RU2541934C1 - Method of determining time of flight of antiaircraft guided missile from starting point to collision with air target - Google Patents

Abstract

FIELD: weapons and ammunition.

SUBSTANCE: dependence of the average speed Vav of flight of antiaircraft guided missile of the specified type on the time T of its flight is determined, the initial value of the time of flight tp0 is chosen equal to half the range of possible values of this time, the primary value Vav1 of the average flight speed of antiaircraft guided missile is determined, corresponding to the chosen initial value tpo of the time of its flight, the coordinates, speed and course of air target Vt are measured, the mutual distance ro between the starting point of the antiaircraft guided missile and the air target is determined, the angle φ0 of sight between the course of the air target and the projection of the mutual distance between the starting point of the antiaircraft guided missile and the air target is determined, then by successive iterations the value of the time of flight of the antiaircraft guided missile from the starting point to collision with the air target is determined.

EFFECT: improvement of accuracy of determining the time of flight of antiaircraft guided missile.

1 tbl

Description

The invention relates to air defense systems and can be used in anti-aircraft missile systems in the formation of target designations for anti-aircraft guided missiles.

In modern air defense systems, the formation of target designations for anti-aircraft guided missiles in anti-aircraft missile systems uses the times of their flight from the launch point to the meeting with the corresponding air targets [1].

The flight time of each anti-aircraft guided missile from the launch point to the meeting with an air target can be determined based on well-known physical laws if the mutual distance between the launch point of the anti-aircraft guided missile and the air target is known, as well as the total speed of approach of the anti-aircraft guided missile and the air target.

However, the well-known method of determining the flight time of an anti-aircraft guided missile from a launch point to a meeting with an air target as a quotient from dividing the mutual distance between the starting point of an anti-aircraft guided missile and an air target by the total approach speed of an anti-aircraft guided missile and an air target can provide the required accuracy in determining the time of flight of an anti-aircraft missile guided missile from the launch point to the meeting with an air target only subject to the constancy of the flight speeds of the anti-aircraft guided missile and air goals.

In practice, the flight speeds of various types of anti-aircraft guided missiles substantially depend on the time (duration) of their flight, therefore, when using the well-known method for determining the flight time of an anti-aircraft guided missile from a launch point to a meeting with an air target, it is necessary to use the average speed of an anti-aircraft guided missile of a given type for the entire range of values of its flight time, which leads to significant errors in determining the flight time of an anti-aircraft guided missile from a point her launch before meeting with an air target.

The technical result consists in increasing the accuracy of determining the flight time of an anti-aircraft guided missile from its launch point to a meeting with an air target.

To achieve the technical result, the following operations are introduced in the method for determining the flight time of an anti-aircraft guided missile from the launch point to the meeting with an air target: the dependence of the average flight speed of an anti-aircraft guided missile of a given type on its flight time for the entire range of its flight time values is determined in advance using an experimental method choose the initial value of the flight time of the anti-aircraft guided missile from the point of its launch to the meeting with an air target equal to half the range of possible the values of the flight time of the anti-aircraft guided missile, determined using the dependence of the average flight speed of the anti-aircraft guided missile of a given type on the value of its flight time, the primary value of the average flight speed of the anti-aircraft guided missile from the start point to the meeting with the air target, corresponding to the selected initial value of its flight time, measure using radar means the coordinates, speed and course of the air target determine the mutual distance between the start point of the anti-aircraft control the missile and the air target, determine the angle of sight between the course of the air target and the mutual distance between the launch point of the anti-aircraft guided missile and the air target on the plane tangent to the earth's sphere at the launch point of the anti-aircraft guided missile, then using sequential iteration using the dependence of the average flight speed of the anti-aircraft guided missiles of a given type from the time of its flight determine the value of the flight time of the anti-aircraft guided missiles from the launch point to the meeting with the air target according to the formula

where tpi is the value of the flight time of the anti-aircraft guided missile from the launch point to the meeting with an air target, determined at the i-th iteration,

ro - the value of the mutual distance between the starting point and the air target,

Vc - the value of the speed of the air target,

φo is the value of the angle of sight between the course of the air target and the mutual distance between the launch point of the anti-aircraft guided missile and the air target on the plane tangent to the earth's sphere at the launch point of the anti-aircraft guided missile,

Vcpi is the value of the average flight speed of the anti-aircraft guided missile used at the i-th iteration, obtained using the dependence of the average flight speed of the anti-aircraft guided missile of a given type on its flight time for the value tp (i-1) of the flight time of the anti-aircraft guided missile from its launch point to encounters with an air target defined at the previous (i-1) th iteration, with each subsequent iteration first determining the updated value of the average flight speed of the anti-aircraft guided missile for the one determined at the previous iterating the values of the time of its flight from the launch point to the meeting with the air target, and then determine the updated value of the flight time of the anti-aircraft guided missile from the starting point to the meeting with the air target for the specified value of the average speed of its flight.

The proposed method for determining the flight time of an anti-aircraft guided missile from a launch point to a meeting with an air target is characterized by using the dependence of the average flight speed of an anti-aircraft guided missile of a given type on its flight time obtained experimentally, the flight time of an anti-aircraft guided missile itself from a launch point to an aerial meeting the goal is determined by sequentially clarifying the values of this until accuracy is achieved within a second with the number of iterations not more than five.

This provides a positive technical result - improving the accuracy of determining the flight time of an anti-aircraft guided missile from its launch point to a meeting with an air target.

The essence of the proposed method for determining the flight time of an anti-aircraft guided missile from the launch point to the meeting with an air target is explained on the example of one of the types of anti-aircraft guided missiles.

The dependence of the average flight speed Vcp of an anti-aircraft guided missile of a given type on the time T of its flight for the entire range of values of its flight time is given in Table 1.

Table 1 Dependence of the average flight speed of an anti-aircraft guided missile of a given type on the value of its flight time T, s Vcp, m / s T, s Vcp, m / s T, s Vcp, m / s T, s Vcp, m / s one 80.7 13 512.9 25 593.7 37 703.0 2 152.2 fourteen 522.5 26 602.1 38 709.5 3 215.3 fifteen 530.5 27 611.0 39 715.1 four 270.4 16 537.4 28 620.4 40 720.0 5 318.3 17 543.4 29th 630.1 41 724.2 6 359.4 eighteen 549.1 thirty 640.0 42 727.8 7 394.6 19 554.5 31 650.0 43 731.3 8 424.3 twenty 560.0 32 659.9 44 734.8 9 449.2 21 565.8 33 669.6 45 739.0 10 470.0 22 571.9 34 678.9 46 744.0 eleven 487.2 23 578.6 35 687.6 47 752.0 12 501.3 24 585.8 36 695.7 48 760.0

The target flies at a speed of Vc = 200 m / s, the mutual distance between the launch point of the anti-aircraft guided missile and the air target is ro = 35000 m, the angle of sight between the course of the air target and the projection of the mutual distance between the launch point and the air target on a plane tangent to the earth's sphere in the starting point of the anti-aircraft guided missile, φо = 0.

The proposed method for determining the flight time of anti-aircraft guided missiles from the launch point to the meeting with an air target involves the following operations:

determine in advance by an experimental method the dependence of the average flight speed Vcp of an anti-aircraft guided missile of a given type on the time T of its flight for the entire range of values of its flight time (see Table 1);

choose the initial value of the time tpo = 24 s flight of the anti-aircraft guided missile from the launch point to the meeting with an air target equal to half the range of possible values (from 0 s to 48 s) of the time T of the flight of the anti-aircraft guided missile (i.e., the average flight time of the anti-aircraft guided missile in table 1);

средней скорости полета зенитной управляемой ракеты от точки старта до встречи с воздушной целью, соответствующее выбранному начальному значению tpo=24 с времени ее полета;determine using the dependence of the average flight speed Vcp of an anti-aircraft guided missile of a given type on the time T of its flight (see table 1) the primary value $$Vc{p}_{\mathrm{one}}=\frac{585.8m}{\mathrm{from}}$$

the average flight speed of the anti-aircraft guided missile from the launch point to the meeting with an air target, corresponding to the selected initial value tpo = 24 from the time of its flight;

using coordinates, measure the coordinates, speed (Vc = 200 m / s) and the course of the air target;

determine the mutual range (ro = 35000 m) between the launch point of the anti-aircraft guided missile and the air target;

determine the angle (φo = 0) of the sight between the course of the air target and the projection of the mutual distance between the launch point of the anti-aircraft guided missile and the air target on the plane tangent to the earth's sphere at the launch point of the anti-aircraft guided missile;

then, using successive iterations using the dependence of the average flight speed of the anti-aircraft guided missile of a given type on the time 1 of its flight (see Table 1), determine the value of the flight time of the anti-aircraft guided missile from the launch point to the meeting with the air target using the formula

средней скорости полета зенитной управляемой ракеты время ее полетаIn the first iteration with the primary value $$Vcp\mathrm{one}=585,8\frac{m}{\mathrm{from}}$$

the average flight speed of an anti-aircraft guided missile during its flight

tp1 = 35000 (200-385.8) / (2002-385.82) = 45 s.

.The time tp1 = 45 s from the flight of an anti-aircraft guided missile from the launch point to the meeting with an air target in Table 1 corresponds to the average flight speed of an anti-aircraft guided missile $$Vcp2=739\frac{m}{\mathrm{from}}$$

.

средней скорости полета зенитной управляемой ракеты время ее полетаAt the second iteration, with the value $$Vcp2=739\frac{m}{\mathrm{from}}$$

the average flight speed of an anti-aircraft guided missile during its flight

tp2 = 35000 (200-739) / (2002-7392) = 37 s.

.The time tp2 = 37 from the flight of an anti-aircraft guided missile from the launch point to the meeting with an air target in Table 1 corresponds to the average flight speed of an anti-aircraft guided missile $$Vcp3=703\frac{m}{\mathrm{from}}$$

.

средней скорости полета зенитной управляемой ракеты время ее полетаAt the third iteration, with the value $$Vcp3=703\frac{m}{\mathrm{from}}$$

the average flight speed of an anti-aircraft guided missile during its flight

tp3 = 35000 (200-703) / (2002-7032) = 39 s.

.The time tp3 = 39 from the flight of an anti-aircraft guided missile from the launch point to the meeting with an air target in Table 1 corresponds to the average flight speed of an anti-aircraft guided missile $$Vcp\mathrm{four}=715,\mathrm{one}\frac{m}{\mathrm{from}}$$

.

средней скорости полета зенитной управляемой ракеты время ее полетаAt the fourth iteration, with the value $$Vcp\mathrm{four}=715,\mathrm{one}\frac{m}{\mathrm{from}}$$

the average flight speed of an anti-aircraft guided missile during its flight

tp4 = 35000 (200-715,1) / (2002-715,12) = 38 s.

.The time tp4 = 38 from the flight of an anti-aircraft guided missile from the launch point to the meeting with an air target in Table 1 corresponds to the average flight speed of an anti-aircraft guided missile $$Vcp5=709,5\frac{m}{\mathrm{from}}$$

.

средней скорости полета зенитной управляемой ракеты время ее полетаAt the fifth iteration, with the value $$Vcp5=709,5\frac{m}{\mathrm{from}}$$

the average flight speed of an anti-aircraft guided missile during its flight

tp5 = 35000 (200-709.5) / (2002-709.52) = 38 s.

The results of the fifth and fourth iterations coincided.

As a result, the time (tp = 38 s) of the flight of the anti-aircraft guided missile from the launch point to the meeting with the air target was determined in five iterations with an error of not more than one second.

Literature

1. Neupokoev F.K. Shooting anti-aircraft missiles. - M .: Military Publishing House, 1980, p. 227-232.

Claims (1)

A method for determining the flight time of an anti-aircraft guided missile from the launch point to a meeting with an air target, characterized in that the experimental average determines the dependence of the average flight speed of an anti-aircraft guided missile of a given type on its flight time for the entire range of its flight time, select the initial value of the flight time anti-aircraft guided missile from the point of its launch to a meeting with an air target equal to half the range of possible values of the flight times of the anti-aircraft guided missile, using the dependence of the average flight speed of the anti-aircraft guided missile of a given type on the value of its flight time, the primary value of the average flight speed of the anti-aircraft guided missile from its launch point to the meeting with the air target, corresponding to the selected initial value of its flight time, measure the coordinates using radar the speed and course of the air target, determine the mutual distance between the launch point of the anti-aircraft guided missile and the air target, determine the angle of sight between the course of the air target and the reciprocal distance between the launch point of the anti-aircraft guided missile and the air target, then using successive iterations using the dependence of the average flight speed of the anti-aircraft guided missile of a given type on its flight time, determine the value of the flight time of the anti-aircraft guided missile from its launch point to the meeting with aerial target according to the formula

where tpi is the value of the flight time of the anti-aircraft guided missile from its launch point to the meeting with an air target, determined at the i-th iteration,
ro is the value of the mutual range between the launch point of the anti-aircraft guided missile and the air target,
Vc - the value of the speed of the air target,
φo is the value of the angle of sight between the course of the air target and the mutual distance between the launch point of the anti-aircraft guided missile and the air target,
Vcpi is the value of the average flight speed of the anti-aircraft guided missile used at the i-th iteration, obtained using the dependence of the average flight speed of the anti-aircraft guided missile of a given type on its flight time for the value tp (i-1) of the flight time of the anti-aircraft guided missile from its launch point to encounters with an air target defined at the previous (i-1) th iteration, with each subsequent iteration first determining the updated value of the average flight speed of the anti-aircraft guided missile for the one determined at the previous iterating the values of the time of its flight from the launch point to the meeting with the air target, and then determine the updated value of the flight time of the anti-aircraft guided missile from the starting point to the meeting with the air target for the specified value of the average speed of its flight.