The dynamic equations derive from Newton's Second Law,
,
and the analogous equation for angular motion. Resolving
these equations along body axes, and including terms to account for
centrifugal forces due to the rotating body reference frame, yields
the dynamic equations of motion. For a symmetric airplane
(
I_{xy}=I_{yz}=0), the dynamic equations are given by
Equations 10-15.
L' | = | L - (I_{zz}-I_{yy})qr - I_{xz}pq | |
N' | = | N - (I_{yy}-I_{xx})pq - I_{xz}qr |
Equations 10-15 introduces forces and moments (X, Y, Z, L, M, N). Because of these terms, the simulator must calculate the resultant force and moment on the airplane before it can calculate the time derivatives.