Near-optimal cumulative longitude low-thrust orbit transfer

Near-optimal cumulative longitude low-thrust orbit transfer
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近最优累积经度低推力轨道转移

DOI:
--
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发表时间:
2012-01
期刊:
系统工程与电子技术(英文版)
影响因子:
--
通讯作者:
Geng Zhiyong
Geng Zhiyong
中科院分区:
其他
文献类型:
--
作者:
Yang Ying;Yue Xincheng;Geng Zhiyong

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研究了连续小推力近最小累积经度轨道转移问题的间接求解方法。卫星的运动由高斯方程描述,采用修正的春分要素,用累积经度代替时间作为系统自变量。采用最大值原理设计最优控制,使最终累积经度最小,并将轨道转移问题转化为两点边值问题。采用单次打靶法进行了数值试验,仿真结果表明,轨道转移使命得以完成,最大推力与最小累积经度的乘积接近常数。
The indirect method for the continuous low-thrust near minimum cumulative longitude orbit transfer problem is addressed. The movement of the satellite is described by the Gauss equation using the modified equinoc- tial elements and replacing time as the system independent variable by the cumulative longitude. The Maximum Principle is adapted to design the optimal control in order to minimize the final cumulative longitude, and the two- point-boundary-value problem is derived from the orbit transfer problem. The single shooting method is applied in a numerical experiment, and the simulations demonstrate that the orbit transfer mission is fulfilled and the product of the maximal thrust and the minimum cumulative longitude is near constant.
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