Planes have parts to stay steady.
Planes use parts to stay steady. 
An aircraft stabilizer is a part that helps a plane fly straight. 

An aircraft stabilizer is an aerodynamic surface that helps a plane fly steadily.
Horizontal stabilizers work by creating a vertical force at a distance. This force helps maintain the aircraft in longitudinal balance, also called trim. This balance keeps the pitch moments around the center of gravity at zero. The force changes based on flight conditions like wing flaps or fuel levels. A stabilizer also provides longitudinal static stability. This means the plane will try to return to its trimmed state if disturbed. It helps the plane keep a constant angle relative to the air.
Different planes use different ways to build these surfaces. The most common way is a fixed tail with a hinged elevator. The pilot moves the elevator to change the pitch of the plane. Some light aircraft, like the Piper PA-28 Cherokee, use a stabilator. A stabilator is one single piece that moves all at once. This is helpful for supersonic aircraft to avoid extra drag. Other planes use electronic flight controls to act as motion dampers. These can be located anywhere on the aircraft to keep it steady.
There are many special ways to arrange these parts. Some planes use a three-surface design like the Piaggio P.180 Avanti. 

Some designs combine different jobs into one shape. A V-tail uses two surfaces set at an angle. The Beechcraft Bonanza is a famous example of this design. 
An aircraft stabilizer is an aerodynamic surface used to provide stability and control.
Horizontal stabilizers are essential for maintaining longitudinal balance, which is often called trim. To achieve trim, the stabilizer exerts a vertical force at a distance from the aircraft's center of gravity. This force ensures that the sum of the pitch moments is zero. The amount of force needed changes constantly during a flight. For example, the force varies based on the aircraft's lift coefficient and the deflection of wing flaps. The center of gravity also shifts as the aircraft consumes fuel or carries different loads.
Beyond balancing the plane, horizontal stabilizers provide longitudinal static stability. Static stability is the tendency of an aircraft to return to its trimmed condition if it is disturbed. This allows the aircraft to maintain a constant pitch angle relative to the airstream without constant pilot input. For a conventional wing to be stable, the center of gravity must be ahead of the center of pressure. Because of this, a stabilizer located at the rear of the aircraft must produce a downward force. The elevator is the specific part used to control the pitch axis.
There are several ways to configure a horizontal stabilizer. The most common is the conventional tailplane. This setup uses a fixed surface with a hinged aft section called an elevator. Some light aircraft, such as the Piper PA-28 Cherokee, use a different design called a stabilator. A stabilator is a single, all-moving surface with no separate elevator. This design is also common in supersonic aircraft to reduce drag. Many large airliners use a trimmable tailplane combined with independent elevators. In the Boeing 737, an electrically operated jackscrew powers the stabilizer trim system.
Some aircraft use more complex arrangements like the three-surface configuration. The Piaggio P.180 Avanti is a notable example of this type. 

Other aircraft are designed to be tailless. The Concorde is a famous example of a tailless configuration. 
Vertical stabilizers provide directional stability, which manages yaw. This is usually done with a fixed fin and a movable rudder. When a horizontal gust of wind hits the plane, yaw stability causes the aircraft to turn into the wind. Some aircraft lack a vertical stabilizer entirely. They use wing sweep or dihedral to provide directional stability instead. Control is then managed by adding drag to one side using spoilers or split ailerons. Some designs even combine both horizontal and vertical roles into a V-tail. 
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