MOTION OF CAPSULE FOTINO
ON THE ATMOSPHERIC SECTION
1. Motion of a center of mass of the capsule
At a solving the
factor of a drag force of the capsule 
was determined under the formulas submitted Anton
Ljaskin:
at a flight
altitude 
m:
,
at 
m:
,
at 
m:
at a Mach number 
(
, 
- a velocity of flight, 
- a sound velocity),
at 
,
at 
,
at 
,
at 
and a Reynold's number 
,
at and 
.
The Reynold's number is determined
by formula:
,
where
- diameter of the capsule, 
- coefficient of viscosity which is determined
by formula:
at 
m,
at 
m.
Fig.
1 shows the relation of velocity head 
to a flight altitude of the capsule
, fig. 2 and fig. 3
- relation of a velocity of flight to an altitude for initial data:
(1) - 
m, 
m/s, an angle of inclination
of a trajectory 
deg, 
m, mass of the capsule 
kg.
(2) - m, m/s, 
deg, m, kg.
(3) - m, m/s, deg, m, 
kg.
(4) - m, m/s, deg, m, kg.
(5) - m, m/s, deg, m, 
kg.
(6) - m, m/s, deg, m, kg.
2. Motion of the capsule about
a center of mass
Fig. 4 shows the relation of a
spatial angle of attack 
to a flight altitude of the capsule , fig. 5 - relation of a
velocity of change of a spatial angle of attack 
to an altitude for initial data: m, m/s, deg, m, kg, factor of static stability 
m, longitudinal moment of inertia
about a center of mass 
kg/m2, transversal
moments of inertia about a center of mass 
kg/m2, 
êã/ì2, initial value of a spatial angle of attack 
deg, initial value of
transversal angular velocity 
, initial value of
longitudinal angular velocity 
.
Fig. 6 shows the relation of a
spatial angle of attack to a flight altitude of the capsule , fig. 7 - relation of a
velocity of change of a spatial angle of attack to an altitude for initial data: m, m/s, deg, m, kg, m, kg/m2, kg/m2, kg/m2, deg, 
deg, .
Fig. 8 shows the relation of a
spatial angle of attack to a flight altitude of the capsule for initial data: m, m/s, deg, m, kg, m, kg/m2, kg/m2, kg/m2, deg, , 
deg.
Fig. 9 shows the relation of a
spatial angle of attack to a flight altitude of the capsule for initial data: m, m/s, deg, m, kg, m, 
kg/m2, 
kg/m2, 
kg/m2, deg, 
, .
Fig. 10 shows the relation of a
spatial angle of attack to a flight altitude of the capsule , fig. 11 - relation of a
velocity of change of a spatial angle of attack to an altitude for initial data: m, m/s, deg, m, kg, m, kg/m2, kg/m2, kg/m2, 
deg, , .
Fig. 12 shows the relation of a
spatial angle of attack to a flight altitude of the capsule , fig. 13 - relation of a
velocity of change of a spatial angle of attack to an altitude for a case when the capsule hovering in
position of a unstable equilibrium 
deg and is in it up to the
moment of reaching of an altitude 
m. The given case of motion is
implemented at starting conditions: m, m/s, deg, m, kg, m, kg/m2, kg/m2, kg/m2, deg, 
deg, .
