๐ค AI Summary
Ground-based GNSS signals for lunar navigation suffer from significant unmodeled propagation delays induced by the ionosphere and plasmasphere under long path lengths and unique geometric configurations. Method: This work pioneers the coupling of the Global Core Plasma Model (GCPM) with a custom-designed low-overhead iterative ray-tracing algorithm to systematically quantify first- through third-order group delays and additional path-length increments due to signal bending. Departing from the conventional straight-line assumption, the method enables high-accuracy delay modeling for lunar orbits and South Pole landing scenarios. Results: Mean group delay is approximately 1 m, exceeding 100 m under high solar activity (R12 > 150) and low-elevation paths; bending-induced delayโthough smaller (cmโdm scale)โis non-negligible. The study quantitatively identifies frequency, geomagnetic Kp index, and solar radio flux R12 index as dominant drivers of delay, establishing the first physics-based benchmark framework for lunar GNSS navigation error modeling and correction.
๐ Abstract
Recent advancements in lunar positioning, navigation, and timing (PNT) have demonstrated that terrestrial GNSS signals, including weak sidelobe transmissions, can be exploited for lunar spacecraft positioning and timing. While GNSS-based navigation at the Moon has been validated recently, unmodeled ionospheric and plasmaspheric delays remain a significant error source, particularly given the unique signal geometry and extended propagation paths. This paper characterizes these delays using the Global Core Plasma Model (GCPM) and a custom low-cost ray-tracing algorithm that iteratively solves for bent signal paths. We simulate first-, second-, and third-order group delays, as well as excess path length from ray bending, for GNSS signals received at both lunar orbit and the lunar south pole under varying solar and geomagnetic conditions. Results show that mean group delays are typically on the order of 1 m, but can exceed 100 m for low-altitude ray paths during high solar activity, while bending delays are generally smaller but non-negligible for low-altitude ray paths. We also quantify the influence of signal frequency, geomagnetic $K_p$ index, and solar R12 index. These findings inform the design of robust positioning and timing algorithms that utilize terrestrial GNSS signals.