多航天器协同定位星际物体,最大化探测信息量。
Information-Optimal Multi-Spacecraft Positioning for Interstellar Object Exploration
- 基于概率椭球建模星际物体位置不确定性,动态优化航天器分布
- 仿真验证在合成样本上可提升探测信息量并减少资源消耗
- 适合深空探测任务规划,尤其对突发性天体探索有实用价值
星际物体(ISO)是不受太阳引力束缚的天体,可能为理解宇宙形成与成分提供重要线索。由于其发现具有不可预测性,状态不确定性大且快速变化,本文提出一种新型多航天器框架,通过形式化概率保证实现对ISO遭遇时信息获取的局部最大化。在给定近似控制与估计策略的前提下,首先构建一个围绕终端位置的椭球,该区域包含ISO的概率有限。利用随机收缩非线性系统的分层性质,形式化处理了ISO的大状态不确定性。随后提出一种方法,优化多个航天器在椭球周围的终端位置分布,以最大化从所有兴趣点(POIs)获得的信息量。该方法采用考虑航天器位置、相机参数及ISO位置不确定性的概率信息代价函数,信息定义为相机采集的视觉数据。数值仿真使用来自准真实经验种群生成的合成ISO候选者,验证了该方法的有效性。本方法使每个航天器能自主选择最优终端状态,并确定应调查的理想POI数量,有望增强对稀有短暂的星际访客的研究能力,同时最小化资源消耗。
原文摘要 · Abstract (English)
Interstellar objects (ISOs), astronomical objects not gravitationally bound to the sun, could present valuable opportunities to advance our understanding of the universe's formation and composition. In response to the unpredictable nature of their discoveries that inherently come with large and rapidly changing uncertainty in their state, this paper proposes a novel multi-spacecraft framework for locally maximizing information to be gained through ISO encounters with formal probabilistic guarantees. Given some approximated control and estimation policies for fully autonomous spacecraft operations, we first construct an ellipsoid around its terminal position, where the ISO would be located with a finite probability. The large state uncertainty of the ISO is formally handled here through the hierarchical property in stochastically contracting nonlinear systems. We then propose a method to find the terminal positions of the multiple spacecraft optimally distributed around the ellipsoid, which locally maximizes the information we can get from all the points of interest (POIs). This utilizes a probabilistic information cost function that accounts for spacecraft positions, camera specifications, and ISO position uncertainty, where the information is defined as visual data collected by cameras. Numerical simulations demonstrate the efficacy of this approach using synthetic ISO candidates generated from quasi-realistic empirical populations. Our method allows each spacecraft to optimally select its terminal state and determine the ideal number of POIs to investigate, potentially enhancing the ability to study these rare and fleeting interstellar visitors while minimizing resource utilization.
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