Dynamics of Aircraft Flight

4 Trihedron

4.1. Writing convention

The change of reference matrix making it possible to go from reference A to reference B in the axes of reference A is noted Matrix A/B in the rest of the book.

For example, the position of the aircraft in the aircraft frame E with respect to the local geographic frame can be written in the axes of the aircraft frame using the change of frame matrix Matrix _E/LGT given in section 4.5.1.

4.2. Definitions of trihedrons

4.2.1. Definition of a trihedron or frame of reference

The association of the space frame and the time frame constitutes a frame of reference (R).

In the remainder of the book, we will note, for simplicity, the frame of reference (R) as follows:

4.2.2. Galilean trihedron

In physics, a Galilean or inertial frame of reference is a frame in which an isolated object (on which no force is exerted or on which the resultant of the forces is zero) is in uniform rectilinear translational movement (immobility being a particular case of uniform rectilinear movement): the speed of the body is constant (over time) in direction and in norm.

This means that the principle of inertia, which is stated in Newton’s first law – “every body perseveres in the state of rest or of uniform straight-line motion in which it finds itself, unless some force ...