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A stability derivative. This is an example of a common shorthand notation for stability derivatives. The "M" indicates it is a measure of pitching moment changes. The indicates the changes are in response to changes in angle of attack. This stability derivative is pronounced "see-em-alpha". It is one measure of how strongly an aircraft wants to fly "nose first", which is clearly very important.
Stability derivatives, and also control derivatives, are measures of how particular forces and moments on an aircraft change as other parameters related to stability change (parameters such as airspeed, altitude, angle of attack, etc.). For a defined "trim" flight condition, changes and oscillations occur in these parameters. Equations of motion are used to analyze these changes and oscillations. Stability and control derivatives are used to linearize (simplify) these equations of motion so the stability of the vehicle can be more readily analyzed.
Stability and control derivatives change as flight conditions change. The collection of stability and control derivatives as they change over a range of flight conditions is called an aero model. Aero models are used in engineering flight simulators to analyze stability, and in real-time flight simulators for training and entertainment.
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Stabilityderivatives, and also control derivatives, are measures of how particular forces and moments on an aircraft change as other parameters related...
their time derivatives. These are characterized by stabilityderivatives determined from the flight condition. The possible stabilityderivatives are: Z α...
description of an aircraft, and outputs its corresponding dimensionless stabilityderivatives according to the specified flight conditions. The values obtained...
In flight dynamics, longitudinal stability is the stability of an aircraft in the longitudinal, or pitching, plane. This characteristic is important in...
In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations...
enhanced[clarification needed] stability, volatility, and hydrophobicity. Several fluorocarbons and their derivatives are commercial polymers, refrigerants...
Various types of stability may be discussed for the solutions of differential equations or difference equations describing dynamical systems. The most...
Modified starch, also called starch derivatives, is prepared by physically, enzymatically, or chemically treating native starch to change its properties...
investigate the precise stability of the system, higher order derivatives can be examined. The state is unstable if the lowest nonzero derivative is of odd order...
function of several variables is the matrix of all its first-order partial derivatives. When this matrix is square, that is, when the function takes the same...
In control theory and stability theory, the Nyquist stability criterion or Strecker–Nyquist stability criterion, independently discovered by the German...
sufficiently slow at 0 °C to allow alkylated derivatives to be manipulated selectively. Even more fluxional are the derivatives C5H5E(CH3)3 (E = Si, Ge, Sn), wherein...
statement did not necessarily indicate price stability. Aberrancy (geometry) Derivative (mathematics) Second derivative do Carmo, Manfredo (1976). Differential...
hydrodynamic stability is the field which analyses the stability and the onset of instability of fluid flows. The study of hydrodynamic stability aims to find...
the gust angular velocity but gives criteria based on airplane stabilityderivatives for when they can be omitted. The Dryden model is one of the most...
)\end{aligned}}} The military specifications give criteria based on vehicle stabilityderivatives to determine whether the gust angular velocity components are significant...
rate. They can be exchange-traded derivatives and over-the-counter (OTC) derivatives. Some of the more common derivatives include forwards, futures, options...
given configuration and flight condition, a complete set of stability and control derivatives can be determined without resort to outside information. A...
prove the stability of an equilibrium of an ODE. Lyapunov functions (also called Lyapunov’s second method for stability) are important to stability theory...
positions). In nucleic acids, three types of nucleobases are pyrimidine derivatives: cytosine (C), thymine (T), and uracil (U). The pyrimidine ring system...
(C 6H• 5). Although Ph and phenyl uniquely denote C6H5−, substituted derivatives also are described using the phenyl terminology. For example, C6H4NO2−...
investigated. The anticancer activity of ferrocene derivatives was first investigated in the late 1970s, when derivatives bearing amine or amide groups were tested...
In coordination chemistry, a stability constant (also called formation constant or binding constant) is an equilibrium constant for the formation of a...
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