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Orbital Dynamics, Chaotic Orbits and Jacobi Elliptic Functions 轨道动力学,混沌轨道和Jacobi椭圆函数
IF 1.8 4区 工程技术 Q3 Engineering Pub Date : 2023-02-01 DOI: 10.1007/s40295-023-00367-x
R. El-Nabulsi, Waranont Anukool
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引用次数: 1
Motion Primitive Approach to Spacecraft Trajectory Design in a Multi-body System. 多体系统中航天器轨迹设计的运动基元方法。
IF 1.2 4区 工程技术 Q3 ENGINEERING, AEROSPACE Pub Date : 2023-01-01 Epub Date: 2023-09-11 DOI: 10.1007/s40295-023-00395-7
Thomas R Smith, Natasha Bosanac

The increasing number and variety of spacecraft that are expected to operate within cislunar space and other multi-body gravitational environments throughout the solar system necessitates the continued development of strategies for rapid trajectory design and design space exploration. In the field of robotics, similar needs have been addressed using motion primitives that capture the fundamental building blocks of motion and are used to rapidly construct complex paths. Inspired by this concept, this paper leverages motion primitives to construct a framework for rapid and informed spacecraft trajectory design in a multi-body gravitational system. First, motion primitives of fundamental solutions, e.g., selected periodic orbits and their stable and unstable manifolds, are generated via clustering to form a discrete summary of segments of the phase space. Graphs of motion primitives are then constructed and searched to produce primitive sequences that form candidate initial guesses for transfers of distinct geometries. Continuous transfers are computed from each initial guess using multi-objective constrained optimization and collocation. This approach is demonstrated by constructing an array of geometrically distinct transfers between libration point orbits in the Earth-Moon circular restricted three-body problem with impulsive maneuvers.

预计在整个太阳系的半月空间和其他多体引力环境中运行的航天器的数量和种类将越来越多,因此有必要继续开发快速轨迹设计和设计空间探索战略。在机器人领域,类似的需求已经通过运动基元得到了解决,运动基元捕捉了运动的基本构件,并用于快速构建复杂的路径。受这一概念的启发,本文利用运动基元构建了一个框架,用于在多体引力系统中快速、明智地设计航天器轨迹。首先,通过聚类生成基本解(如选定的周期轨道及其稳定和不稳定流形)的运动基元,形成相空间段的离散摘要。然后构建并搜索运动基元图,生成基元序列,形成不同几何形状转移的候选初始猜测。利用多目标约束优化和拼位,从每个初始猜测计算连续的转移。在地月环形受限三体问题中,通过脉冲机动构建了一系列不同几何形状的天平点轨道之间的转移,证明了这种方法。
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引用次数: 0
Dynamics in the Vicinity of the Stable Halo Orbits. 稳定光环轨道附近的动力学。
IF 1.8 4区 工程技术 Q3 Engineering Pub Date : 2023-01-01 Epub Date: 2023-06-27 DOI: 10.1007/s40295-023-00379-7
David Lujan, Daniel J Scheeres

This work presents a study of the dynamics in the vicinity of the stable L2 halo orbits in the Earth-Moon system of the circular restricted three-body problem. These solutions include partially elliptic, partially hyperbolic, and elliptic quasi-halo orbits. The first two types of orbits are 2-dimensional quasi-periodic tori, whereas the elliptic orbits are 3-dimensional quasi-periodic tori. Motivated by the Lunar Gateway, this work computes these orbits to explore the 3-parameter family of solutions lying in the vicinity of the stable halo orbits. An algorithm is presented to quantify the size of the invariant surfaces which gives perspective on the size of the orbits. A stability bifurcation is detected where the partially elliptic tori become partially hyperbolic. A nonlinear behavior of the Jacobi constant is observed which differs from the behavior of the quasi-halo orbits emanating from the unstable halo orbits which makeup the majority of the quasi-halo family. Uses of the orbits in the vicinity of the stable L2 halo orbits are identified, and the results highlight characteristics and structure of the family to broaden the understanding of the dynamical structure of the circular restricted three-body problem.

本文研究了圆约束三体问题的地月系统中稳定L2晕轨道附近的动力学问题。这些解包括部分椭圆、部分双曲和椭圆准晕轨道。前两种类型的轨道是二维准周期环面,而椭圆轨道是三维准周期环面。受月球门户的启发,这项工作计算了这些轨道,以探索位于稳定晕轨道附近的三参数解族。提出了一种量化不变曲面大小的算法,该算法可以透视轨道的大小。在部分椭圆复曲面变为部分双曲复曲面的情况下,检测到稳定性分岔。观察到雅可比常数的非线性行为,它不同于由构成准晕族大多数的不稳定晕轨道产生的准晕轨道的行为。确定了稳定L2晕轨道附近轨道的用途,结果突出了该族的特征和结构,以拓宽对圆形受限三体问题动力学结构的理解。
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引用次数: 0
Intrinsic Fault Resistance for Nonlinear Filters with State-Dependent Probability of Detection 具有状态相关检测概率的非线性滤波器的固有故障电阻
IF 1.8 4区 工程技术 Q3 Engineering Pub Date : 2022-12-01 DOI: 10.1007/s40295-022-00353-9
Gunner S. Fritsch, Kyle J. DeMars
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引用次数: 1
Database of Planar and Three-Dimensional Periodic Orbits and Families Near the Moon 月球附近的平面和三维周期轨道和家族数据库
IF 1.8 4区 工程技术 Q3 Engineering Pub Date : 2022-12-01 DOI: 10.1007/s40295-022-00361-9
Carter J. Franz, R. Russell
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引用次数: 1
Perturbed Periodic Orbits as Landing Solutions with an Abort Option at Europa 扰动周期轨道作为具有中止选项的木卫二着陆解
IF 1.8 4区 工程技术 Q3 Engineering Pub Date : 2022-12-01 DOI: 10.1007/s40295-022-00359-3
Luke Bury, J. McMahon, M. Lo
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引用次数: 1
Fragment Cloud Evolution in Medium Earth Orbit 中地球轨道上碎片云的演化
IF 1.8 4区 工程技术 Q3 Engineering Pub Date : 2022-12-01 DOI: 10.1007/s40295-022-00362-8
Marielle Pellegrino, D. Scheeres, Brett J. Streetman
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引用次数: 0
Line Sampling Procedure for Extensive Planetary Protection Analysis 广泛行星保护分析的线取样程序
IF 1.8 4区 工程技术 Q3 Engineering Pub Date : 2022-11-30 DOI: 10.1007/s40295-022-00341-z
M. Romano, C. Colombo, J. M. S. Pérez
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引用次数: 1
Mars Constellation Design and Low-Thrust Deployment Using Nonlinear Orbit Control 利用非线性轨道控制的火星星座设计和低推力部署
IF 1.8 4区 工程技术 Q3 Engineering Pub Date : 2022-11-28 DOI: 10.1007/s40295-022-00352-w
M. Pontani, M. Pustorino, P. Teofilatto
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引用次数: 5
Dual-Based Method for Global Optimization of Impulsive Orbital Maneuvers 脉冲轨道机动全局优化的双基方法
IF 1.8 4区 工程技术 Q3 Engineering Pub Date : 2022-11-28 DOI: 10.1007/s40295-022-00357-5
Adrian Barea, H. Urrutxua, Luis Cadarso
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引用次数: 0
期刊
Journal of the Astronautical Sciences
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