Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun–Earth–Moon scenario

Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun–Earth–Moon scenario
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DOI:
10.1016/j.cnsns.2011.06.032
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发表时间:
2012-02
影响因子:
3.9
通讯作者:
Anna Zanzottera;G. Mingotti;R. Castelli;M. Dellnitz
Anna Zanzottera;G. Mingotti;R. Castelli;M. Dellnitz
中科院分区:
数学2区
文献类型:
--
作者:
Anna Zanzottera;G. Mingotti;R. Castelli;M. Dellnitz

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本文研究了利用脉冲机动将低轨道与环绕地月CRTBP点的光晕轨道连接起来的传输设计。利用耦合的圆形受限三体问题近似,推导出合适的第一猜测轨迹,用于检测EM空间CRTBP中与光晕轨道相关的稳定流形与平面太阳-地球CRTBP中集成的地球逃逸轨迹之间的交集。通过在GAIO软件中实现的盒盖结构来控制构型空间中相交和Δv不连续性的精度。最后,对圆四体问题的第一猜测解进行了优化,并给出了单脉冲和双脉冲传递。
This work deals with the design of transfers connecting LEOs with halo orbits around libration points of the Earth–Moon CRTBP using impulsive maneuvers. Exploiting the coupled circular restricted three-body problem approximation, suitable first guess trajectories are derived detecting intersections between stable manifolds related to halo orbits of EM spatial CRTBP and Earth-escaping trajectories integrated in planar Sun–Earth CRTBP. The accuracy of the intersections in configuration space and the discontinuities in terms of Δv are controlled through the box covering structure implemented in the software GAIO. Finally first guess solutions are optimized in the bicircular four-body problem and single-impulse and two-impulse transfers are presented.