A Study on The Precise Location of Multiple Rocket Debris Based on Simulated Annealing Algorithm

Abstract

Rocket debris localization techniques can significantly improve the safety of the fallout zone, reduce potential damage to the environment and speed up emergency response, while promoting the sustainable development of rocket technology. To this end, this paper explored how to localize multiple airborne rocket debris through sonic boom signals captured by ground-based monitoring equipment. Firstly, this paper preprocessed the known data and transformed the position of each monitoring device into 3D coordinates, and then established a mathematical model based on time-difference localization for analysis, and determined that at least four monitoring devices are required. For a single wreck, the unknown position (x, y, z) and time t can be solved for using nonlinear least squares. For the case of multiple wreckages, it is essentially from all permutations to Due to the large amount of computation, this paper introduces a heuristic annealing model to obtain the permutations with smaller errors faster, in order to determine the corresponding wreckage of the signals measured by each device, and then to find the position and time of sonic booms of all the wreckage. After calculation, the total error of the final result is 6.17196e-07, and the time of the sonic boom generated by the four wrecks does not differ from each other by more than 5s, which is in line with the requirements, and the error is very small, and the modeling effect is better. This model can be a good solution to this type of rocket debris localization problem.