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变比冲发动机作用下共面燃料最优轨道转移
引用本文:梁新刚,杨涤.变比冲发动机作用下共面燃料最优轨道转移[J].飞行力学,2007,25(3):53-57.
作者姓名:梁新刚  杨涤
作者单位:哈尔滨工业大学,航天学院,黑龙江,哈尔滨,150001
摘    要:以国外目前正在研制中的变比冲磁等离子体火箭发动机(VASIMR)为背景,研究了变比冲发动机作用下的同平面燃料最优轨道转移。推力方向角和比冲为控制变量,发动机总功率为常值,发动机可多次开关机。采用经典最优控制理论,运用庞德里亚金最小值原理将问题转化为两点边值问题,并通过非线性规划算法求解,得到了受精确开关函数控制的最优比冲时间历程。给出的VASIMR发动机应用算例结果表明,采用VA-SIMR发动机有益于提高航天器有效载荷所占比例。

关 键 词:变比冲发动机  有限推力  轨道转移  非线性规划
文章编号:1002-0853(2007)03-0053-05
修稿时间:2006-06-27

Fuel-Optimal Coplanar Orbital Transfer Using a Variable Specific Impulse Magnetoplasma Rocket
LIANG Xin-gang,YANG Di.Fuel-Optimal Coplanar Orbital Transfer Using a Variable Specific Impulse Magnetoplasma Rocket[J].Flight Dynamics,2007,25(3):53-57.
Authors:LIANG Xin-gang  YANG Di
Institution:School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
Abstract:Fuel-optimal coplanar orbital transfer using the advanced variable specific impulse magnetoplasma rocket(VASIMR) is studied.Thrust direction and specific impulse are considered as control variables.Optimal control problem is converted into a two point boundary value problem which is solved by nonlinear programming method in this paper.A key point of this paper is that the optimal specific impulse time history is achieved according to the precise switch function.The numerical orbit raise simulation using VASIMR is given,which shows that it is beneficial to increase the payload ratio.
Keywords:variable specific impulse rocket  finite thrust  orbital transfer  nonlinear programming
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