
A single-stage-to-orbit (SSTO) vehicle reaches
orbit
In celestial mechanics, an orbit (also known as orbital revolution) is the curved trajectory of an object such as the trajectory of a planet around a star, or of a natural satellite around a planet, or of an artificial satellite around an ...
from the surface of a body using only propellants and fluids and without expending tanks, engines, or other major hardware. The term usually, but not exclusively refers to
reusable vehicles.
To date, no Earth-launched SSTO launch vehicles have ever been flown; orbital launches from Earth have been performed by
multi-stage rockets, either fully or partially
expendable.
The main projected advantage of the SSTO concept is elimination of the hardware replacement inherent in expendable launch systems. However, the non-recurring costs associated with design, development, research and engineering (DDR&E) of reusable SSTO systems are much higher than expendable systems due to the substantial technical challenges of SSTO, assuming that those technical issues can in fact be solved. SSTO vehicles may also require a significantly higher degree of regular maintenance.
It is considered to be marginally possible to launch a single-stage-to-orbit
chemically fueled spacecraft from Earth. The principal complicating factors for SSTO from Earth are: high orbital velocity of over ; the need to overcome Earth's gravity, especially in the early stages of flight; and flight within
Earth's atmosphere
The atmosphere of Earth is composed of a layer of gas mixture that surrounds the Earth's planetary surface (both lands and oceans), known collectively as air, with variable quantities of suspended aerosols and particulates (which create weathe ...
, which limits speed in the early stages of flight due to drag, and influences engine performance.
Advances in rocketry in the 21st century have resulted in a substantial fall in the cost to launch a kilogram of payload to either
low Earth orbit
A low Earth orbit (LEO) is an geocentric orbit, orbit around Earth with a orbital period, period of 128 minutes or less (making at least 11.25 orbits per day) and an orbital eccentricity, eccentricity less than 0.25. Most of the artificial object ...
or the
International Space Station
The International Space Station (ISS) is a large space station that was Assembly of the International Space Station, assembled and is maintained in low Earth orbit by a collaboration of five space agencies and their contractors: NASA (United ...
, reducing the main projected advantage of the SSTO concept.
Notable single stage to orbit concepts include
Skylon, which used the hybrid-cycle SABRE engine that can use oxygen from the atmosphere when it is at low altitude, and then use onboard liquid oxygen after switching to the closed cycle rocket engine at high altitude, the McDonnell Douglas
DC-X, the
Lockheed Martin X-33 and
VentureStar which was intended to replace the Space Shuttle, and the
Roton SSTO, which is a helicopter that can get to orbit. However, despite showing some promise, none of them have come close to achieving orbit yet due to problems with finding a sufficiently efficient propulsion system and discontinued development.
[
Single-stage-to-orbit is much easier to achieve on extraterrestrial bodies that have weaker gravitational fields and lower atmospheric pressure than Earth, such as the Moon and Mars, and has been achieved from the ]Moon
The Moon is Earth's only natural satellite. It Orbit of the Moon, orbits around Earth at Lunar distance, an average distance of (; about 30 times Earth diameter, Earth's diameter). The Moon rotation, rotates, with a rotation period (lunar ...
by the Apollo program
The Apollo program, also known as Project Apollo, was the United States human spaceflight program led by NASA, which Moon landing, landed the first humans on the Moon in 1969. Apollo followed Project Mercury that put the first Americans in sp ...
's Lunar Module
The Apollo Lunar Module (LM ), originally designated the Lunar Excursion Module (LEM), was the lunar lander spacecraft that was flown between lunar orbit and the Moon's surface during the United States' Apollo program. It was the first crewed s ...
, by several robotic spacecraft of the Soviet Luna program
The Luna programme (from the Russian word " Luna" meaning "Moon"), occasionally called ''Lunik'' by western media, was a series of robotic spacecraft missions sent to the Moon by the Soviet Union between 1959 and 1976. The programme accompli ...
, and by China's Chang'e 5
Chang'e 5 () was the fifth lunar exploration mission in the Chinese Lunar Exploration Program of CNSA, and China's first lunar sample-return mission. Like its predecessors, the spacecraft is named after the Chinese moon goddess, Chang'e. ...
and Chang'e 6
Chang'e 6 () was the sixth robotic lunar exploration mission by the China National Space Administration (CNSA) and the second CNSA lunar sample-return mission. Like its predecessors in the Chinese Lunar Exploration Program, the spacecraft is ...
lunar sample return missions.
History
Early concepts
Before the second half of the twentieth century, very little research was conducted into space travel. During the 1960s, some of the first concept designs for this kind of craft began to emerge.
One of the earliest SSTO concepts was the expendable One stage Orbital Space Truck (OOST) proposed by Philip Bono
Philip Bono (13 January 1921 – 23 May 1993) was a Douglas Aircraft Company engineer. He was a pioneer of reusable launch system, reusable vertical landing single-stage to orbit launch vehicles. As a visionary designer, he is credited with in ...
, an engineer for Douglas Aircraft Company
The Douglas Aircraft Company was an American aerospace manufacturer, aerospace and military, defense company based in Southern California. Founded in 1921 by Donald Wills Douglas Sr., it merged with McDonnell Aircraft in 1967 to form McDonnell D ...
. A reusable version named ROOST was also proposed.
Another early SSTO concept was a reusable launch vehicle named NEXUS
NEXUS is a joint Canada Border Services Agency and U.S. Customs and Border Protection-operated Trusted Traveler and expedited border control program designed for pre-approved, low-risk travelers. Members of the program can avoid waits at border ...
which was proposed by Krafft Arnold Ehricke in the early 1960s. It was one of the largest spacecraft ever conceptualized with a diameter of over 50 metres and the capability to lift up to 2000 short tons into Earth orbit, intended for missions to further out locations in the Solar System such as Mars
Mars is the fourth planet from the Sun. It is also known as the "Red Planet", because of its orange-red appearance. Mars is a desert-like rocky planet with a tenuous carbon dioxide () atmosphere. At the average surface level the atmosph ...
.
The North American Air Augmented VTOVL from 1963 was a similarly large craft which would have used ramjets to decrease the liftoff mass of the vehicle by removing the need for large amounts of liquid oxygen while traveling through the atmosphere.
From 1965, Robert Salkeld investigated various single stage to orbit winged spaceplane
A spaceplane is a vehicle that can flight, fly and gliding flight, glide as an aircraft in Earth's atmosphere and function as a spacecraft in outer space. To do so, spaceplanes must incorporate features of both aircraft and spacecraft. Orbit ...
concepts. He proposed a vehicle which would burn hydrocarbon fuel
In organic chemistry, a hydrocarbon is an organic compound consisting entirely of hydrogen and carbon. Hydrocarbons are examples of group 14 hydrides. Hydrocarbons are generally colourless and hydrophobic; their odor is usually faint, and may ...
while in the atmosphere and then switch to hydrogen fuel for increasing efficiency once in space.
Further examples of Bono's early concepts (prior to the 1990s) which were never constructed include:
*ROMBUS (Reusable Orbital Module, Booster, and Utility Shuttle), another design from Philip Bono.[
] This was not technically single stage since it dropped some of its initial hydrogen tanks, but it came very close.
*Ithacus, an adapted ROMBUS concept which was designed to carry soldiers and military equipment to other continents via a sub-orbital trajectory.
*Pegasus, another adapted ROMBUS concept designed to carry passengers and payloads long distances in short amounts of time via space.
* Douglas SASSTO, a 1967 launch vehicle concept.
*Hyperion, yet another Philip Bono concept which used a sled to build up speed before liftoff to save on the amount of fuel which had to be lifted into the air.
Star-raker: In 1979, Rockwell International
Rockwell International was a major American manufacturing conglomerate (company), conglomerate. It was involved in aircraft, the space industry, defense and commercial electronics, components in the automotive industry, printing presses, avioni ...
unveiled a concept for a 100-ton payload heavy-lift multicycle airbreather ramjet/ cryogenic rocket engine, horizontal takeoff/horizontal landing single-stage-to-orbit spaceplane named ''Star-Raker'', designed to launch heavy Space-based solar power
Space-based solar power (SBSP or SSP) is the concept of collecting solar power in outer space with solar power satellites (SPS) and distributing it to Earth. Its advantages include a higher collection of energy due to the lack of reflection ...
satellites into a 300 nautical mile Earth orbit. Star-raker would have had 3 x LOX/LH2 rocket engines (based on the SSME
The RS-25, also known as the Space Shuttle Main Engine (SSME), is a liquid-fuel cryogenic rocket engine that was used on NASA's Space Shuttle and is used on the Space Launch System.
Designed and manufactured in the United States by Rocketd ...
) + 10 x turboramjets.[
Around 1985 the NASP project was intended to launch a scramjet vehicle into orbit, but funding was stopped and the project cancelled. At around the same time, the HOTOL tried to use ]precooled jet engine
A precooled jet engine is a concept that enables jet engines with turbomachinery, as opposed to ramjets, to be used at high speeds. Precooling restores some or all of the performance degradation of the engine compressor (by preventing rotating sta ...
technology, but failed to show significant advantages over rocket technology.
DC-X technology
The DC-X, short for Delta Clipper Experimental, was an uncrewed one-third scale vertical takeoff and landing demonstrator for a proposed SSTO. It is one of only a few prototype SSTO vehicles ever built. Several other prototypes were intended, including the DC-X2 (a half-scale prototype) and the DC-Y, a full-scale vehicle which would be capable of single stage insertion into orbit. Neither of these were built, but the project was taken over by NASA
The National Aeronautics and Space Administration (NASA ) is an independent agencies of the United States government, independent agency of the federal government of the United States, US federal government responsible for the United States ...
in 1995, and they built the DC-XA, an upgraded one-third scale prototype. This vehicle was lost when it landed with only three of its four landing pads deployed, which caused it to tip over on its side and explode. The project has not been continued since.
Roton
From 1999 to 2001 Rotary Rocket attempted to build a SSTO vehicle called the Roton. It received a large amount of media attention and a working sub-scale prototype was completed, but the design was largely impractical.
Approaches
There have been various approaches to SSTO vehicles including: pure rockets that are launched and land vertically, air-breathing scramjet
A scramjet (supersonic combustion ramjet) is a variant of a ramjet airbreathing jet engine in which combustion takes place in supersonic airflow. As in ramjets, a scramjet relies on high vehicle speed to compress the incoming air forcefully b ...
-powered vehicles that are launched and land horizontally, nuclear-powered
Nuclear power is the use of nuclear reactions to produce electricity. Nuclear power can be obtained from nuclear fission, nuclear decay and nuclear fusion reactions. Presently, the vast majority of electricity from nuclear power is produced b ...
vehicles, and even jet-engine-powered vehicles that can fly into orbit and return landing like an airliner, completely intact.
For rocket-powered SSTO, the main challenge is achieving a high enough mass-ratio to carry sufficient propellant
A propellant (or propellent) is a mass that is expelled or expanded in such a way as to create a thrust or another motive force in accordance with Newton's third law of motion, and "propel" a vehicle, projectile, or fluid payload. In vehicle ...
to achieve orbit
In celestial mechanics, an orbit (also known as orbital revolution) is the curved trajectory of an object such as the trajectory of a planet around a star, or of a natural satellite around a planet, or of an artificial satellite around an ...
, plus a meaningful payload weight. One possibility is to give the rocket an initial speed with a space gun, as planned in the Quicklaunch project.
For air-breathing SSTO, the main challenges are system complexity and associated research and development
Research and development (R&D or R+D), known in some countries as OKB, experiment and design, is the set of innovative activities undertaken by corporations or governments in developing new services or products. R&D constitutes the first stage ...
costs, material science
A material is a substance or mixture of substances that constitutes an object. Materials can be pure or impure, living or non-living matter. Materials can be classified on the basis of their physical and chemical properties, or on their geol ...
, construction techniques necessary for surviving sustained high-speed flight within the atmosphere, ''and'' achieving a high enough mass-ratio to carry sufficient propellant to achieve orbit, plus a meaningful payload weight. Air-breathing designs typically fly at supersonic
Supersonic speed is the speed of an object that exceeds the speed of sound (Mach 1). For objects traveling in dry air of a temperature of 20 °C (68 °F) at sea level, this speed is approximately . Speeds greater than five times ...
or hypersonic
In aerodynamics, a hypersonic speed is one that exceeds five times the speed of sound, often stated as starting at speeds of Mach 5 and above.
The precise Mach number at which a craft can be said to be flying at hypersonic speed varies, since i ...
speeds and usually include a rocket engine for the final burn for orbit.[
Whether rocket-powered or air-breathing, a reusable vehicle must be rugged enough to survive multiple round trips into space without adding excessive weight or maintenance. In addition, a reusable vehicle must be able to reenter without damage and land safely.
While single-stage rockets were once thought to be beyond reach, advances in materials technology and construction techniques have shown them to be possible. For example, calculations show that the ]Titan II
The Titan II was an intercontinental ballistic missile (ICBM) developed by the Glenn L. Martin Company from the earlier Titan I missile. Titan II was originally designed and used as an ICBM, but was later adapted as a medium-lift space ...
first stage, launched on its own, would have a 25-to-1 ratio of fuel to vehicle hardware.
It has a sufficiently efficient engine to achieve orbit, but without carrying much payload.
Dense versus hydrogen fuels
Hydrogen fuel might seem the obvious fuel for SSTO vehicles. When burned with oxygen
Oxygen is a chemical element; it has chemical symbol, symbol O and atomic number 8. It is a member of the chalcogen group (periodic table), group in the periodic table, a highly reactivity (chemistry), reactive nonmetal (chemistry), non ...
, hydrogen gives the highest specific impulse
Specific impulse (usually abbreviated ) is a measure of how efficiently a reaction mass engine, such as a rocket engine, rocket using propellant or a jet engine using fuel, generates thrust. In general, this is a ratio of the ''Impulse (physics), ...
of any commonly used fuel: around 450 seconds, compared with up to 350 seconds for kerosene
Kerosene, or paraffin, is a combustibility, combustible hydrocarbon liquid which is derived from petroleum. It is widely used as a fuel in Aviation fuel, aviation as well as households. Its name derives from the Greek (''kērós'') meaning " ...
.
Hydrogen has the following advantages:
* Hydrogen has nearly 30% higher specific impulse (about 450 seconds vs. 350 seconds) than most dense fuels.
* Hydrogen is an excellent coolant.
* The gross mass of hydrogen stages is lower than dense-fuelled stages for the same payload.
* Hydrogen is environmentally friendly.
However, hydrogen also has these disadvantages:
* Very low density (about of the density of kerosene) – requiring a very large tank
* Deeply cryogenic
In physics, cryogenics is the production and behaviour of materials at very low temperatures.
The 13th International Institute of Refrigeration's (IIR) International Congress of Refrigeration (held in Washington, DC in 1971) endorsed a univers ...
– must be stored at very low temperatures and thus needs heavy insulation
* Escapes very easily from the smallest gap
* Wide combustible range – easily ignited and burns with a dangerously invisible flame
* Tends to condense oxygen which can cause flammability problems
* Has a large coefficient of expansion for even small heat leaks.
These issues can be dealt with, but at extra cost.
While kerosene tanks can be 1% of the weight of their contents, hydrogen tanks often must weigh 10% of their contents. This is because of both the low density and the additional insulation required to minimize boiloff (a problem which does not occur with kerosene and many other fuels). The low density of hydrogen further affects the design of the rest of the vehicle: pumps and pipework need to be much larger in order to pump the fuel to the engine. The result is the thrust/weight ratio of hydrogen-fueled engines is 30–50% lower than comparable engines using denser fuels.
This inefficiency indirectly affects gravity losses as well; the vehicle has to hold itself up on rocket power until it reaches orbit. The lower excess thrust of the hydrogen engines due to the lower thrust/weight ratio means that the vehicle must ascend more steeply, and so less thrust acts horizontally. Less horizontal thrust results in taking longer to reach orbit, and gravity losses are increased by at least . While not appearing large, the mass ratio to delta-v
Delta-''v'' (also known as "change in velocity"), symbolized as and pronounced , as used in spacecraft flight dynamics, is a measure of the impulse per unit of spacecraft mass that is needed to perform a maneuver such as launching from or l ...
curve is very steep to reach orbit in a single stage, and this makes a 10% difference to the mass ratio on top of the tankage and pump savings.
The overall effect is that there is surprisingly little difference in overall performance between SSTOs that use hydrogen and those that use denser fuels, except that hydrogen vehicles may be rather more expensive to develop and buy. Careful studies have shown that some dense fuels (for example liquid propane
Propane () is a three-carbon chain alkane with the molecular formula . It is a gas at standard temperature and pressure, but becomes liquid when compressed for transportation and storage. A by-product of natural gas processing and petroleum ref ...
) exceed the performance of hydrogen fuel when used in an SSTO launch vehicle by 10% for the same dry weight.
In the 1960s Philip Bono
Philip Bono (13 January 1921 – 23 May 1993) was a Douglas Aircraft Company engineer. He was a pioneer of reusable launch system, reusable vertical landing single-stage to orbit launch vehicles. As a visionary designer, he is credited with in ...
investigated single-stage, VTVL tripropellant rockets, and showed that it could improve payload size by around 30%.
Operational experience with the DC-X experimental rocket has caused a number of SSTO advocates to reconsider hydrogen as a satisfactory fuel. The late Max Hunter, while employing hydrogen fuel in the DC-X, often said that he thought the first successful orbital SSTO would more likely be fueled by propane.
One engine for all altitudes
Some SSTO concepts use the same engine for all altitudes, which is a problem for traditional engines with a bell-shaped nozzle
A nozzle is a device designed to control the direction or characteristics of a fluid flow (specially to increase velocity) as it exits (or enters) an enclosed chamber or pipe (material), pipe.
A nozzle is often a pipe or tube of varying cross ...
. Depending on the atmospheric pressure, different bell shapes are required. Engines designed to operate in a vacuum have large bells, allowing the exhaust gasses to expand to near vacuum pressures, thereby raising efficiency. Due to an effect known as Flow separation
In fluid dynamics, flow separation or boundary layer separation is the detachment of a boundary layer from a surface into a wake.
A boundary layer exists whenever there is relative movement between a fluid and a solid surface with viscous fo ...
, using a vacuum bell in atmosphere would have disastrous consequences for the engine. Engines designed to fire in atmosphere therefore have to shorten the nozzle, only expanding the gasses to atmospheric pressure. The efficiency losses due to the smaller bell are usually mitigated via staging, as upper stage engines such as the Rocketdyne J-2
The J-2, commonly known as Rocketdyne J-2, was a liquid-fuel rocket, liquid-fuel cryogenic rocket engine used on NASA's Saturn IB and Saturn V launch vehicles. Built in the United States by Rocketdyne, the J-2 burned Cryogenic fuel, cryogenic liqu ...
do not have to fire until atmospheric pressure is negligible, and can therefore use the larger bell.
One possible solution would be to use an aerospike engine
The aerospike engine is a type of rocket engine that maintains its aerodynamic efficiency across a wide range of altitudes. It belongs to the class of altitude compensating nozzle engines. Aerospike engines were proposed for many single-stage- ...
, which can be effective in a wide range of ambient pressures. In fact, a linear aerospike engine was to be used in the X-33 design.
Other solutions involve using multiple engines and other altitude adapting designs such as double-mu bells or extensible bell sections.
Still, at very high altitudes, the extremely large engine bells tend to expand the exhaust gases down to near vacuum pressures. As a result, these engine bells are counterproductive due to their excess weight. Some SSTO concepts use very high pressure engines which permit high ratios to be used from ground level. This gives good performance, negating the need for more complex solutions.
Airbreathing SSTO
Some designs for SSTO attempt to use airbreathing jet engine
An airbreathing jet engine (or ducted jet engine) is a jet engine in which the exhaust gas which supplies jet propulsion is atmospheric air, which is taken in, compressed, heated, and expanded back to atmospheric pressure through a propelling noz ...
s that collect oxidizer and reaction mass from the atmosphere to reduce the take-off weight of the vehicle.
Some of the issues with this approach are:
* No known air breathing engine is capable of operating at orbital speed within the atmosphere (for example hydrogen fueled scramjet
A scramjet (supersonic combustion ramjet) is a variant of a ramjet airbreathing jet engine in which combustion takes place in supersonic airflow. As in ramjets, a scramjet relies on high vehicle speed to compress the incoming air forcefully b ...
s seem to have a top speed of about Mach 17). This means that rockets must be used for the final orbital insertion.
* Rocket thrust needs the orbital mass to be as small as possible to minimize propellant weight.
* The thrust-to-weight ratio of rockets that rely on on-board oxygen increases dramatically as fuel is expended, because the oxidizer fuel tank has about 1% of the mass as the oxidizer it carries, whereas air-breathing engines traditionally have a poor thrust/weight ratio which is relatively fixed during the air-breathing ascent.
* Very high speeds in the atmosphere necessitate very heavy thermal protection systems, which makes reaching orbit even harder.
* While at lower speeds, air-breathing engines are very efficient, but the efficiency ( Isp) and thrust levels of air-breathing jet engines drop considerably at high speed (above Mach 5–10 depending on the engine) and begin to approach that of rocket engines or worse.
* Lift to drag ratios of vehicles at hypersonic speeds are poor, however the effective lift to drag ratios of rocket vehicles at high g is not dissimilar.
Thus with for example scramjet designs (e.g. X-43) the mass budgets do not seem to close for orbital launch.
Similar issues occur with single-stage vehicles attempting to carry conventional jet engines to orbit—the weight of the jet engines is not compensated sufficiently by the reduction in propellant.
On the other hand, LACE-like precooled airbreathing designs such as the Skylon spaceplane (and ATREX
The ATREX engine (Air Turbo Ramjet Engine with eXpander cycle) developed in Japan is an experimental precooled jet engine that works as a turbojet at low speeds and a ramjet up to Mach number, mach 6.0.
ATREX uses LH2, liquid hydrogen fuel in a ...
) which transition to rocket thrust at rather lower speeds (Mach 5.5) do seem to give, on paper at least, an improved orbital mass fraction over pure rockets (even multistage rockets) sufficiently to hold out the possibility of full reusability with better payload fraction.
It is important to note that mass fraction is an important concept in the engineering of a rocket. However, mass fraction may have little to do with the costs of a rocket, as the costs of fuel are very small when compared to the costs of the engineering program as a whole. As a result, a cheap rocket with a poor mass fraction may be able to deliver more payload to orbit with a given amount of money than a more complicated, more efficient rocket.
Launch assists
Many vehicles are only narrowly suborbital, so practically anything that gives a relatively small delta-v increase can be helpful, and outside assistance for a vehicle is therefore desirable.
Proposed launch assists include:
* sled launch (rail, maglev including Bantam, MagLifter, and StarTram, etc.)
* air launch or aircraft tow
*aerial refueling
Aerial refueling ( en-us), or aerial refuelling ( en-gb), also referred to as air refueling, in-flight refueling (IFR), air-to-air refueling (AAR), and tanking, is the process of transferring aviation fuel from one aircraft (the tanker) to an ...
* Lofstrom launch loop/space fountain
A space fountain is a proposed form of an extremely tall tower extending into space. As known materials cannot support a static tower with this height, a space fountain has to be an active structure: A stream of pellets is accelerated upwards ...
s
And on-orbit resources such as:
* Space tether
*tugs
Nuclear propulsion
Due to weight issues such as shielding, many nuclear propulsion systems are unable to lift their own weight, and hence are unsuitable for launching to orbit. However, some designs such as the Orion project and some nuclear thermal designs do have a thrust to weight ratio
Thrust-to-weight ratio is a dimensionless quantity, dimensionless ratio of thrust to weight of a rocket, jet engine, Propeller (aircraft), propeller engine, or a vehicle propelled by such an engine that is an indicator of the performance of the eng ...
in excess of 1, enabling them to lift off. Clearly, one of the main issues with nuclear propulsion would be safety, both during a launch for the passengers, but also in case of a failure during launch. As of February 2024, no current program is attempting nuclear propulsion from Earth's surface.
Beam-powered propulsion
Because they can be more energetic than the potential energy that chemical fuel allows for, some laser or microwave powered rocket concepts have the potential to launch vehicles into orbit, single stage. In practice, this area is not possible with current technology.
Design challenges inherent in SSTO
The design space constraints of SSTO vehicles were described by rocket design engineer Robert Truax:
The Tsiolkovsky rocket equation
The classical rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket: a device that can apply acceleration to itself using thrust by expelling part o ...
expresses the maximum change in velocity any single rocket stage can achieve:
where:
The mass ratio of a vehicle is defined as a ratio the initial vehicle mass when fully loaded with propellants to the final vehicle mass after the burn:
where:
The propellant mass fraction () of a vehicle can be expressed solely as a function of the mass ratio:
The structural coefficient () is a critical parameter in SSTO vehicle design. Structural efficiency of a vehicle is maximized as the structural coefficient approaches zero. The structural coefficient is defined as:
The overall structural mass fraction can be expressed in terms of the structural coefficient:
An additional expression for the overall structural mass fraction can be found by noting that the payload mass fraction , propellant mass fraction and structural mass fraction sum to one:
Equating the expressions for structural mass fraction and solving for the initial vehicle mass yields:
This expression shows how the size of a SSTO vehicle is dependent on its structural efficiency. Given a mission profile and propellant type , the size of a vehicle increases with an increasing structural coefficient. This growth factor sensitivity is shown parametrically for both SSTO and two-stage-to-orbit
A two-stage-to-orbit (TSTO) or two-stage rocket is a launch vehicle in which two distinct multistage rocket, stages provide propulsion consecutively in order to achieve orbital velocity. It is intermediate between a three-stage-to-orbit launcher a ...
(TSTO) vehicles for a standard LEO mission. The curves vertically asymptote at the maximum structural coefficient limit where mission criteria can no longer be met:
In comparison to a non-optimized TSTO vehicle using restricted staging, a SSTO rocket launching an identical payload mass and using the same propellants will always require a substantially smaller structural coefficient to achieve the same delta-v. Given that current materials technology places a lower limit of approximately 0.1 on the smallest structural coefficients attainable, reusable SSTO vehicles are typically an impractical choice even when using the highest performance propellants available.
Examples
It is easier to achieve SSTO from a body with lower gravitational pull than Earth, such as the Moon
The Moon is Earth's only natural satellite. It Orbit of the Moon, orbits around Earth at Lunar distance, an average distance of (; about 30 times Earth diameter, Earth's diameter). The Moon rotation, rotates, with a rotation period (lunar ...
or Mars
Mars is the fourth planet from the Sun. It is also known as the "Red Planet", because of its orange-red appearance. Mars is a desert-like rocky planet with a tenuous carbon dioxide () atmosphere. At the average surface level the atmosph ...
. The Apollo Lunar Module
The Apollo Lunar Module (LM ), originally designated the Lunar Excursion Module (LEM), was the lunar lander spacecraft that was flown between lunar orbit and the Moon's surface during the United States' Apollo program. It was the first crewed sp ...
ascended from the lunar surface to lunar orbit in a single stage.
A detailed study into SSTO vehicles was prepared by Chrysler Corporation
FCA US, LLC, doing business as Stellantis North America and known historically as Chrysler ( ), is one of the " Big Three" automobile manufacturers in the United States, headquartered in Auburn Hills, Michigan. It is the American subsidiary of ...
's Space Division in 1970–1971 under NASA contract NAS8-26341. Their proposal ( Shuttle SERV) was an enormous vehicle with more than of payload, utilizing jet engine
A jet engine is a type of reaction engine, discharging a fast-moving jet (fluid), jet of heated gas (usually air) that generates thrust by jet propulsion. While this broad definition may include Rocket engine, rocket, Pump-jet, water jet, and ...
s for (vertical) landing. While the technical problems seemed to be solvable, the USAF
The United States Air Force (USAF) is the Air force, air service branch of the United States Department of Defense. It is one of the six United States Armed Forces and one of the eight uniformed services of the United States. Tracing its ori ...
required a winged design that led to the Shuttle as we know it today.
The uncrewed DC-X technology demonstrator, originally developed by McDonnell Douglas
McDonnell Douglas Corporation was a major American Aerospace manufacturer, aerospace manufacturing corporation and defense contractor, formed by the merger of McDonnell Aircraft and the Douglas Aircraft Company in 1967. Between then and its own ...
for the Strategic Defense Initiative
The Strategic Defense Initiative (SDI) was a proposed missile defense system intended to protect the United States from attack by ballistic nuclear missiles. The program was announced in 1983, by President Ronald Reagan. Reagan called for a ...
(SDI) program office, was an attempt to build a vehicle that could lead to an SSTO vehicle. The one-third-size test craft was operated and maintained by a small team of three people based out of a trailer, and the craft was once relaunched less than 24 hours after landing. Although the test program was not without mishap (including a minor explosion), the DC-X demonstrated that the maintenance aspects of the concept were sound. That project was cancelled when it landed with three of four legs deployed, tipped over, and exploded on the fourth flight after transferring management from the Strategic Defense Initiative Organization to NASA.
The Aquarius Launch Vehicle was designed to bring bulk materials to orbit as cheaply as possible.
Current development
Current and previous SSTO projects include the Japanese Kankoh-maru project, ARCA Haas 2C, Radian One and the Indian Avatar
Avatar (, ; ) is a concept within Hinduism that in Sanskrit literally means . It signifies the material appearance or incarnation of a powerful deity, or spirit on Earth. The relative verb to "alight, to make one's appearance" is sometimes u ...
spaceplane.
Skylon
The British Government partnered with the ESA in 2010 to promote a single-stage to orbit spaceplane
A spaceplane is a vehicle that can flight, fly and gliding flight, glide as an aircraft in Earth's atmosphere and function as a spacecraft in outer space. To do so, spaceplanes must incorporate features of both aircraft and spacecraft. Orbit ...
concept called Skylon. This design was pioneered by Reaction Engines Limited (REL), a company founded by Alan Bond after HOTOL was canceled. The Skylon spaceplane has been positively received by the British government, and the British Interplanetary Society
The British Interplanetary Society (BIS), founded in Liverpool in 1933 by Philip E. Cleator, is the oldest existing space advocacy organisation in the world. Its aim is exclusively to support and promote astronautics and space exploration.
St ...
. Following a successful propulsion system test that was audited by ESA's propulsion division in mid-2012, REL announced that it would begin a three-and-a-half-year project to develop and build a test jig of the Sabre engine to prove the engines performance across its air-breathing and rocket modes. In November 2012, it was announced that a key test of the engine precooler had been successfully completed, and that ESA had verified the precooler's design. The project's development is now allowed to advance to its next phase, which involves the construction and testing of a full-scale prototype engine.[
]
Alternative approaches to inexpensive spaceflight
Many studies have shown that regardless of selected technology, the most effective cost reduction technique is economies of scale
In microeconomics, economies of scale are the cost advantages that enterprises obtain due to their scale of operation, and are typically measured by the amount of Productivity, output produced per unit of cost (production cost). A decrease in ...
. Merely launching a large total number reduces the manufacturing costs per vehicle, similar to how the mass production
Mass production, also known as mass production, series production, series manufacture, or continuous production, is the production of substantial amounts of standardized products in a constant flow, including and especially on assembly lines ...
of automobiles brought about great increases in affordability.
Using this concept, some aerospace analysts believe the way to lower launch costs is the exact opposite of SSTO. Whereas reusable SSTOs would reduce per launch costs by making a reusable high-tech vehicle that launches frequently with low maintenance, the "mass production" approach views the technical advances as a source of the cost problem in the first place. By simply building and launching large quantities of rockets, and hence launching a large volume of payload, costs can be brought down. This approach was attempted in the late 1970s, early 1980s in West Germany
West Germany was the common English name for the Federal Republic of Germany (FRG) from its formation on 23 May 1949 until German reunification, its reunification with East Germany on 3 October 1990. It is sometimes known as the Bonn Republi ...
with the Democratic Republic of the Congo
The Democratic Republic of the Congo (DRC), also known as the DR Congo, Congo-Kinshasa, or simply the Congo (the last ambiguously also referring to the neighbouring Republic of the Congo), is a country in Central Africa. By land area, it is t ...
-based OTRAG rocket.
This is somewhat similar to the approach some previous systems have taken, using simple engine systems with "low-tech" fuels, as the Russian
Russian(s) may refer to:
*Russians (), an ethnic group of the East Slavic peoples, primarily living in Russia and neighboring countries
*A citizen of Russia
*Russian language, the most widely spoken of the Slavic languages
*''The Russians'', a b ...
and Chinese space program
The space program of the People's Republic of China is about the activities in outer space conducted and directed by the China, People's Republic of China. The roots of the Chinese space program trace back to the 1950s, when, with the help ...
s still do.
An alternative to scale is to make the discarded stages practically reusable: this was the original design goal of the Space Shuttle
The Space Shuttle is a retired, partially reusable launch system, reusable low Earth orbital spacecraft system operated from 1981 to 2011 by the U.S. National Aeronautics and Space Administration (NASA) as part of the Space Shuttle program. ...
phase B studies, and is currently pursued by the SpaceX reusable launch system development program with their Falcon 9
Falcon 9 is a Reusable launch system#Partial reusable launch systems, partially reusable, two-stage-to-orbit, medium-lift launch vehicle designed and manufactured in the United States by SpaceX. The first Falcon 9 launch was on June 4, 2010, an ...
, Falcon Heavy
Falcon Heavy is a super heavy-lift launch vehicle with partial reusability that can carry cargo into Earth orbit and beyond. It is designed, manufactured and launched by American aerospace company SpaceX.
The rocket consists of a center core ...
, and Starship
A starship, starcraft, or interstellar spacecraft is a theoretical spacecraft designed for interstellar travel, traveling between planetary systems. The term is mostly found in science fiction. Reference to a "star-ship" appears as early as 1 ...
, and Blue Origin
Blue Origin Enterprises, L.P. is an American space technology company headquartered in Kent, Washington. The company operates the suborbital New Shepard rocket and the heavy-lift New Glenn rocket. In addition to producing engines for its own ...
using New Glenn
New Glenn is a heavy-lift launch vehicle developed and operated by the American company Blue Origin. The rocket is designed to have a Reusable launch vehicle, partially reusable, two-stage design with a diameter of . The first stage is powered ...
.
See also
* Aerospike engine
The aerospike engine is a type of rocket engine that maintains its aerodynamic efficiency across a wide range of altitudes. It belongs to the class of altitude compensating nozzle engines. Aerospike engines were proposed for many single-stage- ...
* Bristol Spaceplanes
* British Aerospace HOTOL
* Kankoh-maru
* Launch loop
* Lockheed Martin X-33
* Mass fraction
* NASA X-43
The NASA X-43 was an experimental unmanned hypersonic aircraft with multiple planned scale variations meant to test various aspects of hypersonic flight. It was part of the X-plane series and specifically of NASA's Hyper-X program developed i ...
* Orbital ring
* Rockwell X-30
* Roton
* Scramjet
A scramjet (supersonic combustion ramjet) is a variant of a ramjet airbreathing jet engine in which combustion takes place in supersonic airflow. As in ramjets, a scramjet relies on high vehicle speed to compress the incoming air forcefully b ...
* Space elevator
A space elevator, also referred to as a space bridge, star ladder, and orbital lift, is a proposed type of planet-to-space transportation system, often depicted in science fiction. The main component would be a cable (also called a tether) an ...
* Spacecraft propulsion
Spacecraft propulsion is any method used to accelerate spacecraft and artificial satellites. In-space propulsion exclusively deals with propulsion systems used in the vacuum of space and should not be confused with space launch or atmospheric e ...
* Three-stage-to-orbit
A multistage rocket or step rocket is a launch vehicle that uses two or more rocket ''stages'', each of which contains its own Rocket engine, engines and Rocket propellant, propellant. A ''tandem'' or ''serial'' stage is mounted on top of anoth ...
* Two-stage-to-orbit
A two-stage-to-orbit (TSTO) or two-stage rocket is a launch vehicle in which two distinct multistage rocket, stages provide propulsion consecutively in order to achieve orbital velocity. It is intermediate between a three-stage-to-orbit launcher a ...
* VentureStar
* XS-1 (spacecraft)
Further reading
* Andrew J. Butrica: ''Single Stage to Orbit - Politics, Space Technology, and the Quest for Reusable Rocketry.'' The Johns Hopkins University Press, Baltimore 2004, .
References
External links
A Single-Stage-to-Orbit Thought Experiment
an analysis of space launch costs, with a section critiquing SSTO
A critique of SSTO by Jeffrey F. Bell.
{{DEFAULTSORT:Single-Stage-To-Orbit
Rocket propulsion
Space access
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Spacecraft propulsion