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1 Checking a Reachability of Manoeuvring Air Targets by a Missile on Rendezvous Courses (An Attack from a Front Hemisphere)

1 Checking a Reachability of Manoeuvring Air Targets by a Missile on Rendezvous Courses (An Attack from a Front Hemisphere)

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132



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 …



133



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



134



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 …



135



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).



136



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



Analysis of Reachability Areas of a Manoeuvring …



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



138



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).



Analysis of Reachability Areas of a Manoeuvring …



139



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:



140



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



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