Aerospace Engineering e-Mega Reference

The rigid-body velocity with respect to a reference system on the ground is

V ¼ V

N

þ U  r; (2.1.13)

where V

N

is the velocity of the center of gravity; U ¼ (

_

q,

_

f;

_

j) is the rotation vector centered at the CG; and (x, y, z)

is the vector distance between the reference system on the ground and the CG. The linear acceleration of the aircraft

is found from the derivation of Eq. 2.1.13,

a ¼

vV

N

vt

þ

v

vt

ðU  rÞ: (2.1.14)

These are general equations. However, for practical reasons, in the following chapters we will consider U as the total

velocity in the flight path, V the total velocity parallel to the ground and v

c

the vertical velocity. If the aircraft

accelerates ...