Localization and Optimization of Debris Sonic Booms Based on Greedy Algorithm and TOA Technology

Abstract

With the rapid development of aerospace technology, due to the complexity of Time synchronization and multi-parameter solution, the traditional Time of Arrival (TOA) method is inefficient and inaccurate in the case of multi-source, and more efficient and accurate algorithms are urgently needed to improve the positioning performance and reliability. Specifically, this study employs TOA technology to construct the equation and employs the least square method to transform it into an optimization problem, solving the location and time of a single debris sonic boom are obtained as (110.498°E,27.314°N,1153m) and 19.094s. Then, based on the constructed model, the location and time of the four groups of debris are obtained using the greedy algorithm, in which the time at (110.500°E, 27.950°N, 11528m) is 13.002s. Finally, by comparing the theoretical arrival time and actual arrival time of the debris sonic boom, the error of the results is within 6×10-4s, which proves the feasibility and accuracy of the method for accurately locating the location and time of multiple debris sonic booms, providing accurate tracking and positioning technology for rocket debris and sonic boom events, and further meeting the rapid needs of safety monitoring.