CAJ | 학술논문

软着陆轨道设计是月球探测中的关键技术之一。基于2014高教社杯全国大学生数学建模竞赛A题，针对嫦娥3号软着陆轨道设计问题，运用开普勒定律和能量守恒定律准确获得近月点、远月点的位置和速度；根据软着陆的动力学方程，以消耗燃料量为最优化条件，利用Matlab对嫦娥3号的最优软着陆轨道进行仿真。结果表明，设计的最优轨道较好满足所要求的约束条件，能够为探测器软着陆轨道设计提供一定参考。
연착륙궤도설계시월구탐측중적관건기술지일。기우2014고교사배전국대학생수학건모경새A제，침대항아3호연착륙궤도설계문제，운용개보륵정률화능량수항정률준학획득근월점、원월점적위치화속도；근거연착륙적동역학방정，이소모연료량위최우화조건，이용Matlab대항아3호적최우연착륙궤도진행방진。결과표명，설계적최우궤도교호만족소요구적약속조건，능구위탐측기연착륙궤도설계제공일정삼고。
The soft landing orbital design is one of the key technologies in lunar exploration. Based on Problem A of Contemporary Undergraduate Mathematical Contest in Modeling 2014 for college students, for the Changˊe-3 soft landing orbital designˊs problem, using the Keplerˊs law and velocity of perilune and apolune, with the kinetic equation of soft landing, and the amount of fuel consumption as the optimization conditions, Matlab to Changˊe-3 optimization soft landing orbit is utilized to proceed simulation. The results show that the optimization orbit of the design can better meet the requivement of the constraint equation. It will bring about reference for the exploration of soft landing orbit.