確率的クローニングUDフィルタによるGNSS月軌道・時計推定
GNSS-based Lunar Orbit and Clock Estimation With Stochastic Cloning UD Filter
月周回ナビゲーション衛星の軌道と時計を、地上GNSSの搬送波位相を用いて高精度に推定する確率的クローニングUDフィルタを開発し、シミュレーションでメートル級軌道精度を達成した。
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著者: Keidai Iiyama, Grace Gao
分類: cs.RO
原文アブストラクト
This paper presents a terrestrial GNSS-based orbit and clock estimation framework for lunar navigation satellites. To enable high-precision estimation under the low-observability conditions encountered at lunar distances, we develop a stochastic-cloning UD-factorized filter and delayed-state smoother that provide enhanced numerical stability when processing precise time-differenced carrier phase (TDCP) measurements. A comprehensive dynamics and measurement model is formulated, explicitly accounting for relativistic coupling between orbital and clock states, lunar time-scale transformations, and signal propagation delays including ionospheric, plasmaspheric, and Shapiro effects. The proposed approach is evaluated using high-fidelity Monte-Carlo simulations incorporating realistic multi-constellation GNSS geometry, broadcast ephemeris errors, lunar satellite dynamics, and ionospheric and plasmaspheric delay computed from empirical electron density models. Simulation results demonstrate that combining ionosphere-free pseudorange and TDCP measurements achieves meter-level orbit accuracy and sub-millimeter-per-second velocity accuracy, satisfying the stringent signal-in-space error requirements of future Lunar Augmented Navigation Services (LANS).
