arXiv:2509.08607astro-ph.EPastro-ph.IM2025-09

用规则网格点质量模型快速精准建模小行星引力场。

MasconCube: Fast and Accurate Gravity Modeling with an Explicit Representation

  • 将引力反演转化为在规则3D网格上直接优化点质量分布。
  • 训练速度比GeodesyNets快40倍,且保持物理可解释性。
  • 适合需要高精度、高效能与内部质量分布洞察的任务。

不规则小天体的大地测量学给引力场建模带来根本挑战,尤其在深空探测任务日益聚焦于小行星和彗星的背景下。传统方法存在显著局限:球谐函数在航天器通常运行的布里卢安球内发散,多面体模型假设密度均匀不现实,而现有机器学习方法如GeodesyNets和物理信息神经网络(PINN-GM)则需大量计算资源和训练时间。本文提出MasconCubes,一种新型自监督学习方法,将引力反演表述为在规则3D网格点质量(mascons)上的直接优化问题。与隐式神经表示不同,MasconCubes显式建模质量分布,并利用已知小行星形状信息约束解空间。在本努、爱罗斯、伊藤加瓦及合成星子模型上的综合评估表明,MasconCubes在多个指标上表现优异。尤为突出的是,其训练时间约为GeodesyNets的1/40,同时通过显式质量分布保持物理可解释性。这些结果确立了MasconCubes作为任务关键型引力建模应用的有力候选方案,满足高精度、计算效率与对内部质量分布的物理洞察需求。

原文摘要 · Abstract (English)

The geodesy of irregularly shaped small bodies presents fundamental challenges for gravitational field modeling, particularly as deep space exploration missions increasingly target asteroids and comets. Traditional approaches suffer from critical limitations: spherical harmonics diverge within the Brillouin sphere where spacecraft typically operate, polyhedral models assume unrealistic homogeneous density distributions, and existing machine learning methods like GeodesyNets and Physics-Informed Neural Networks (PINN-GM) require extensive computational resources and training time. This work introduces MasconCubes, a novel self-supervised learning approach that formulates gravity inversion as a direct optimization problem over a regular 3D grid of point masses (mascons). Unlike implicit neural representations, MasconCubes explicitly model mass distributions while leveraging known asteroid shape information to constrain the solution space. Comprehensive evaluation on diverse asteroid models including Bennu, Eros, Itokawa, and synthetic planetesimals demonstrates that MasconCubes achieve superior performance across multiple metrics. Most notably, MasconCubes demonstrate computational efficiency advantages with training times approximately 40 times faster than GeodesyNets while maintaining physical interpretability through explicit mass distributions. These results establish MasconCubes as a promising approach for mission-critical gravitational modeling applications requiring high accuracy, computational efficiency, and physical insight into internal mass distributions of irregular celestial bodies.

引力建模小行星点质量自监督学习

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