arXiv:2409.02531cs.ROastro-ph.IM2024-09

提出高效生成小天体重力场模型的模块化流程,提升导航算法测试可靠性。

Modular pipeline for small bodies gravity field modeling: an efficient representation of variable density spherical harmonics coefficients

  • 基于多面体形状与密度分布计算球谐系数,实现可变密度重力场建模。
  • 在多种天体上验证,精度与效率优于传统方法,支持复杂环境模拟。
  • 适用于航天器自主导航算法的仿真与硬件在环测试,尤其适合小天体任务。

靠近小天体(如小行星、彗星)的探测任务需要高度自主的制导、导航与控制(GNC)系统以实现低成本、安全可靠的运行。然而,这些天体周围环境具有高度非线性与不确定性,对未知形状和重力场的鲁棒性构成挑战。本文提出一种模块化流程,用于生成可变密度的重力场模型,可构建一致的场景集,用于GNC算法的设计、验证与测试。该方法通过给定密度分布的多面体形状模型,计算对应的球谐展开系数。通过与解析解、文献结果及更高保真度模型对比,在多种具有不同形态与物理特性的目标上进行验证。仿真结果表明,该方法在建模精度与计算效率方面表现优异,为飞行器在轨GNC算法的仿真与硬件在环测试提供了更快速、更稳健的环境建模框架。

原文摘要 · Abstract (English)

Proximity operations to small bodies, such as asteroids and comets, demand high levels of autonomy to achieve cost-effective, safe, and reliable Guidance, Navigation and Control (GNC) solutions. Enabling autonomous GNC capabilities in the vicinity of these targets is thus vital for future space applications. However, the highly non-linear and uncertain environment characterizing their vicinity poses unique challenges that need to be assessed to grant robustness against unknown shapes and gravity fields. In this paper, a pipeline designed to generate variable density gravity field models is proposed, allowing the generation of a coherent set of scenarios that can be used for design, validation, and testing of GNC algorithms. The proposed approach consists in processing a polyhedral shape model of the body with a given density distribution to compute the coefficients of the spherical harmonics expansion associated with the gravity field. To validate the approach, several comparison are conducted against analytical solutions, literature results, and higher fidelity models, across a diverse set of targets with varying morphological and physical properties. Simulation results demonstrate the effectiveness of the methodology, showing good performances in terms of modeling accuracy and computational efficiency. This research presents a faster and more robust framework for generating environmental models to be used in simulation and hardware-in-the-loop testing of onboard GNC algorithms.

重力场建模小天体探测GNC算法球谐函数

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