L equals Lift.
D equals Drage.
W equals Weight.
F equals Thrust.
m equls Aircraft mass.
a equals Acceleration.

Equations: L cosine (c) plus F sine (c0 minus D sine (c) minus W equals m a sub vertical.

F cosine (c) minus L sine (c) minus D cosine (c) equals m a sub Horizontal.

Definition of Excess Thrust: F minus D equals F sub ex.

L cosine (c) plus F sub ex sine (c) minus W equals m a sub Vertical.

F sub ex cosine (c) minus L sine (c) equals m a sub Horizontal.