用连续时间概率修正器提升航天器轨迹预测的准确性与不确定性估计。
Continuous-Time Probabilistic Correctors for Uncertainty-Aware Physics-Based Spacecraft Trajectory Forecasting

- 构建连续时间概率修正器,动态学习物理模型的误差演化规律。
- 在2-4天无观测条件下,预测精度与不确定性校准均优于基线方法。
- 适合需要高可靠性决策的空间态势感知与碰撞评估场景。
长时程航天器轨迹预测因缺乏修正观测而面临误差累积问题,可靠不确定性估计对空间态势感知和碰撞评估等安全关键任务至关重要。现有高保真物理轨道传播器虽能提供准确的确定性预报,但长期预测中缺乏校准的不确定性估计。本文提出一种预测-修正框架:在连续时间的确定性物理预报器基础上,引入一个基于潜在神经控制微分方程(Latent NCDEs)的连续时间概率修正器,以建模预报误差的随机时序演化。该修正器可无缝嵌入现有传播器,提升预测精度并生成锐利且校准的全协方差不确定性估计。其天然支持不规则采样与缺失特征。我们还设计了一种促进长期不确定性校准与尖锐性的损失函数。在真实数据集CDDIS上,将该修正器应用于NASA GMAT工具,覆盖2–4天无观测、六轮滚动测试窗口。结果表明,相较确定性基线与基于潜伏ODE的修正器,本方法在所有条件下均显著提升精度与不确定性校准效果。
原文摘要 · Abstract (English)
Long-horizon spacecraft trajectory forecasting suffers from error accumulation due to the absence of corrective observations in the forecast regime, making reliable uncertainty estimation crucial for safety-critical decision-making such as space domain awareness and conjunction assessment. While high-fidelity physics-based orbit propagators provide accurate deterministic forecasts, they typically lack calibrated uncertainty estimates over long horizons. We introduce a Predictor--Corrector framework in which a physics-based continuous-time $\textit{deterministic}$ forecaster is augmented with a learned continuous-time $\textit{probabilistic}$ Corrector that models forecast errors. The proposed Corrector can be wrapped around an existing deterministic propagator to improve forecast accuracy while producing sharp and calibrated full-covariance uncertainty estimates. The Corrector is based on Latent Neural Controlled Differential Equations (Latent NCDEs) and models the probabilistic temporal evolution of forecast errors in continuous time, naturally supporting irregular sampling and missing features. We further introduce a loss function that promotes calibration and sharpness in long-horizon uncertainty propagation. We evaluate the proposed framework on long-horizon spacecraft trajectory forecasting using real-world data from NASA's Crustal Dynamics Data Information System (CDDIS), wrapping the Corrector around NASA's General Mission Analysis Tool (GMAT). Across forecast horizons of 2--4 days without observations and six rolling test windows, the proposed approach consistently improves accuracy and uncertainty calibration compared to deterministic baselines and Latent ODE-based correctors, demonstrating the effectiveness of the continuous-time probabilistic Corrector for trajectory forecasting.
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