rocket from intense heat.

Liquid Propellant - Rocket propellants in liquidform.

Mass - The amount of matter contained within anobject.

Mass Fraction (MF) - The mass of propellants ina rocket divided by the rocket's total mass.

Microgravity - An environment that imparts to anobject a net acceleration that is smallcompared with that produced by Earth atits surface.

Motion - Movement of an object in relation toits surroundings.

Movable Fins - Rocket fins that can move tostabilize a rocket's flight.

Nose Cone - The cone-shaped front end of arocket.

Nozzle - A bell-shaped opening at the lowerend of a rocket through which a streamof hot gases is directed.

Oxidizer - A chemical containing oxygencompounds that permits rocket fuel toburn both in the atmosphere and in thevacuum of space.

Passive Controls - Stationary devices, suchas fixed rocket fins, that stabilize arocket in flight.

Payload - The cargo (scientific instruments,satellites, spacecraft, etc.) carried by arocket.

Propellant - A mixture of fuel and oxidizer thatburns to produce rocket thrust.

Pumps - Machinery that moves liquid fuel andoxidizer to the combustion chamber ofa rocket.

Reaction - A movement in the oppositedirection from the imposition of anaction. See Action.

Rest - The absence of movement of an objectin relation to its surroundings.

Regenerative Cooling - Using the low tem-perature of a liquid fuel to cool a rocketnozzle.

Solid Propellant - Rocket fuel and oxidizer insolid form.

Stages - Two or more rockets stacked on topof each other in order to reach higheraltitudes or have a greater payloadcapacity.

Throat - The narrow opening of a rocketnozzle.

Unbalanced Force - A force that is not coun-tered by another force in the oppositedirection.

Vernier Rockets - Small rockets that use theirthrust to help direct a larger rocket inflight.

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NASA Educational Materials

NASA publishes a variety of educational resourcessuitable for classroom use. The following resources,specifically relating to the topic of rocketry, areavailable from the NASA Teacher Resource CenterNetwork. Refer to the next pages for details on how toobtain these materials.

Liftoff to Learning Educational Video SeriesThat Relate to Rockets

Space BasicsLength: 20:55Recommended Level: Middle SchoolApplication: History, Physical ScienceSpace Basics explains space flight concepts such ashow we get into orbit and why we float when orbitingEarth. Includes a video resource guide.

Newton in SpaceLength: 12:37Recommended Level: Middle SchoolApplication: Physical ScienceNewton in Space demonstrates the difference betweenweight and mass and illustrates Isaac Newton's threelaws of motion in the microgravity environment ofEarth Orbit. Includes a video resource guide.

Other Videos

Videotapes are available about Mercury, Gemini,Apollo, and Space Shuttle projects and missions.Contact the Teacher Resource Center that serves yourregion for a list of available titles, or contact CORE(See page 109.).

Publications

McAleer, N. (1988), Space Shuttle - The RenewedPromise, National Aeronautics and SpaceAdministration, PAM-521, Washington, DC.

NASA (1991), Countdown! NASA Launch Vehiclesand Facilities, Information Summaries, NationalAeronautics and Space Administration, PMS-018-B,Kennedy Space Center, FL.

NASA (1991), A Decade On Board America's SpaceShuttle, National Aeronautics and SpaceAdministration, NP-150, Washington, DC.

NASA (1987), The Early Years: Mercury to Apollo-Soyuz, Information Summaries, NationalAeronautics and Space Administration, PMS-001-A,Kennedy Space Center, FL.

NASA (1991), Space Flight, The First 30 Years,National Aeronautics and Space Administration,NP-142, Washington, DC.

NASA (1992), Space Shuttle Mission Summary, TheFirst Decade: 1981-1990, Information Summaries,

National Aeronautics and Space Administration,PMS-038, Kennedy Space Center, FL.

Roland, A. (1985), A Spacefaring People:Perspectives on Early Spaceflight, NASA Scientificand Technical Information Branch, NASA SP-4405,Washington, DC.

Lithographs

HqL-367 Space Shuttle Columbia Returns fromSpace.

HqL-368 Space Shuttle Columbia Lifts Off Into Space.

Suggested Reading

These books can be used by children and adults tolearn more about rockets. Older books on the listprovide valuable historical information rockets andinformation about rockets in science fiction. Newerbooks provide up-to-date information about rocketscurrently in use or being planned.

Asimov, I. (1988), Rockets, Probes, and Satellites,Gareth Stevens, Milwaukee.

Barrett, N. (1990), The Picture World of Rockets andSatellites, Franklin Watts Inc., New York.

Bolognese, D. (1982), Drawing Spaceships and OtherSpacecraft, Franklin Watts, Inc., New York.

Branley, F. (1987), Rockets and Satellites, Thomas Y.Crowell, New York.

Butterfield, M. (1994), Look Inside Cross-SectionsSpace, Dorling Kindersley, London.

Donnelly, J. (1989), Moonwalk, The First Trip to theMoon, Random House, New York.

English, J. (1995), Transportation, Automobiles toZeppelins, A Scholastic Kid's Encyclopedia,Scholastic Inc., New York.

Fischel, E. & Ganeri, A. (1988), How To DrawSpacecraft, EDC Publishing, Tulsa, Oklahoma.

Furniss, T. (1988), Space Rocket, Gloucester, New York.Gatland, K. (1976), Rockets and Space Travel, Silver

Burdett, Morristown, New Jersey.Gatland, K. & Jeffris, D. (1977), Star Travel: Transport

and Technology Into The 21st Century, UsbornPublishers, London.

Gurney, G. & Gurney, C. (1975), The Launch ofSputnik, October 4, 1957: The Space Age Begins,Franklin Watts, Inc., New York.

Malone, R. (1977), Rocketship: An Incredible VoyageThrough Science Fiction and Science Fact, Harper& Row, New York.

Maurer, R. (1995), Rocket! How a Toy Launched theSpace Age, Crown Publishers, Inc., New York.

Mullane, R. M. (1995), Liftoff, An Astronaut's Dream,Silver Burdett Press, Parsippany, NJ.

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Neal, V., Lewis, C., & Winter, F. (1995), SmithsonianGuides, Spaceflight, Macmillan, New York. (Adultlevel reference)

Parsons, A. (1992), What's Inside? Spacecraft,Dorling Kindersley,m Inc., New York.

Ordway, F. & Leibermann, R. (1992), Blueprint ForSpace, Science Fiction To Science Fact,Smithsonian Instutition Press, Washington DC.

Quackenbush, R. (1978), The Boy Who Dreamed ofRockets: How Robert Goddard Became The Fatherof the Space Age, Parents Magazine Press,

New York.Ride, S. & Okie, S. (1986), To Space & Back, Lee &

Shepard Books, New York.Shayler, D. (1994), Inside/Outside Space, Random

House, New York.Shorto, R. (1992), How To Fly The Space Shuttle,

John Muir Publications, Santa Fe, NM.Vogt, G. (1987), An Album of Modern Spaceships,

Franklin Watts, Inc., New York.Vogt, G. (1989), Space Ships, Franklin Watts, Inc.,

New York.Winter, F. (1990), Rockets into Space, Harvard

University Press, Cambridge, Massachusetts. (Adultlevel reference)

Commercial SoftwarePhysics of Model RocketryFlight: Aerodynamics of Model RocketsIn Search of Space - Introduction to Model RocketryThe above programs are available for Apple II, Mac,

and IBM from Estes Industries, 1295 H. Street,Penrose, Colorado 81240

Electronic ResourcesThe following listing of Internet addresses will provideusers with links to educational materials throughout theWorld Wide Web (WWW) related to rocketry.

NASA ResourcesNASA SpaceLinkhttp://spacelink.msfc.nasa.gov

NASA Home Pagehttp://www.nasa.gov/

Space Shuttle Informationhttp://shuttle.nasa.gov/index-n.html