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  1. 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).

  2. 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.

  3. Transformation matrix for converting forces, velocities or accelerations from earth axis system, also known as inertial, \([X, Y, Z]\), to body coordinates \([x, y, z]\).

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

    The X-axis points to the intersection between the Equator and the Prime meridian (latitude 0°, longitude 0°), the Y-axis points to 0° latitude and 90° longitude and the Z-axis points to the North Pole (latitude 90° along the axis of rotation of the Earth).

  5. z denote rotations about the Xaxis, Y axis and Zaxis, respectively. We can go from one reference frame to any other reference frame, using at most three Euler angles.

  6. On a plane, the positive x direction is pointing in the direction of the nose, the positive y direction is pointing along the right wing, and the positive z direction is pointing downwards towards the ground. An image of this can be found in Figure 1. Fig. 1 - Airplane Axes. In Figure 1, there are a few things going on.

  7. Aircraft body axes is a right-handed Cartesian axis set, centred at the aircraft centre of gravity. x is defined positive along the aircraft longitudinal axis, positive forward. y is positive over the starboard wing. z is positive down, in accordance with the right hand rule.

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