小推质比条件下Lambert制导方法的快速修正

Analytical Method to Correct the Lambert Impulsive Guidance Errors under Small Thrust to Mass Ratio

针对Lambert速度冲量制导方法小推质比实施误差较大的问题,提出了一种解析的快速修正方法。该方法以Lambert速度冲量制导终端状态为约束条件,采用修正初始制动点的方式修正小推质比实施速度冲量带来的误差。仿真结果表明:该方法可有效修正速度冲量假设小推质比实施的误差,并且具有计算量小、速度快的优点。

If the thrust to mass ratio is small, the error between the finite burn transfers and the Lam- bert impulsive guidance is significant. The general method of solution is to run an integrated trajectory computer program. An analytic method is presented to reduce this error and alleviate on-board computer burden. The terminal state parameters of the Lambert impulsive guidance are used as the terminal con- straints of the finite burn transfers. The initial state of the finite burn transfers as the design parameters are selected by the linearized method to meet the terminal constraints and make the same trajectory of the finite burn and impulsive transfers after the finite burn. The numerical simulation illustrates the presented analytical method could effectively correct the error of the velocity impulse assumption, and has the ad- vantages of small computation burden.