# What is stabilizer: Definition and 15 Discussions

An aircraft stabilizer is an aerodynamic surface, typically including one or more movable control surfaces, that provides longitudinal (pitch) and/or directional (yaw) stability and control. A stabilizer can feature a fixed or adjustable structure on which any movable control surfaces are hinged, or it can itself be a fully movable surface such as a stabilator. Depending on the context, "stabilizer" may sometimes describe only the front part of the overall surface.
In the conventional aircraft configuration, separate vertical (fin) and horizontal (tailplane) stabilizers form an empennage positioned at the tail of the aircraft. Other arrangements of the empennage, such as the V-tail configuration, feature stabilizers which contribute to a combination of longitudinal and directional stabilization and control.
Longitudinal stability and control may be obtained with other wing configurations, including canard, tandem wing and tailless aircraft.
Some types of aircraft are stabilized with electronic flight control; in this case, fixed and movable surfaces located anywhere along the aircraft may serve as active motion dampers or stabilizers.

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1. ### I Using the orbit-stabilizer theorem to identify groups

I want to identify: ##S^n## with the quotient of ##O(n + 1,R)## by ##O(n,R)##. ##S^{2n+1}## with the quotient of ##U(n + 1)## by ##U(n)##. The orbit-stabilizer theorem would give us the result, but my problem is to apply it. My problem is how to find the stabilizer. In 1 how to define the...
2. ### Stabilizer Leg Linear Actuator Force to Jack up a Truck's rear tyres

Hi, I previously posted about the statically indeterminate truck problem. Thank you to everyone who helped me. However, I now realized that isn't the problem I need to solve. I need to know the force of the linear actuators to lift the rear tyres off the ground. Since the tyres will be...
3. ### A Expectation Value of a Stabilizer

Given that operator ##S_M##, which consists entirely of ##Y## and ##Z## Pauli operators, is a stabilizer of some graph state ##G## i.e. the eigenvalue equation is given as ##S_MG = G## (eigenvalue ##1##). In the paper 'Graph States as a Resource for Quantum Metrology' (page 3) it states that...
4. ### How can an appliance work better when the AC Mains stabilizer is removed?

I don't know whether this question is suited to this forum specifically, but since it deals with electronics, I am putting it here. We have an old air-conditioner, bought in 2007. As you can understand, it is one of the old models running on R22 gas and it switches off the compressor when the...
5. ### Two basic types of horizontal stabilizer systems

There are two basic types of horizontal stabilizer systems on most general aviation aircraft. Horizontal stabilizer with elevator, and or horizontal stabilator. If the horizontal stabilator system that is on most piper aircraft and some high performance fighter aircraft, then why are so many...

14. ### Bijection between Orbit and Stabilizer

So I know this is the orbit-stabilizer theorem. I saw it in Hungerford's Algebra (but without that name). So we want to form a bijection between the right cosets of the stabilizers and the orbit. Could I define the bijection as this: f: gG/Gx--->gx Where H=G/Gx f(hx)=gx h in H ^ Is that...
15. ### How Does the Normalizer of a Stabilizer Influence Transitivity on Fixed Points?

Homework Statement G acts transitively on S and let H be the stabilizer of s. Show that the normalizer of H, call it N, acts transitively on the fixpoints of H, call it F, where s is some element in S. Homework Equations Two different ways of showing this: Either we show the orbit for any...