Reachable domain for spacecraft with ellipsoidal Delta-V distribution

作     者：Changxuan Wen Chao Peng Yang Gao 

作者机构：Chinese Academy of SciencesBeijing 100094China 

出 版 物：《Astrodynamics》 (航天动力学（英文）)

年 卷 期：2018年第2卷第3期

页      面：265-288页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This work was supported by the National Natural Science Foundation of China(Grant No.11702293) 

主　　题：reachable domain maneuverability orbit uncertainty 

摘      要：Conventional reachable domain(RD)problem with an admissible velocity increment,Δv,in an isotropic distribution,was extended to the general case withΔv in an anisotropic ellipsoidal *** an extension enables RD to describe the effect of initial velocity uncertainty because a Gaussian form of velocity uncertainty can be regarded as possible velocity deviations that are confined within an error *** specify RD in space,the boundary surface of RD,also known as the envelope,should be *** this study,the envelope is divided into two parts:inner and outer ***,the problem of solving the RD envelope is formulated into an optimization *** inner and outer reachable boundaries that are closest to and farthest away from the center of the Earth,respectively,were found in each *** optimal control policy is then formulated by using the necessary condition for an optimum;that is,the first-order derivative of the performance function with respect to the control variable becomes *** properties regarding the optimal control policy is ***,an algorithm to solve the RD envelope is *** general,the proposed algorithm does not require any iteration,and therefore benefits from quick *** examples,including two coplanar cases and two 3D cases,are provided,which demonstrate that the proposed algorithm works efficiently.