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首页> 外文期刊>Journal of guidance, control, and dynamics >Homoclinic/Heteroclinic Connections of Equilibria and Periodic Orbits of Contact Binary Asteroids
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Homoclinic/Heteroclinic Connections of Equilibria and Periodic Orbits of Contact Binary Asteroids

机译：接触二元小行星的平衡与周期轨道的同上/斜面连接

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摘要

In this paper, homoclinic/heteroclinic connections of equilibrium points of two different types (that is, equilibrium points with one-dimensional unstable/stable manifolds together with two-dimensional center manifolds and those with two-dimensional unstable/stable manifolds and zero-dimensional center manifolds) are constructed and a control strategy for low-cost transfer orbits between them is proposed. These two types of equilibrium points are called the 1 + 1 + 2 type and 2 + 2 + 0 type, respectively. First, asteroid 1996 HW1 is modeled as a contact binary asteroid consisting of a sphere and an ellipsoid. Analytical results show that two collinear equilibrium points are of the 1 + 1 + 2 type and the noncollinear ones are of the 2 + 2 + 0 type. Then, a preliminary investigation on the phase-space structure near the equilibrium points of the 2 + 2 + 0 type is carried out Subsequently, homoclinic/heteroclinic connections of equilibrium points of two types are yielded by four common Poincare sections and one adjustable Poincare section parameterized by the phase angle. Finally, the control strategy for low-cost transfer orbits visiting each equilibrium point and circling near them is proposed. Among all the low-cost trajectories near 1996 HW1, the lowest fuel consumption is about 0.13 m/s with a duration of 28.96 h.
机译：在本文中，两种不同类型的平衡点（即具有一维不稳定/稳定流形和二维中心流形的平衡点以及具有二维不稳定/稳定流形和零维的平衡点的同斜/异斜连接）中心歧管），并提出了一种低成本的控制策略。这两种类型的平衡点分别称为1 + 1 + 2类型和2 + 2 + 0类型。首先，将小行星1996 HW1建模为由球体和椭球组成的接触二元小行星。分析结果表明，两个共线平衡点属于1 + 1 + 2型，非共线平衡点属于2 + 2 + 0型。然后，对2 + 2 + 0型平衡点附近的相空间结构进行了初步研究。随后，通过四个常见的Poincare截面和一个可调节的P​​oincare截面产生了两种类型的平衡点的同斜/异斜连接由相角参数化。最后，提出了低成本转移轨道到达每个平衡点并在其附近盘旋的控制策略。在1996年HW1附近的所有低成本航迹中，最低油耗约为0.13 m / s，持续时间为28.96 h。

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  • 来源
    《Journal of guidance, control, and dynamics》 |2017年第8期|2042-2061|共20页
  • 作者

    Yuying Liang; Ming Xu; Shijie Xu;

  • 作者单位

    Beihang University, 100191 Beijing, People's Republic of China;

    Beihang University, 100191 Beijing, People's Republic of China;

    Beihang University, 100191 Beijing, People's Republic of China;

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