Arnot C S, McInnes C R, McKay R J, Macdonald M, Biggs J
Advanced Space Concepts Laboratory, Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glasgow, UK.
School of Engineering, University of Glasgow, Glasgow, UK.
Celest Mech Dyn Astron. 2018;130(2):12. doi: 10.1007/s10569-017-9807-3. Epub 2018 Jan 18.
This paper presents rich new families of relative orbits for spacecraft formation flight generated through the application of continuous thrust with only minimal intervention into the dynamics of the problem. Such simplicity facilitates implementation for small, low-cost spacecraft with only position state feedback, and yet permits interesting and novel relative orbits in both two- and three-body systems with potential future applications in space-based interferometry, hyperspectral sensing, and on-orbit inspection. Position feedback is used to modify the natural frequencies of the linearised relative dynamics through direct manipulation of the system eigenvalues, producing new families of stable relative orbits. Specifically, in the Hill-Clohessy-Wiltshire frame, simple adaptations of the linearised dynamics are used to produce a circular relative orbit, frequency-modulated out-of-plane motion, and a novel doubly periodic cylindrical relative trajectory for the purposes of on-orbit inspection. Within the circular restricted three-body problem, a similar minimal approach with position feedback is used to generate new families of stable, frequency-modulated relative orbits in the vicinity of a Lagrange point, culminating in the derivation of the gain requirements for synchronisation of the in-plane and out-of-plane frequencies to yield a singly periodic tilted elliptical relative orbit with potential use as a Lunar far-side communications relay. The requirements for the cylindrical relative orbit and singly periodic Lagrange point orbit are analysed, and it is shown that these requirements are modest and feasible for existing low-thrust propulsion technology.
本文提出了用于航天器编队飞行的丰富的新型相对轨道族，这些轨道是通过施加连续推力产生的，对问题动力学的干预极小。这种简单性便于仅通过位置状态反馈在小型低成本航天器上实现，同时在二体和三体系统中允许出现有趣且新颖的相对轨道，在天基干涉测量、高光谱传感和在轨检测方面具有潜在的未来应用。位置反馈用于通过直接操纵系统特征值来修改线性化相对动力学的固有频率，从而产生新的稳定相对轨道族。具体而言，在希尔 - 克洛西 - 威尔特希尔坐标系中，对线性化动力学进行简单调整，以产生圆形相对轨道、调频平面外运动以及用于在轨检测的新型双周期圆柱相对轨迹。在圆形限制性三体问题中，采用类似的带有位置反馈的最小化方法，在拉格朗日点附近生成新的稳定调频相对轨道族，最终推导出平面内和平面外频率同步以产生单周期倾斜椭圆相对轨道的增益要求，该轨道有潜力用作月球背面通信中继。分析了圆柱相对轨道和单周期拉格朗日点轨道的要求，结果表明，对于现有的低推力推进技术，这些要求是适度且可行的。
