Artificial equilibrium points for a generalized sail in the circular restricted three-body problem
Artificial equilibrium points for a generalized sail in the circular restricted three-body problem
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DOI：
10.1007/s10569-011-9366-y
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发表时间：
2011-07
影响因子：
1.6
通讯作者：
Generoso Aliasi;G. Mengali;A. Quarta
中科院分区：
文献类型：
--
作者：
Generoso Aliasi;G. Mengali;A. Quarta
本文介绍了一种研究具有连续纯径向推力的推进系统的圆形限制性三体问题中人工平衡点的新方法。推进系统是通过一个通用的数学模型，包括不同的系统，如太阳帆，磁帆和电帆的行为。所提出的模型是基于一个系数的选择相关的推进类型和性能参数，量化系统的技术复杂性。因此，推进系统被称为广义帆。研究了广义帆的人工平衡点的存在性。结果表明，存在三个不同的家庭的平衡点，其特征轨迹的几何描述通过改变性能参数的值。文中还讨论了人工点的线性稳定性。
This paper introduces a new approach to the study of artificial equilibrium points in the circular restricted three-body problem for propulsion systems with continuous and purely radial thrust. The propulsion system is described by means of a general mathematical model that encompasses the behavior of different systems like a solar sail, a magnetic sail and an electric sail. The proposed model is based on the choice of a coefficient related to the propulsion type and a performance parameter that quantifies the system technological complexity. The propulsion system is therefore referred to as generalized sail. The existence of artificial equilibrium points for a generalized sail is investigated. It is shown that three different families of equilibrium points exist, and their characteristic locus is described geometrically by varying the value of the performance parameter. The linear stability of the artificial points is also discussed.