Arocket (fromItalian:rocchetto,lit.''bobbin/spool'', and so named for its shape)[nb 1][1] is an elongated flyingvehicle that uses arocket engine toaccelerate without using any surroundingair. A rocket engine produces thrust byreaction to exhaust expelled at high speed.[2] Unlikejet engines, rockets are fuelled entirely bypropellant which they carry, without the need for oxygen from air; consequently a rocket can fly in thevacuum of space. Rockets suffer deceleration byatmospheric drag in air, and operate more efficiently outside the atmosphere.
Chemical rockets are the most common type of high power rocket, typically creating a high speed exhaust by thecombustion offuel with anoxidizer. The stored propellant can be a simple pressurized gas or a singleliquid fuel that disassociates in the presence of a catalyst (monopropellant), two liquids that spontaneously react on contact (hypergolic propellants), two liquids that must be ignited to react (like kerosene (RP1) and liquid oxygen, used in mostliquid-propellant rockets), a solid combination of fuel with oxidizer (solid fuel), or solid fuel with liquid or gaseous oxidizer (hybrid propellant system). Chemical rockets store a large amount of energy in an easily released form, and the consequences of accidents can be severe.
The term "rocket" is also used for small fireworks, which are the subject of articlerocket (firework).
Rocket arrows depicted in theHuolongjing: "fire arrow", "dragon-shaped arrow frame", and a "complete fire arrow"
Gunpowder-powered rockets evolved in medieval China under theSong dynasty by the 13th century. They also developed an early form ofmultiple rocket launcher during this time. The Mongols adopted Chinese rocket technology and the invention spread via theMongol invasions to the Middle East and to Europe in the mid-13th century.[4] According to Joseph Needham, the Song navy used rockets in amilitary exercise dated to 1245. Internal-combustion rocket propulsion is mentioned in a reference to 1264, recording that the "ground-rat", a type offirework, had frightened the Empress-MotherGongsheng at a feast held in her honor by her son theEmperor Lizong.[5] Subsequently, rockets are included in the military treatiseHuolongjing, also known as the Fire Drake Manual, written by the Chinese artillery officerJiao Yu in the mid-14th century. This text mentions the first knownmultistage rocket, the'fire-dragon issuing from the water' (Huo long chu shui), thought to have been used by the Chinese navy.[6]
Medieval and early modern rockets were used militarily asincendiary weapons insieges. Between 1270 and 1280, Hasan al-Rammah wroteal-furusiyyah wa al-manasib al-harbiyya (The Book of Military Horsemanship and Ingenious War Devices), which included 107 gunpowder recipes, 22 of them for rockets.[7][8] In Europe,Roger Bacon mentioned firecrackers made in various parts of the world in theOpus Majus of 1267. Between 1280 and 1300, theLiber Ignium (Book of Fire) gave instructions for constructing devices that are similar to firecrackers based on second-hand accounts.[9]Konrad Kyeser described rockets in his military treatiseBellifortis around 1405.[10]Giovanni Fontana, aPaduan engineer in 1420, created rocket-propelled animal figures.[11][12]
The name "rocket" comes from theItalianrocchetta, meaning "bobbin" or "little spindle", given due to the similarity in shape to the bobbin or spool used to hold the thread from a spinning wheel.Leonhard Fronsperger andConrad Haas adopted the Italian term into German in the mid-16th century; "rocket" appears in English by the early 17th century.[1]Artis Magnae Artilleriae pars prima, an important early modern work onrocket artillery, byCasimir Siemienowicz, was first printed inAmsterdam in 1650.
TheMysorean rockets were the first successful iron-cased rockets, developed in the late 18th century in theKingdom of Mysore (part of present-day India) under the rule ofHyder Ali.[13]
TheCongreve rocket was a British weapon designed and developed bySir William Congreve in 1804. This rocket was based directly on the Mysorean rockets, used compressed powder and was fielded in theNapoleonic Wars. It was Congreve rockets to whichFrancis Scott Key was referring, when he wrote of the "rockets' red glare" while held captive on a British ship that was laying siege toFort McHenry in 1814.[14] Together, the Mysorean and British innovations increased the effective range of military rockets from 100 to 2,000 yards (91 to 1,829 m).
The first mathematical treatment of the dynamics of rocket propulsion is due toWilliam Moore (1813). In 1814, Congreve published a book in which he discussed the use of multiple rocket launching apparatus.[15][16] In 1815Alexander Dmitrievich Zasyadko constructed rocket-launching platforms, which allowed rockets to be fired insalvos (6 rockets at a time), and gun-laying devices.William Hale in 1844 greatly increased the accuracy of rocket artillery.Edward Mounier Boxer further improved the Congreve rocket in 1865.
William Leitch first proposed the concept of using rockets to enable human spaceflight in 1861. Leitch's rocket spaceflight description was first provided in his 1861 essay "A Journey Through Space". The essay was published in a journal in Edinburgh that year before being included in his bookGod's Glory in the Heavens (1862).[17][18]Konstantin Tsiolkovsky later (in 1903) also conceived this idea, and extensively developed a body of theory that has provided the foundation for subsequent spaceflight development.
The BritishRoyal Flying Corps designed a guided rocket duringWorld War I.Archibald Low stated "...in 1917 theExperimental Works designed an electrically steered rocket… Rocket experiments were conducted under my own patents with the help ofCdr. Brock."[19] The patent "Improvements in Rockets" was raised in July 1918 but not published until February 1923 for security reasons. Firing and guidance controls could be either wire or wireless. The propulsion and guidance rocket eflux emerged from the deflecting cowl at the nose.
Robert Goddard with a liquid oxygen-gasoline rocket (1926)
In 1929,Fritz Lang's German science fiction filmWoman in the Moon was released. It showcased the use of amulti-stage rocket, and also pioneered the concept of a rocketlaunch pad (a rocket standing upright against a tall building before launch having been slowly rolled into place) and the rocket-launchcountdown clock.[24][25]The Guardian film critic Stephen Armstrong states Lang "created the rocket industry".[24] Lang was inspired by the 1923 bookThe Rocket into Interplanetary Space by Hermann Oberth, who became the film's scientific adviser and later an important figure in the team that developed the V-2 rocket.[26] The film was thought to be so realistic that it was banned by the Nazis when they came to power for fear it would reveal secrets about the V-2 rockets.[27]
In 1943 production of theV-2 rocket began in Germany. It was designed by thePeenemünde Army Research Center withWernher von Braun serving as the technical director.[28] The V-2 became the first artificial object to travel into space by crossing theKármán line with the vertical launch ofMW 18014 on 20 June 1944.[29] Doug Millard, space historian and curator of space technology at theScience Museum, London, where a V-2 is exhibited in the main exhibition hall, states: "The V-2 was a quantum leap of technological change. We got to the Moon using V-2 technology but this was technology that was developed with massive resources, including some particularly grim ones. The V-2 programme was hugely expensive in terms of lives, with the Nazis using slave labour to manufacture these rockets".[30] In parallel with the Germanguided-missile programme, rockets were also used onaircraft, either for assisting horizontal take-off (RATO), vertical take-off (Bachem Ba 349 "Natter") or for powering them (Me 163, seelist of World War II guided missiles of Germany). The Allies' rocket programs were less technological, relying mostly on unguided missiles like the SovietKatyusha rocket in the artillery role, and the American anti tankbazooka projectile. These used solid chemical propellants.
The Americans captured a large number of Germanrocket scientists, including Wernher von Braun, in 1945, and brought them to the United States as part ofOperation Paperclip. After World War II scientists used rockets to study high-altitude conditions, by radiotelemetry of temperature and pressure of the atmosphere, detection ofcosmic rays, and further techniques; note too theBell X-1, the first crewed vehicle to break thesound barrier (1947). Independently, in theSoviet Union's space program research continued under theleadership of the chief designerSergei Korolev (1907–1966).
Rocket vehicles are often constructed in the archetypal tall thin "rocket" shape that takes off vertically, but there are actually many different types of rockets including:[31]
A rocket design can be as simple as a cardboard tube filled withblack powder, but to make an efficient, accurate rocket or missile involves overcoming a number of difficult problems. The main difficulties include cooling the combustion chamber, pumping the fuel (in the case of a liquid fuel), and controlling and correcting the direction of motion.[36]
Rocket engines employ the principle ofjet propulsion.[2] The rocket engines powering rockets come in a great variety of different types; a comprehensive list can be found in the main article,Rocket engine. Most current rockets are chemically powered rockets (usuallyinternal combustion engines,[38] but some employ a decomposingmonopropellant) that emit a hotexhaust gas. A rocket engine can use gas propellants,solid propellant,liquid propellant, or ahybrid mixture of both solid and liquid. Some rockets use heat or pressure that is supplied from a source other than thechemical reaction of propellant(s), such assteam rockets,solar thermal rockets,nuclear thermal rocket engines or simple pressurized rockets such aswater rocket orcold gas thrusters. With combustive propellants a chemical reaction is initiated between thefuel and theoxidizer in thecombustion chamber, and the resultant hot gases accelerate out of arocket engine nozzle (ornozzles) at the rearward-facing end of the rocket. Theacceleration of these gases through the engine exerts force ("thrust") on the combustion chamber and nozzle, propelling the vehicle (according toNewton's third law). This actually happens because the force (pressure times area) on the combustion chamber wall is unbalanced by the nozzle opening; this is not the case in any other direction. The shape of the nozzle also generates force by directing the exhaust gas along the axis of the rocket.[2]
Rocket propellant is mass that is stored, usually in some form ofpropellant tank or casing, prior to being used as the propulsive mass that is ejected from arocket engine in the form of afluidjet to producethrust.[2] For chemical rockets often the propellants are a fuel such asliquid hydrogen orkerosene burned with an oxidizer such asliquid oxygen ornitric acid to produce large volumes of very hot gas. The oxidiser is either kept separate and mixed in the combustion chamber, or comes premixed, as with solid rockets.
Sometimes the propellant is not burned but still undergoes a chemical reaction, and can be a 'monopropellant' such ashydrazine,nitrous oxide orhydrogen peroxide that can becatalytically decomposed to hot gas.
For smaller, low performance rockets such asattitude control thrusters where high performance is less necessary, a pressurised fluid is used as propellant that simply escapes the spacecraft through a propelling nozzle.[2]
Pendulum rocket fallacy
Illustration of the pendulum rocket fallacy. Whether the motor is mounted at the bottom (left) or top (right) of the vehicle, the thrust vector (T) points along an axis that is fixed to the vehicle (top), rather than pointing vertically (bottom) independent of vehicle attitude, which would lead the vehicle to rotate.
The firstliquid-fuel rocket, constructed byRobert H. Goddard, differed significantly from modern rockets. Therocket engine was at the top and the fuel tank at the bottom of the rocket,[39] based on Goddard's belief that the rocket would achieve stability by "hanging" from the engine like apendulum in flight.[40] However, the rocket veered off course and crashed 184 feet (56 m) away from thelaunch site,[41] indicating that the rocket was no more stable than one with the rocket engine at the base.[42]
Uses
Rockets or other similarreaction devices carrying their own propellant must be used when there is no other substance (land, water, or air) or force (gravity,magnetism,light) that avehicle may usefully employ for propulsion, such as in space. In these circumstances, it is necessary to carry all thepropellant to be used.
However, they are also useful in other situations:
Some military weapons use rockets to propelwarheads to their targets. A rocket and its payload together are generally referred to as amissile when the weapon has aguidance system (not all missiles use rocket engines, some use other engines such asjets) or as arocket if it is unguided. Anti-tank andanti-aircraft missiles use rocket engines to engage targets at high speed at a range of several miles, whileintercontinental ballistic missiles can be used to deliver multiplenuclear warheads from thousands of miles, andanti-ballistic missiles try to stop them. Rockets have also been tested forreconnaissance, such as thePing-Pong rocket, which was launched to surveil enemy targets, however, recon rockets have never come into wide use in the military.
Larger rockets are normally launched from alaunch pad that provides stable support until a few seconds after ignition. Due to their high exhaust velocity—2,500 to 4,500 m/s (9,000 to 16,200 km/h; 5,600 to 10,100 mph)—rockets are particularly useful when very high speeds are required, such as orbital speed at approximately 7,800 m/s (28,000 km/h; 17,000 mph). Spacecraft delivered into orbital trajectories becomeartificial satellites, which are used for many commercial purposes. Indeed, rockets remain the only way to launchspacecraft into orbit and beyond.[46] They are also used to rapidly accelerate spacecraft when they change orbits or de-orbit forlanding. Also, a rocket may be used to soften a hard parachute landing immediately before touchdown (seeretrorocket).
Rockets were used to propel a line to a stricken ship so that aBreeches buoy can be used torescue those on board. Rockets are also used to launchemergency flares.
Some crewed rockets, notably theSaturn V[47] andSoyuz,[48] havelaunch escape systems. This is a small, usually solid rocket that is capable of pulling the crewed capsule away from the main vehicle towards safety at a moments notice. These types of systems have been operated several times, both in testing and in flight, and operated correctly each time.
This was the case when theSafety Assurance System (Soviet nomenclature) successfully pulled away the L3 capsule during three of the four failed launches of the Soviet Moon rocket,N1 vehicles3L, 5L and 7L. In all three cases the capsule, albeit uncrewed, was saved from destruction. Only the three aforementioned N1 rockets had functional Safety Assurance Systems. The outstanding vehicle,6L, had dummy upper stages and therefore no escape system giving the N1 booster a 100% success rate for egress from a failed launch.[49][50][51][52]
A model rocket is a small rocket designed to reach low altitudes (e.g., 100–500 m (330–1,640 ft) for 30 g (1.1 oz) model) andbe recovered by a variety of means.
According to the United StatesNational Association of Rocketry (nar) Safety Code,[55] model rockets are constructed of paper, wood, plastic and other lightweight materials. The code also provides guidelines for motor use, launch site selection, launch methods, launcher placement, recovery system design and deployment and more. Since the early 1960s, a copy of the Model Rocket Safety Code has been provided with most model rocket kits and motors. Despite its inherent association with extremely flammable substances and objects with a pointed tip traveling at high speeds, model rocketry historically has proven[56][57] to be a very safe hobby and has been credited as a significant source of inspiration for children who eventually becomescientists andengineers.[58]
Hobbyists build and fly a wide variety of model rockets. Many companies produce model rocket kits and parts but due to their inherent simplicity some hobbyists have been known to make rockets out of almost anything. Rockets are also used in some types of consumer and professionalfireworks. Awater rocket is a type of model rocket using water as its reaction mass. The pressure vessel (the engine of the rocket) is usually a used plastic soft drink bottle. The water is forced out by a pressurized gas, typically compressed air. It is an example of Newton's third law of motion.
The scale of amateur rocketry can range from a small rocket launched in one's own backyard to a rocket that reached space.[59] Amateur rocketry is split into three categories according to total engineimpulse: low-power, mid-power, andhigh-power.
Launches fororbital spaceflights, or intointerplanetary space, are usually from a fixed location on the ground, but would also be possible from an aircraft or ship.
Orbitallaunch vehicles commonly take off vertically, and then begin to progressively lean over, usually following agravity turn trajectory.
Once above the majority of the atmosphere, the vehicle then angles the rocket jet, pointing it largely horizontally but somewhat downwards, which permits the vehicle to gain and then maintain altitude while increasing horizontal speed. As the speed grows, the vehicle will become more and more horizontal until at orbital speed, the engine will cut off.
All current vehiclesstage, that is, jettison hardware on the way to orbit. Althoughvehicles have been proposed which would be able to reach orbit without staging, none have ever been constructed, and, if powered only by rockets, theexponentially increasing fuel requirements of such a vehicle would make its useful payload tiny or nonexistent. Most current and historical launch vehicles "expend" their jettisoned hardware, typically by allowing it to crash into the ocean, but some have recovered and reused jettisoned hardware, either by parachute or by propulsive landing.
Doglegged flight path of a PSLV launch to polar inclinations avoidingSri Lankan landmass
When launching a spacecraft to orbit, a "dogleg" is a guided, powered turn during ascent phase that causes a rocket's flight path to deviate from a "straight" path. A dogleg is necessary if the desired launch azimuth, to reach a desired orbital inclination, would take theground track over land (or over a populated area, e.g. Russia usually does launch over land, but over unpopulated areas), or if the rocket is trying to reach an orbital plane that does not reach thelatitude of the launch site. Doglegs are undesirable due to extra onboard fuel required, causing heavier load, and a reduction of vehicle performance.[65][66]
Noise
Workers and media witness the Sound Suppression Water System test atLaunch Pad 39A
Rocket exhaust generates a significant amount of acoustic energy. As thesupersonic exhaust collides with the ambient air,shock waves are formed. Thesound intensity from these shock waves depends on the size of the rocket as well as the exhaust velocity. The sound intensity of large, high performance rockets could potentially kill at close range.[67]
TheSpace Shuttle generated 180 dB of noise around its base.[68] To combat this, NASA developed a sound suppression system which can flow water at rates up to 900,000 gallons per minute (57 m3/s) onto the launch pad. The water reduces the noise level from 180 dB down to 142 dB (the design requirement is 145 dB).[69] Without the sound suppression system, acoustic waves would reflect off of the launch pad towards the rocket, vibrating the sensitive payload and crew. These acoustic waves can be so severe as to damage or destroy the rocket.
Noise is generally most intense when a rocket is close to the ground, since the noise from the engines radiates up away from the jet, as well as reflecting off the ground. This noise can be reduced somewhat by flame trenches with roofs, by water injection around the jet and by deflecting the jet at an angle.[67]
For crewed rockets various methods are used to reduce the sound intensity for the passengers, and typically the placement of the astronauts far away from the rocket engines helps significantly. For the passengers and crew, when a vehicle goessupersonic the sound cuts off as the sound waves are no longer able to keep up with the vehicle.[67]
A balloon with a tapering nozzle. The balloon is pushed by the higher pressure at the top than found around the inside of the nozzle.
Theeffect of the combustion of propellant in the rocket engine is to increase the internal energy of the resulting gases, utilizing the stored chemical energy in the fuel.[citation needed] As the internal energy increases, pressure increases, and a nozzle is used to convert this energy into a directed kinetic energy. This produces thrust against the ambient environment to which these gases are released.[citation needed] The ideal direction of motion of the exhaust is in the direction so as to cause thrust. At the top end of the combustion chamber the hot, energetic gas fluid cannot move forward, and so, it pushes upward against the top of the rocket engine'scombustion chamber. As the combustion gases approach the exit of the combustion chamber, they increase in speed. The effect of theconvergent part of the rocket engine nozzle on the high pressure fluid of combustion gases, is to cause the gases to accelerate to high speed. The higher the speed of the gases, the lower the pressure of the gas (Bernoulli's principle orconservation of energy) acting on that part of the combustion chamber. In a properly designed engine, the flow will reach Mach 1 at the throat of the nozzle. At which point the speed of the flow increases. Beyond the throat of the nozzle, a bell shaped expansion part of the engine allows the gases that are expanding to push against that part of the rocket engine. Thus, the bell part of the nozzle gives additional thrust. Simply expressed, for every action there is an equal and opposite reaction, according toNewton's third law with the result that the exiting gases produce the reaction of a force on the rocket causing it to accelerate the rocket.[70][nb 2]
Rocket thrust is caused by pressures acting on both the combustion chamber and nozzle
In a closed chamber, the pressures are equal in each direction and no acceleration occurs. If an opening is provided in the bottom of the chamber then the pressure is no longer acting on the missing section. This opening permits the exhaust to escape. The remaining pressures give a resultant thrust on the side opposite the opening, and these pressures are what push the rocket along.
The shape of the nozzle is important. Consider a balloon propelled by air coming out of a tapering nozzle. In such a case the combination of air pressure and viscous friction is such that the nozzle does not push the balloon but ispulled by it.[72] Using a convergent/divergent nozzle gives more force since the exhaust also presses on it as it expands outwards, roughly doubling the total force. If propellant gas is continuously added to the chamber then these pressures can be maintained for as long as propellant remains. Note that in the case of liquid propellant engines, the pumps moving the propellant into the combustion chamber must maintain a pressure larger than the combustion chamber—typically on the order of 100 atmospheres.[2]
As a side effect, these pressures on the rocket also act on the exhaust in the opposite direction and accelerate this exhaust to very high speeds (according toNewton's third law).[2] From the principle ofconservation of momentum the speed of the exhaust of a rocket determines how much momentum increase is created for a given amount of propellant. This is called the rocket'sspecific impulse.[2] Because a rocket, propellant and exhaust in flight, without any external perturbations, may be considered as a closed system, the total momentum is always constant. Therefore, the faster the net speed of the exhaust in one direction, the greater the speed of the rocket can achieve in the opposite direction. This is especially true since the rocket body's mass is typically far lower than the final total exhaust mass.
Forces on a rocket in flight
Forces on a rocket in flight
The general study of theforces on a rocket is part of the field ofballistics. Spacecraft are further studied in the subfield ofastrodynamics.
Flying rockets are primarily affected by the following:[73]
In addition, theinertia and centrifugal pseudo-force can be significant due to the path of the rocket around the center of a celestial body; when high enough speeds in the right direction and altitude are achieved a stableorbit orescape velocity is obtained.
These forces, with a stabilizing tail (theempennage) present will, unless deliberate control efforts are made, naturally cause the vehicle to follow a roughlyparabolic trajectory termed agravity turn, and this trajectory is often used at least during the initial part of a launch. (This is true even if the rocket engine is mounted at the nose.) Vehicles can thus maintain low or even zeroangle of attack, which minimizes transversestress on thelaunch vehicle, permitting a weaker, and hence lighter, launch vehicle.[74][75]
Drag is a force opposite to the direction of the rocket's motion relative to any air it is moving through. This slows the speed of the vehicle and produces structural loads. The deceleration forces for fast-moving rockets are calculated using thedrag equation.
Drag can be minimised by an aerodynamicnose cone and by using a shape with a highballistic coefficient (the "classic" rocket shape—long and thin), and by keeping the rocket'sangle of attack as low as possible.
During a launch, as the vehicle speed increases, and the atmosphere thins, there is a point of maximum aerodynamic drag calledmax Q. This determines the minimum aerodynamic strength of the vehicle, as the rocket must avoidbuckling under these forces.[76]
Net thrust
For a more detailed model of the net thrust of a rocket engine that includes the effect of atmospheric pressure, seeRocket engine § Net thrust.
A rocket jet shape varies based on external air pressure. From top to bottom:
Underexpanded
Ideally expanded
Overexpanded
Grossly overexpanded
A typical rocket engine can handle a significant fraction of its own mass in propellant each second, with the propellant leaving the nozzle at several kilometres per second. This means that thethrust-to-weight ratio of a rocket engine, and often the entire vehicle can be very high, in extreme cases over 100. This compares with other jet propulsion engines that can exceed 5 for some of the better[77] engines.[78]
The effective exhaust velocity is more or less the speed the exhaust leaves the vehicle, and in the vacuum of space, the effective exhaust velocity is often equal to the actual average exhaust speed along the thrust axis. However, the effective exhaust velocity allows for various losses, and notably, is reduced when operated within an atmosphere.
The rate of propellant flow through a rocket engine is often deliberately varied over a flight, to provide a way to control the thrust and thus the airspeed of the vehicle. This, for example, allows minimization of aerodynamic losses[76] and can limit the increase ofg-forces due to the reduction in propellant load.
Impulse is defined as a force acting on an object over time, which in the absence of opposing forces (gravity and aerodynamic drag), changes themomentum (integral of mass and velocity) of the object. As such, it is the best performance class (payload mass and terminal velocity capability) indicator of a rocket, rather than takeoff thrust, mass, or "power". The total impulse of a rocket (stage) burning its propellant is:[2]: 27
When there is fixed thrust, this is simply:
The total impulse of a multi-stage rocket is the sum of the impulses of the individual stages.
As can be seen from the thrust equation, the effective speed of the exhaust controls the amount of thrust produced from a particular quantity of fuel burnt per second.
An equivalent measure, the net impulse per weight unit of propellant expelled, is calledspecific Impulse,, and this is one of the most important figures that describes a rocket's performance. It is defined such that it is related to the effective exhaust velocity by:
Thus, the greater the specific impulse, the greater the net thrust and performance of the engine. is determined by measurement while testing the engine. In practice the effective exhaust velocities of rockets varies but can be extremely high, ~4500 m/s, about 15 times the sea level speed of sound in air.
A map of approximateDelta-v's around the Solar System between Earth andMars[80][81]
Thedelta-v capacity of a rocket is the theoretical total change in velocity that a rocket can achieve without any external interference (without air drag or gravity or other forces).
is the initial total mass, including propellant, in kg (or lb)
is the final total mass in kg (or lb)
is the effective exhaust velocity in m/s (or ft/s)
is the delta-v in m/s (or ft/s)
When launched from the Earth practical delta-vs for a single rockets carrying payloads can be a few km/s. Some theoretical designs have rockets with delta-vs over 9 km/s.
The required delta-v can also be calculated for a particular manoeuvre; for example the delta-v to launch from the surface of the Earth tolow Earth orbit is about 9.7 km/s, which leaves the vehicle with a sideways speed of about 7.8 km/s at an altitude of around 200 km. In this manoeuvre about 1.9 km/s is lost inair drag,gravity drag andgaining altitude.
The Tsiolkovsky rocket equation gives a relationship between the mass ratio and the final velocity in multiples of the exhaust speed
Almost all of a launch vehicle's mass consists of propellant.[83] Mass ratio is, for any 'burn', the ratio between the rocket's initial mass and its final mass.[84] Everything else being equal, a high mass ratio is desirable for good performance, since it indicates that the rocket is lightweight and hence performs better, for essentially the same reasons that low weight is desirable in sports cars.
Rockets as a group have the highestthrust-to-weight ratio of any type of engine; and this helps vehicles achieve highmass ratios, which improves the performance of flights. The higher the ratio, the less engine mass is needed to be carried. This permits the carrying of even more propellant, enormously improving the delta-v. Alternatively, some rockets such as for rescue scenarios or racing carry relatively little propellant and payload and thus need only a lightweight structure and instead achieve high accelerations. For example, the Soyuz escape system can produce 20 g.[48]
Achievable mass ratios are highly dependent on many factors such as propellant type, the design of engine the vehicle uses, structural safety margins and construction techniques.
The highest mass ratios are generally achieved with liquid rockets, and these types are usually used fororbital launch vehicles, a situation which calls for a high delta-v. Liquid propellants generally have densities similar to water (with the notable exceptions ofliquid hydrogen andliquid methane), and these types are able to use lightweight, low pressure tanks and typically run high-performanceturbopumps to force the propellant into the combustion chamber.
Some notable mass fractions are found in the following table (some aircraft are included for comparison purposes):
Spacecraft staging involves dropping off unnecessary parts of the rocket to reduce massApollo 6 while dropping the interstage ring
Thus far, the required velocity (delta-v) to achieve orbit has been unattained by any single rocket because thepropellant, tankage, structure,guidance, valves and engines and so on, take a particular minimum percentage of take-off mass that is too great for the propellant it carries to achieve that delta-v carrying reasonable payloads. SinceSingle-stage-to-orbit has so far not been achievable, orbital rockets always have more than one stage.
For example, the first stage of the Saturn V, carrying the weight of the upper stages, was able to achieve amass ratio of about 10, and achieved a specific impulse of 263 seconds. This gives a delta-v of around 5.9 km/s whereas around 9.4 km/s delta-v is needed to achieve orbit with all losses allowed for.
This problem is frequently solved bystaging—the rocket sheds excess weight (usually empty tankage and associated engines) during launch. Staging is eitherserial where the rockets light after the previous stage has fallen away, orparallel, where rockets are burning together and then detach when they burn out.[90]
The maximum speeds that can be achieved with staging is theoretically limited only by the speed of light. However the payload that can be carried goes down geometrically with each extra stage needed, while the additional delta-v for each stage is simply additive.
From Newton's second law, the acceleration,, of a vehicle is simply:
wherem is the instantaneous mass of the vehicle and is the net force acting on the rocket (mostly thrust, but air drag and other forces can play a part).
As the remaining propellant decreases, rocket vehicles become lighter and their acceleration tends to increase until the propellant is exhausted. This means that much of the speed change occurs towards the end of the burn when the vehicle is much lighter.[2] However, the thrust can be throttled to offset or vary this if needed. Discontinuities in acceleration also occur when stages burn out, often starting at a lower acceleration with each new stage firing.
Peak accelerations can be increased by designing the vehicle with a reduced mass, usually achieved by a reduction in the fuel load and tankage and associated structures, but obviously this reduces range, delta-v and burn time. Still, for some applications that rockets are used for, a high peak acceleration applied for just a short time is highly desirable.
The minimal mass of vehicle consists of a rocket engine with minimal fuel and structure to carry it. In that case thethrust-to-weight ratio[nb 3] of the rocket engine limits the maximum acceleration that can be designed. It turns out that rocket engines generally have truly excellent thrust to weight ratios (137 for theNK-33 engine;[91] some solid rockets are over 1000[2]: 442 ), and nearly all reallyhigh-g vehicles employ or have employed rockets.
The high accelerations that rockets naturally possess means that rocket vehicles are often capable ofvertical takeoff, and in some cases, with suitable guidance and control of the engines, alsovertical landing. For these operations to be done it is necessary for a vehicle's engines to provide more than the localgravitational acceleration.
The energy density of a typical rocket propellant is often around one-third that of conventional hydrocarbon fuels; the bulk of the mass is (often relatively inexpensive) oxidizer. Nevertheless, at take-off the rocket has a great deal of energy in the fuel and oxidizer stored within the vehicle. It is of course desirable that as much of the energy of the propellant end up askinetic orpotential energy of the body of the rocket as possible.
Energy from the fuel is lost in air drag andgravity drag and is used for the rocket to gain altitude and speed. However, much of the lost energy ends up in the exhaust.[2]: 37–38
In a chemical propulsion device, the engine efficiency is simply the ratio of the kinetic power of the exhaust gases and the power available from the chemical reaction:[2]: 37–38
100% efficiency within the engine (engine efficiency) would mean that all the heat energy of the combustion products is converted into kinetic energy of the jet. This is not possible, but the near-adiabatichigh expansion ratio nozzles that can be used with rockets come surprisingly close: when the nozzle expands the gas, the gas is cooled and accelerated, and an energy efficiency of up to 70% can be achieved. Most of the rest is heat energy in the exhaust that is not recovered.[2]: 37–38 The high efficiency is a consequence of the fact that rocket combustion can be performed at very high temperatures and the gas is finally released at much lower temperatures, and so giving goodCarnot efficiency.
However, engine efficiency is not the whole story. In common with the otherjet-based engines, but particularly in rockets due to their high and typically fixed exhaust speeds, rocket vehicles are extremely inefficient at low speeds irrespective of the engine efficiency. The problem is that at low speeds, the exhaust carries away a huge amount ofkinetic energy rearward. This phenomenon is termedpropulsive efficiency ().[2]: 37–38
However, as speeds rise, the resultant exhaust speed goes down, and the overall vehicle energetic efficiency rises, reaching a peak of around 100% of the engine efficiency when the vehicle is travelling exactly at the same speed that the exhaust is emitted. In this case the exhaust would ideally stop dead in space behind the moving vehicle, taking away zero energy, and from conservation of energy, all the energy would end up in the vehicle. The efficiency then drops off again at even higher speeds as the exhaust ends up traveling forwards – trailing behind the vehicle.
Plot of instantaneous propulsive efficiency (blue) and overall efficiency for a rocket accelerating from rest (red) as percentages of the engine efficiency
From these principles it can be shown that the propulsive efficiency for a rocket moving at speed with an exhaust velocity is:
And the overall (instantaneous) energy efficiency is:
For example, from the equation, with an of 0.7, a rocket flying at Mach 0.85 (which most aircraft cruise at) with an exhaust velocity of Mach 10, would have a predicted overall energy efficiency of 5.9%, whereas a conventional, modern, air-breathing jet engine achieves closer to 35% efficiency. Thus a rocket would need about 6× more energy; and allowing for the specific energy of rocket propellant being around one third that of conventional air fuel, roughly 18× more mass of propellant would need to be carried for the same journey. This is why rockets are rarely if ever used for general aviation.
Since the energy ultimately comes from fuel, these considerations mean that rockets are mainly useful when a very high speed is required, such asICBMs ororbital launch. For example,NASA'sSpace Shuttle fired its engines for around 8.5 minutes, consuming 1,000 tonnes of solid propellant (containing 16% aluminium) and an additional 2,000,000 litres of liquid propellant (106,261 kg ofliquid hydrogen fuel) to lift the 100,000 kg vehicle (including the 25,000 kg payload) to an altitude of 111 km and an orbitalvelocity of 30,000 km/h. At this altitude and velocity, the vehicle had a kinetic energy of about 3 TJ and a potential energy of roughly 200 GJ. Given the initial energy of 20 TJ,[nb 4] the Space Shuttle was about 16% energy efficient at launching the orbiter.
Thus jet engines, with a better match between speed and jet exhaust speed (such asturbofans—in spite of their worse)—dominate for subsonic and supersonic atmospheric use, while rockets work best at hypersonic speeds. On the other hand, rockets serve in many short-rangerelatively low speed military applications where their low-speed inefficiency is outweighed by their extremely high thrust and hence high accelerations.
One subtle feature of rockets relates to energy. A rocket stage, while carrying a given load, is capable of giving a particulardelta-v. This delta-v means that the speed increases (or decreases) by a particular amount, independent of the initial speed. However, becausekinetic energy is a square law on speed, this means that the faster the rocket is travelling before the burn the moreorbital energy it gains or loses.
This fact is used in interplanetary travel. It means that the amount of delta-v to reach other planets, over and above that to reach escape velocity can be much less if the delta-v is applied when the rocket is travelling at high speeds, close to the Earth or other planetary surface; whereas waiting until the rocket has slowed at altitude multiplies up the effort required to achieve the desired trajectory.
Space ShuttleChallenger torn apart T+73 seconds after hot gases escaped theSRBs, causing the breakup of the Shuttle stack
The reliability of rockets, as for all physical systems, is dependent on the quality of engineering design and construction.
Because of the enormous chemical energy inrocket propellants (greater energy by weight than explosives, but lower thangasoline), consequences of accidents can be severe. Most space missions have some problems;[92] for example, a cabin fire during a launch rehearsal of the 1967Apollo I spacecraft killed all three crew members.[93] In 1986, following theSpace ShuttleChallenger disaster, American physicistRichard Feynman, having served on theRogers Commission, estimated that the chance of an unsafe condition for a launch of the Shuttle was very roughly 1%;[94] more recently the historical per person-flight risk in orbital spaceflight has been calculated to be around 2%[95] or 4%.[96]In May 2003 the astronaut office made clear its position on the need and feasibility of improving crew safety for future NASA crewed missions indicating their "consensus that an order of magnitude reduction in the risk of human life during ascent, compared to theSpace Shuttle, is both achievable with current technology and consistent with NASA's focus on steadily improving rocket reliability".[97]
Costs and economics
The costs of rockets can be roughly divided into propellant costs, the costs of obtaining and/or producing the 'dry mass' of the rocket, and the costs of any required support equipment and facilities.[98]
Most of the takeoff mass of a rocket is normally propellant. However propellant is seldom more than a few times more expensive than gasoline per kilogram (as of 2009 gasoline was about $1/kg [$0.45/lb] or less), and although substantial amounts are needed, for all but the very cheapest rockets, it turns out that the propellant costs are usually comparatively small, although not completely negligible.[98] With liquid oxygen costing $0.15 per kilogram ($0.068/lb) and liquid hydrogen $2.20/kg ($1.00/lb), theSpace Shuttle in 2009 had a liquid propellant expense of approximately $1.4 million for each launch that cost $450 million from other expenses (with 40% of the mass of propellants used by it being liquids in theexternal fuel tank, 60% solids in theSRBs).[99][100][101]
Even though a rocket's non-propellant, dry mass is often only between 5–20% of total mass,[102] nevertheless this cost dominates. For hardware with the performance used in orbitallaunch vehicles, expenses of $2000–$10,000+ per kilogram ofdry weight are common, primarily from engineering, fabrication, and testing; raw materials amount to typically around 2% of total expense.[103][104] For most rockets except reusable ones (shuttle engines) the engines need not function more than a few minutes, which simplifies design.
Extreme performance requirements for rockets reaching orbit correlate with high cost, including intensive quality control to ensure reliability despite the limitedsafety factors allowable for weight reasons.[104] Components produced in small numbers if not individually machined can prevent amortization of R&D and facility costs over mass production to the degree seen in more pedestrian manufacturing.[104] Amongst liquid-fueled rockets, complexity can be influenced by how much hardware must be lightweight, like pressure-fed engines can have two orders of magnitude lesser part count than pump-fed engines but lead to more weight by needing greater tank pressure, most often used in just small maneuvering thrusters as a consequence.[104]
To change the preceding factors for orbital launch vehicles, proposed methods have included mass-producing simple rockets in large quantities or on large scale,[98] or developingreusable rockets meant to fly very frequently to amortize their up-front expense over many payloads, or reducing rocket performance requirements by constructing anon-rocket spacelaunch system for part of the velocity to orbit (or all of it but with most methods involving some rocket use).
The costs of support equipment, range costs and launch pads generally scale up with the size of the rocket, but vary less with launch rate, and so may be considered to be approximately a fixed cost.[98]
Rockets in applications other than launch to orbit (such as military rockets androcket-assisted take off), commonly not needing comparable performance and sometimes mass-produced, are often relatively inexpensive.
Rocket mail – Mail delivery by rockets or missiles
Notes
^Englishrocket, first attested in 1566 (OED), adopted from the Italian term, given due to the similarity in shape to the bobbin or spool used to hold the thread from a spinning wheel. The modern Italian term israzzo.
^"If you have ever seen a big fire hose spraying water, you may have noticed that it takes a lot of strength to hold the hose (sometimes you will see two or three firefighters holding the hose). The hose is acting like a rocket engine. The hose is throwing water in one direction, and the firefighters are using their strength and weight to counteract the reaction. If they were to let go of the hose, it would thrash around with tremendous force. If the firefighters were all standing on skateboards, the hose would propel them backward at great speed!"[71]
^"thrust-to-weight ratioF/Wg is a dimensionless parameter that is identical to the acceleration of the rocket propulsion system (expressed in multiples ofg0) ... in a gravity-free vacuum"[2]: 442
^The energy density is 31MJ per kg for aluminum and 143 MJ/kg for liquid hydrogen, this means that the vehicle consumed around 5 TJ of solid propellant and 15 TJ of hydrogen fuel.
^"A brief history of rocketry".NASA Spacelink. Archived fromthe original on 2006-08-05. Retrieved2006-08-19.Rockets appear in Arab literature in 1258 A.D., describing Mongol invaders' use of them on February 15 to capture the city of Baghdad
^Crosby, Alfred W. (2002).Throwing Fire: Projectile Technology Through History. Cambridge: Cambridge University Press. pp. 100–103.ISBN978-0-521-79158-8.
^Battisti, Eugenio; Saccaro Del Buffa Battisti, Giuseppa; Fontana, Giovanni (1984).Le macchine cifrate di Giovanni Fontana: con la riproduzione del Cod. icon. 242 della Bayerische Staatsbibliothek di Monaco di Baviera e la decrittazione di esso e del Cod. lat. nouv. acq. 635 della Bibliothèque nationale di Parigi. Milano: Arcadia Edizioni.ISBN978-88-85684-06-5.
^Weide, Robert (Summer 2012)."The Outer Limits".DGA Quarterly. Los Angeles, California: Directors Guild of America, Inc.:64–71. A gallery of behind-the-scenes shots of movies featuring space travel or aliens. Page 68, photo caption: "Directed by Fritz Lang (third from right), the silent film "Woman in the Moon" (1929) is considered one of the first serious science fiction films and invented the countdown before the launch of a rocket. Many of the basics of space travel were presented to a mass audience for the first time."
^Polmar, Norman; Moore, Kenneth J. (2004).Cold War submarines : the design and construction of U.S. and Soviet submarines. Washington, DC: Brassey's. p. 304.ISBN978-1-57488-594-1.
^III, compiled by A.D. Baker (2000).The Naval Institute guide to combat fleets of the world 2000–2001 : their ships, aircraft, and systems. Annapolis, MD: Naval Institute Press. p. 581.ISBN978-1-55750-197-4.
^Sutton, George P. (2006).History of Liquid Propellant Rocket Engines. Reston, Virginia: American Institute of Aeronautics and Astronautics. pp. 267, 269.
^Belfiore, Michael (2013-12-09)."The Rocketeer".Foreign Policy. Archived fromthe original on 2013-12-10. Retrieved2013-12-11.
^Pasztor, Andy (2015-09-17)."U.S. Rocket Supplier Looks to Break 'Short Leash'".The Wall Street Journal. Retrieved2015-10-14.The aerospace giants [Boeing Co. and Lockheed Martin Corp.] shared almost $500 million in equity profits from the rocket-making venture last year, when it still had a monopoly on the business of blasting the Pentagon's most important satellites into orbit. But since then, 'They've had us on a very short leash,' Tory Bruno, United Launch's chief executive, said.
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