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Mission FOTINO: dynamics of movement in an
atmosphere
Zabolotnov Yu.
Parameters of capsule: D  0.4 m , m  4 Kg ,
J x  0.0539 Kg m2 J y  J z  0.0541 Kg m2 - the moments of inertia,
xc  0.028 m - situation of the center of mass.
The entry conditions:
o  2o - angle of entry in an atmosphere,
Vo  7784 m s 1 - initial speed,
H o  110 Km - initial height,
 xo   yo   zo  0 - initial angular speeds.
Dependence Cxa (M )
Fig. 1
Change of parameters of a trajectory at re-entry capsule
FOTINO
Dependence of height of flight (km) on time (s)
H (t )
Fig. 2
Dependence of a high-speed pressure ( Nm2 ) on time (s) q(t )
Fig. 3
Dependence of speed ( km s 1) on time (s) V (t )
Fig. 4
Dependence of a angle of an inclination of a trajectory
(degr) on time (s)  (t )
Fig. 5
Dependence of a angle of attack (degr) on time (s)  (t ) at
 (to )  95o
Fig. 6
Dependence of a thermal flow ( Kjo m2 s 1 ) on time (s) qc (t )
5 1
qc  1.291*10
rn

o
3.25
V 
 
 Vc 
Fig. 7
( Kjo m2 s 1 )
Influence of initial angular speed on meanings of an angle of
attack o  0.7 s 1
Fig. 8
Dependence of the maximal high-speed ( Nm2 ) pressure on
mass ( kg) of capsule
Fig. 9
Dependence maximal of a thermal flow ( Kjo
mass (kg) of capsule
m2 s 1 )
from
Fig. 10
Example of influence of asymmetry (in a situation of the center of
mass yc  0.0028 m and in the moments of inertia J xy  0.00541 Kg m2 )
on a angle of attack of capsule
Fig. 11
Example of influence of asymmetry (in a situation of the centre of mass
yc  0.0028 m and in geometry m y  0.0002 Nm , where the revolting
moment on an axis y) on angle of attack of capsule
Fig. 12
Example of influence of asymmetry (in a situation of the centre of mass
yc  0.0028 m and in geometry m y  0.0002 Nm , where the revolting
moment on an axis Y) on angular velocity  x ( s 1 ) of capsule
(the rotation around of an axis X is observed)
Fig. 13
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