1 Checking a Reachability of Manoeuvring Air Targets by a Missile on Rendezvous Courses (An Attack from a Front Hemisphere)
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D. Gapiński and Z. Koruba
Fig. 5 Flight-path of a target and a missile in vertical and horizontal position: 1—flight-path of a
target during a delay “T”, 2—flight-path of a target after missile launch, 3—flight-path of missile
Fig. 6 Change of an angle γ P and χ P for trajectories presented in Fig. 5
Analysis of Reachability Areas of a Manoeuvring …
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Fig. 7 Cross-sectional overloads of a missile after taking into account a minimum-time algorithm
Fig. 8 Cross-sectional overloads without taking into account a minimum-time algorithm
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D. Gapiński and Z. Koruba
Fig. 9 Angular velocities of a missile after taking into account a minimum-time algorithm
Fig. 10 Angular velocities of a missile without taking into account a minimum-time algorithm
4.1.2
Simulation of Homing for an Example 2
A simulation conducted for a velocity of target flight vC = 300 m ̸s. The location of
a target towards rocket launcher in the time of its detection by OGSS amounted to
xW = 2260 m, yW = 500 m, zW = 50 m. The distance to a target in the time of its
detection by OGSS amounted to: r = 2328 m. The distance to the target at the time
of missile launch amounted to r = 1390 m (Figs. 11 and 12).
Analysis of Reachability Areas of a Manoeuvring …
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Fig. 11 Flight-path of missile and target crossing the reachability border
Fig. 12 Signals controlling an algorithm during simulation presented in Fig. 11
4.1.3
Simulation of Homing for an Example 3
A simulation conducted for a velocity of target flight vC = 320 m ̸s. The location of
a target towards rocket launcher in the time of its detection by OGSS amounted to
xW = − 2450 m, yW = 500 m, zW = 0 m. The distance to a target in the time of its
detection by OGSS amounted to r = 2505 m. The distance to the target at the time
of missile launch amounted to r = 1523 m (Figs. 13, 14, 15, 16, 17 and 18).
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D. Gapiński and Z. Koruba
Fig. 13 Flight-path of a target and a missile on rendezvous courses
Fig. 14 Flight-path of missile and target from Fig. 13 in vertical and horizontal position
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137
Fig. 15 Cross-sectional overloads of a missile after taking into account a minimum-time
algorithm
Fig. 16 Cross-sectional overloads of a missile without taking into account a minimum-time
algorithm
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D. Gapiński and Z. Koruba
Fig. 17 Angular velocities of a missile after taking into account a minimum-time algorithm
Fig. 18 Angular velocities of a missile without taking into account a minimum-time algorithm
4.1.4
Simulation of Homing for an Example 4
A simulation conducted for a velocity of target flight vC = 320 m ̸s The location of a
target towards rocket launcher in the time of its detection by OGSS amounted to
xW = − 2400 m, yW = 500 m, zW = 50 m. The distance to a target in the time of its
detection by OGSS amounted to r = 2451 m. The distance to the target at the time
of missile launch amounted to r = 1476 m (Figs. 19 and 20).
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Fig. 19 Flight trajectory of missile and target after crossing the reachability border
Fig. 20 Cross-sectional overloads of a missile after taking into account a minimum-time
algorithm
4.2
4.2.1
Checking a Reachability of Manoeuvring Air Targets
by a Missile on Pursuit Courses (An Attack from a Back
Hemisphere)
Simulation of Homing for an Example 5
A simulation conducted for a velocity of target flight vC = 300 m ̸s. The location of
a target towards rocket launcher in the time of its detection by OGSS amounted to:
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D. Gapiński and Z. Koruba
xW = 1000 m, yW = 2000 m, zW = 50 m. The distance to a target in the time of its
detection by OGSS amounted to r = 2236 m. The distance to the target at the time
of missile launch amounted to r = 2822 m (Figs. 21, 22, 23 and 24).
Fig. 21 Flight-path of a target and a missile on a pursuit courses
Fig. 22 Flight-path of missile and target from Fig. 21 presented in vertical and horizontal position