- roll Euler angle
- см. roll angle
Авиасловарь. М.А.Левин. 2004.
Авиасловарь. М.А.Левин. 2004.
Euler angles — The Euler angles were developed by Leonhard Euler to describe the orientation of a rigid body (a body in which the relative position of all its points is constant) in 3 dimensional Euclidean space. To give an object a specific orientation it may… … Wikipedia
Conversion between quaternions and Euler angles — Spatial rotations in three dimensions can be parametrized using both Euler angles and unit quaternions. This article explains how to convert between the two representations. Actually this simple use of quaternions was first presented by Euler… … Wikipedia
Rotation matrix — In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix rotates points in the xy Cartesian plane counterclockwise through an angle θ about the origin of the Cartesian… … Wikipedia
Orientation (geometry) — This article is about the orientation or attitude of an object in space. For orientation as a property in linear algebra, see Orientation (vector space). Changing orientation of a rigid body is the same as rotating the axes of a reference frame… … Wikipedia
Rotation representation (mathematics) — In geometry a rotation representation expresses the orientation of an object (or coordinate frame) relative to a coordinate reference frame. This concept extends to classical mechanics where rotational (or angular) kinematics is the science of… … Wikipedia
Quaternions and spatial rotation — Unit quaternions provide a convenient mathematical notation for representing orientations and rotations of objects in three dimensions. Compared to Euler angles they are simpler to compose and avoid the problem of gimbal lock. Compared to… … Wikipedia
Bicycle and motorcycle dynamics — A computer generated, simplified model of bike and rider demonstrating an uncontrolled right turn. An … Wikipedia
Precession — For other uses, see Precession (disambiguation). Precession of a gyroscope Precession is a change in the orientation of the rotation axis of a rotating body. It can be defined as a change in direction of the rotation axis in which the second… … Wikipedia
Tait-Bryan rotations — The Tait Bryan rotations, named after Peter Guthrie Tait and George Bryan. are three elemental rotations about each one of the principal axes of a body (but not necessarily the principal axes of inertia). For a craft moving in the positive x… … Wikipedia
Eulersche Winkel — oder auch Eulerwinkel sind eine Möglichkeit zur Beschreibung der Orientierung (Winkellage) von Objekten im dreidimensionalen Raum. Es handelt sich um drei Winkel, welche jeweils eine Drehung (Rotation) um bestimmte Achsen beschreiben und so eine… … Deutsch Wikipedia
Rotation (mathematics) — Rotation of an object in two dimensions around a point O. In geometry and linear algebra, a rotation is a transformation in a plane or in space that describes the motion of a rigid body around a fixed point. A rotation is different from a… … Wikipedia