关键词: 多体分离, 初始扰动, 扰动发展理论, 蒙特卡罗打靶, 无人机

Abstract:

This paper studies the carrier-unmanned aerial vehicle separation system and for the first time establishes a theory analysis model of the initial disturbance development based on the six degrees of freedom equations of motion. The explicit expression of the disturbance amplitude development is obtained， and the development mode of disturbance distribution is presented for the first time. The research shows that a third-order Taylor expansion of the acceleration/angular acceleration at the initial moment provides an accurate description of the disturbance development pattern in solving the established theoretical analytical model. The amplitude of the disturbance is dominated by the linear growth mode in the direction of the velocity disturbance， and the growth rate is the standard deviation of the initial velocity disturbance. The amplitude of disturbance shows a nonlinear growth pattern in other directions. The basic pattern of the distribution development in the direction of disturbance application is the initial distribution， and in other directions， the zero order term of the Taylor expansion of acceleration/angular acceleration at the initial time is consistent with the initial distribution， but the higher-order term significantly deviates from the initial distribution. As time progresses， the higher-order term gradually dominates the overall disturbance distribution， causing it to gradually deviate from the initial distribution.

Key words: multibody separation, initial disturbance, disturbance development theory, Monte-Carlo targeting, unmanned aerial vehicle