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the segment BC (Fig. 2.36) of the flare can be approximated by a circular arc. Let
R be the radius of this arc. Note that ZBOC : y. The appropriate equations of
motion for flight along the arc BC are
W T/2
L-Wcosy= Rg
T-D- Wsiny -0
Then,
T-D
sin y ~ ~
W
Assuming y to be small, we obtain
R - _ T/2W
g~L W~
(2.346)
(2.347)
(2.348)
(2.349)
Assunung that the velocity remains constant on the arc BC and is equal to 'VA and
CL = CL,max,
L = ~p V~SCL,max
= ;:p(1.3 Vsran)2scL,max
- 1.69 W
R = O+r99g
S2 - g:Ry
(2.350)
(2.351)
(2.352)
Estimation of landing ground run. The forces acting on the aircraft during
the ground run are shown in Fig. 2.37.
Let
Fa = TR + D + p,(W - L)
L
Fig. 2-37 Forces acting on an airplane duringlanding run.
(2.353)
154 PERFORMANCE, STABILITY, DYNAMICS, AND CONTROL
be the net retarding force during the ground run. Here, TR is the reverse thrust.
Then,
W iV dV = -Fa (2.354)
g ds
Wd( V 2) (2.355)
ds=- 2gF
As before, we assume that the angle of attack during the ground runis held constant
and the net retarding force Fc{ varies as the square of the velocity as given by
Fa = Fo + F V: F V2 (2.356)
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