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Energy–maneuverability theory is a model of aircraft performance. It was developed by Col. John Boyd, a fighter pilot, and
Thomas P. Christie Thomas Philip Christie (born May 28, 1934 in Pensacola, Florida) is an American defense analyst who worked for the U.S. government. Christie graduated from Spring Hill College with a B.S. degree in mathematics in May 1955 and from New York Univer ...
, a mathematician with the
United States Air Force The United States Air Force (USAF) is the air service branch of the United States Armed Forces, and is one of the eight uniformed services of the United States. Originally created on 1 August 1907, as a part of the United States Army S ...
, and is useful in describing an aircraft's performance as the total of kinetic and
potential Potential generally refers to a currently unrealized ability. The term is used in a wide variety of fields, from physics to the social sciences to indicate things that are in a state where they are able to change in ways ranging from the simple r ...
energies or
aircraft specific energy Aircraft-specific energy is a form of specific energy applied to aircraft and missile trajectory analysis. It represents the combined kinetic and potential energy of the vehicle at any given time. It is the total energy of the vehicle (relative to ...
. It relates the
thrust Thrust is a reaction force In physics, a force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity (e.g. moving from a state of rest), i.e., to accelerate. Force can al ...
,
weight In science and engineering, the weight of an object is the force acting on the object due to gravity. Some standard textbooks define weight as a vector quantity, the gravitational force acting on the object. Others define weight as a scalar q ...
, aerodynamic drag,
wing area A wing is a type of fin that produces lift while moving through air or some other fluid. Accordingly, wings have streamlined cross-sections that are subject to aerodynamic forces and act as airfoils. A wing's aerodynamic efficiency is expres ...
, and other flight characteristics of an aircraft into a
quantitative model Quantitative may refer to: * Quantitative research, scientific investigation of quantitative properties * Quantitative analysis (disambiguation) * Quantitative verse, a metrical system in poetry * Statistics, also known as quantitative analysis ...
. This allows combat capabilities of various aircraft or prospective design
trade-offs A trade-off (or tradeoff) is a situational decision that involves diminishing or losing one quality, quantity, or property of a set or design in return for gains in other aspects. In simple terms, a tradeoff is where one thing increases, and anot ...
to be predicted and compared.


Formula

All of these aspects of airplane performance are compressed into a single value by the following formula: : \begin P_S & = & V \left ( \frac \right ) \\ \\ V & = & \text \\ T & = & \text \\ D & = & \text \\ W & = & \text \end


History

John Boyd, a U.S. jet fighter pilot in the
Korean War {{Infobox military conflict , conflict = Korean War , partof = the Cold War and the Korean conflict , image = Korean War Montage 2.png , image_size = 300px , caption = Clockwise from top: ...
, began developing the theory in the early 1960s. He teamed with mathematician Thomas Christie at
Eglin Air Force Base Eglin Air Force Base is a United States Air Force (USAF) base in the western Florida Panhandle, located about southwest of Valparaiso in Okaloosa County. The host unit at Eglin is the 96th Test Wing (formerly the 96th Air Base Wing). The ...
to use the base's high-speed computer to compare the performance envelopes of U.S. and
Soviet The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen national ...
aircraft from the Korean and
Vietnam War The Vietnam War (also known by #Names, other names) was a conflict in Vietnam, Laos, and Cambodia from 1 November 1955 to the fall of Saigon on 30 April 1975. It was the second of the Indochina Wars and was officially fought between North Vie ...
s. They completed a two-volume report on their studies in 1964. Energy Maneuverability came to be accepted within the U.S. Air Force and brought about improvements in the requirements for the
F-15 Eagle The McDonnell Douglas F-15 Eagle is an American twin-engine, all-weather tactical fighter aircraft designed by McDonnell Douglas (now part of Boeing). Following reviews of proposals, the United States Air Force selected McDonnell Dougla ...
and later the
F-16 Fighting Falcon The General Dynamics F-16 Fighting Falcon is a single-engine multirole fighter aircraft originally developed by General Dynamics for the United States Air Force (USAF). Designed as an air superiority day fighter, it evolved into a successful ...
fighters.Jenkins, Dennis R. ''McDonnell Douglas F-15 Eagle, Supreme Heavy-Weight Fighter'', p. 7. Aerofax, 1998.


See also

*
Lagrangian mechanics In physics, Lagrangian mechanics is a formulation of classical mechanics founded on the stationary-action principle (also known as the principle of least action). It was introduced by the Italian-French mathematician and astronomer Joseph-Lou ...


Notes


References

*Hammond, Grant T. ''The Mind of War: John Boyd and American Security''. Washington, D.C.: Smithsonian Institution Press, 2001. and . *Coram, Robert. ''Boyd: The Fighter Pilot Who Changed the Art of War''. New York: Back Bay Books, 2002. and . * Wendl, M.J., G.G. Grose, J.L. Porter, and V.R. Pruitt
''Flight/Propulsion Control Integration Aspects of Energy Management''
Society of Automotive Engineers SAE International, formerly named the Society of Automotive Engineers, is a United States-based, globally active professional association and standards developing organization for engineering professionals in various industries. SAE Internatio ...
, 1974, p. 740480. {{DEFAULTSORT:Energy-maneuverability theory Aerospace engineering