Free trajectory construction method for specifying launching elevation angle

Abstract

The invention discloses a free trajectory construction method with a specified launching elevation angle. The method comprises the steps of firstly, orderly calculating the earth-fixed rectangular coordinate vectors of a launching point and a target point, the difference between the earth latitude and the geocentric latitude, a horizontal included angle and the difference between the ratio of geocentric radial modes of the point A and the point B and 1; solving the variables, such as the launching speed of a forward trajectory or a reverse trajectory in an orbit coordinate system, the launching speed of the forward trajectory or the reverse trajectory in an earth-fixed coordinate system, the number sigma of trajectories / orbits, flight time and the like in the iterative initial state and the two-body motion model, wherein the newly solved flight time is T *; enabling T to be equal to T *, repeatedly iteratively calculating the launching speed of the missile and the like, ending iteration until the absolute value of (T-T *) is smaller than a set threshold St, finally obtaining the launching speed and flight time T of the missile under the two-body motion model, and outputting the design parameters vp, vr, T and sigma. According to the present invention, the forward trajectory and the reverse trajectory can be constructed at the specified launching elevation angles under a two-body motion model and a kinetic model considering the J2 perturbation of an earth gravitational field respectively, and then all trajectories from the launching points to the target points are obtained by traversing the launching elevation angles.

Description

technical field [0001] The invention belongs to the ballistic structure technology for solving ballistic missiles under the framework of celestial mechanics, in particular to a free ballistic structure method with a specified launching elevation angle. Background technique [0002] Ballistic structure is the basis of ballistic research and element design. The full ballistic is composed of active section, free flight section and reentry section. The full ballistic structure is usually based on the specific performance parameters of the missile. Its realization requires some difficult-to-know technical parameters and physical conditions, and the calculation process is complex and time-consuming, which cannot meet the general ballistic research and application requirements. In contrast, the free-flight segment, which occupies most of the entire trajectory, is simple in force, mainly due to the gravitational force of the earth on the center of mass of the missile body, and the d...

AI Technical Summary

Problems solved by technology

Method 1 does not give the missile construction method considering the perturbation force, nor does it solve the ballistic construction method when the launching point and the target point have different geocentric radial lengths, and cannot meet the requirements of high-precision ballistic construction

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