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  1. The principal axes of rotation imply three reference planes, each perpendicular to an axis: Normal plane, or yaw plane; Transverse plane, lateral plane, or pitch plane; Longitudinal plane, or roll plane; The three planes define the aircraft's center of gravity.

  2. A three dimensional Cartesian coordinate system, with origin O and axis lines X, Y and Z, oriented as shown by the arrows. The tick marks on the axes are one length unit apart. The black dot shows the point with coordinates x = 2, y = 3, and z = 4, or (2, 3, 4).

  3. www.basicairdata.eu › knowledge-center › background-topicsCoordinate System - Basic Air Data

    The X-axis of the body frame is pointed toward the aircraft nose, the Y-axis is along the right wing and Z-axis points down. In the case where the aircraft is not rotated, the body axes have the same orientation as NED axes.

  4. \(\phi\) - The angle measured in the \(y-z\) plane of the body-axis system between the \(y\)-axis and the horizontal reference plane. Also known as the roll angle, it is a measure of the rotation about the \(x\)-axis.

  5. courses.cit.cornell.edu › mae5070 › DynamicEquationsChapter 4

    the z-axis lies in the symmetry plane of the vehicle, is perpendicular to the x-axis, and points down; the y-axis is perpendicular to the symmetry plane of the vehicle and points out the right wing. The precise orientation of the x-axis depends on the application; the two most common choices are:

  6. Let ~v be the velocity vector of the aircraft with respect to the free-stream and expressed in the body-fixed frame. If ~v is projected onto the x-z plane, then α is the angle between the x-axis and this projection.

  7. dt. dx(t) = Fx(t) + Gu(t) + Lw(t) dt. Linear equations of motion. Simplify computation of flight paths and solutions. Define modes of motion. Provide basis for control system design and flying qualities analysis.

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