The Simulation of Missile Kinetics with Distance &Time Depended Speed on Moving Object Initiated from Space

Abstract

The simulation about missile kinetic behavior is going to search the attacked moving object in this study. The speed and distance with needed time could be searched and find some information about it. Firstly the OA value is going to increase when the time increases. Secondly the OA is going to decrease from 800m to 100m while object speed enhances from o.1Km/s to 1Km/s that means that the OA with maximum 1Km will follow minimum speed 0.1Km/s accordingly. Thirdly the time is going to decrease from 6s to 0 while object speed enhances from o.1Km/s to 1Km/s. correspondingly the attacking time will demand 6s when object speed becomes 0.1Km/s.
Keywords: simulation; missile kinetics; distance; time; speed; movement’s object

Introduction

The missile as an important weapon could be used in defence department. Specially in war period it can play an significant role on modern inter-country’s conflict, therein the corresponding emphasis will be taken in world’s main countries. The missile has been searched in advanced assembly to attack enemy’s device whose meaning is significant from the strategic view. So we must search it and make it to be more aggressive continuously by engineer and scientist for planning new functions to be precision attack which can be put urgent position. In this paper its Kinematics establishment can attack a moving object like ship, flighter, missile etc. which may be establishing simulation equation to analyze its precise problem because the accurate attack may promote its effectiveness. So the research could investigate that factor to look forwards to seeking important message for us to search continuously [1-4]. Through this research the important parameters should be sought and found for making sure the demand from engineer and scientist. For the sake of making low cost weapon like missile the relevant high performance should be cultivated and developed, which has been destination of this paper in brief and concluded in here. We have found the distance and time depended speed relations from the simulating results. In short the missile or plane is able to initiate from space one point to realize the attack destination, which can be simulated here. At the same time the corresponding parameters could be regulated to finish the attack task precisely. The precision will be an important mission in attacking moving target that needs many simulation or practice to prove constantly.

Modeling for missile Kinetics

It is supposed that one object in y axis movement with v speed. We can establish the modelling with below steps for attacking the object in B point which is vertical to y axis shown as Figure 1. The A point will be missile starting one while B point is able to attack placement. There qpresents angle in x-z coordinate; fpresents angle in OA and y axis; a presents OA’ resolved by OA in x-y one

Since OB=OA¢sina —(1)

and OA¢=OAcosq —(2)

So OB=OA·sina·cosq —(3)

On the other hand

Due to OB==vt —(4)

It has  —(5)

On the other side, since  —(6)

So it has   —(7)

And   —(8)

Here in x-y-z coordinate system A presents x-y-z coordinate system one point and A¢ presents in x-y one while A¢¢ indicates A’ resolution in x axis. At last in y axis there is a moving object with v speed. The t is the passing time to hit the target object at B point.

Figure 1 The missile attacked kinematic resolution diagram in x-y-z three coordinate.

Figure 2 The missile OA distance and demanding time relationship within q=30°, a=35°.

In Figure 2 it is shown that missile OA distance is about to enhance from 100m to 800m in light of demanding time for missile to hit the moving target from 0 to 6s. it is supposed value for causing below parameter results.

Figure 3 The relation of OA distance and moving object speed in moving object with three coordinate within q=30°, a=35°.

As shown in Figure 3 the OA distance is going to decrease totally from 800m to 100m in light of increasing moving object speed from 70m/s to 500m/s. Furthermore the OA distance will become short to 100m when the moving object speed attains 1.37Mch i.e. 500m/s.

Figure 4 The relation of missile attacking time and moving object speed in moving object with three coordinate within q=30°, a=35°.

Figure 4 shows that the missile attacking time will become decreasing from 6s to 0 when the moving object speed enhances from 60m/s to 500m/s. According to this figure the needed time to hit moving object from initiation to hitting the target is able to become only 0.2s when the missile speed is to be 500m/s i.e. 1.37 Mach which expresses that the more than 1 Mach will be bring about high speed to hit.

Figure 5 The relation of missile attacking time and moving object speed in moving object with three coordinate within b=30°, f=35°.

Figure 5 shows that the missile attacking time will become decreasing from 6s to 0 when the moving object speed enhances from 150m/s to 1,150m/s. According to this figure the demanding time to hit from initiation to hitting the target is able to become only 0.5s when the missile speed is to be 500m/s i.e. 1.37 Mach which expresses that the more than 1 Mach will be bring about high speed to hit while the demanding time to hit will become only 0.1s in light of 1,150m/s. It is said again that the speed more than 2Mach can not be controlled well here.

Figure 6 The relationship between AB distance and moving object time in three coordinate within b=30°, f=35°.

Figure 6 shows that AB distance is able to be decreasing from 800m to 150m while the moving object speed enhances from 120m/s to 1,150m/s i.e. 3.15 Mach respectively. It means that the little distance like 150m distance with the moving object will be needed in order to hit the moving object effectively when the object speed attains 3.15 Mach high one. Another one needs to be explained if the flighter or missile has moved with 1 Mach i.e. 360m/s the distance between our flighter or missile needs 210m to 450m distance to initiate attack which is necessary according to this study. In short the three parameters are concluded here, and find some message between them. The OA, AB distance and needed time with moving object speed changing can be solved in this study. The changing the angle can bring over data’s some changes. The angles change could not process in this study so it can not know to bring over what changes. The proof can be found from parameters changing of relevant equation in next one.

Conclusion

The OA, AB and moving time depended speed is able to be solved through this study. The four parameters can be clarified to attack a moving object. The speed and distance with time could be searched and find some information about it. Firstly the OA value is going to increase when the moving time increases. Secondly the OA is going to decrease from 800m to 100m while object speed enhances from o.1Km/s to 1Km/s that means that the AB with maximum 0.8Km will follow minimum speed 0.1Km/s accordingly. Thirdly the time is going to decrease from 6s to 0 while object speed enhances from o.1Km/s to 1Km/s. correspondingly the attacking time will demand  from 6s to less one when object speed becomes 0.1Km/s. Hereby the simulation about missile kinematic behavior is going to search the attacked moving object in this study.

Acknowledgements

This work had been partially sponsored by the KNRF (Korea National Research Foundation), under the Specified Base Program granted No 96-0300-11-01-3.

References

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