空间引力波航天器质心自引力耦合效应分析

Analysis of Center-of-Gravity–Self-Gravity Coupling Effects in Space-Based Gravitational-Wave Spacecraft

  • 摘要: 为满足空间引力波探测航天器在燃料消耗导致质量分布变化时快速在轨评估检验质量处自引力扰动的需求,对燃料消耗工况下航天器质心—自引力中心—检验质量的耦合效应进行了研究,提出一种耦合的快速预测方法. 首先,将航天器几何结构和燃料消耗引起的质量分布变化对自引力中心的影响进行有限元分析,得到了关于质心、自引力中心等一系列数据集;然后,建立辨识“质心—自引力中心”与“质心—检验质量自引力”的分段线性耦合矩阵,并利用奇异值分解验证质心演化的近一维特征,将其降维为标量参数;最后,基于该标量参数建立分段三次Hermite插值(PCHIP)映射,实现SG位置与TM处自引力增量的快速预测. 仿真结果表明,在测试区间内该模型在未参与建模的燃料消耗区间保持良好一致性:自引力中心的PCHIP预测误差维持在毫米级,检验质量处自引力增量预测稳定,从而将高保真计算转化为可用于在线评估的轻量化代理模型并揭示了质心与自引力中心之间的耦合规律.

     

    Abstract: To meet the need for fast and interpretable in-orbit evaluation of the self-gravity disturbances acting on the test masses (TMs) of space-based gravitational-wave detection spacecraft under propellant consumption–induced mass distribution changes, this paper investigates the coupling effects among the spacecraft center of mass (CG), self-gravity center (SG), and test mass (TM) under fuel-consumption conditions, and proposes a coupled fast-prediction approach. First, finite-element analyses are performed to quantify how the spacecraft geometry and the propellant-consumption–driven mass redistribution affects the SG, yielding a dataset that includes CG, SG, and related quantities. Second, piecewise linear coupling matrices for “CG–SG” and “CG–TM self-gravity” are identified, and singular value decomposition (SVD) is used to verify the near one-dimensional evolution of the CG, thereby reducing the problem to a scalar parameter. Finally, based on this scalar parameter, a piecewise cubic Hermite interpolating polynomial (PCHIP) mapping is constructed to enable rapid prediction of the SG position and the self-gravity increments at the TMs. Results show that, within the test intervals, the proposed model maintains good consistency even in fuel-consumption ranges not used for model construction: the PCHIP prediction error of the SG remains at the millimeter level, and the predicted self-gravity increments at the TMs are stable. This converts high-fidelity computations into a lightweight surrogate model suitable for online evaluation and reveals the coupling between the spacecraft CG and SG.

     

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