AI 中文总结
该研究构建用于地空钟比对的高精度相对论框架，通过三链路多普勒抵消配置分离信号，经数值模拟发现结合h₂和k₂阶Love数的参数可在30天内稳定估计固体潮，且精度受限于钟稳定性。
AI 中文摘要
随着现代原子钟技术的快速发展，其前所未有的精度将它们从计时工具提升为引力势传感器，从而催生了高度交叉的相对论大地测量学领域。鉴于高精度钟网络具备探测周期性引力变化的潜力，评估其在复杂观测噪声存在下通过地空链路反演固体潮参数的能力至关重要。为此，我们将地球引力势、直接日月潮汐势和固体潮效应纳入用于地空钟比对的高精度相对论框架中。通过采用三链路多普勒抵消配置分离目标信号，我们对一颗倾斜地球同步轨道卫星进行数值模拟，以分析钟不稳定性和有色精密定轨误差对参数提取的影响。研究发现，尽管高轨道高度会导致各阶Love数之间出现严重共线性，但结合h₂和k₂阶Love数的有效参数在30天连续观测窗口内成功收敛至稳定估计值。此外，敏感性分析表明，当前提取精度受限于钟稳定性，而非径向精密定轨误差。
英文摘要
With the rapid development of modern atomic clock technology, their unprecedented precision elevates them from timekeeping tools to gravitational potential sensors, thereby fostering the highly interdisciplinary field of Relativistic Geodesy. Given the potential for high-precision clock networks to detect periodic gravitational variations, it is imperative to assess their capability to invert solid Earth tide parameters via space-to-ground links in the presence of complex observational noise. To this end, we incorporate Earth's gravitational potential, direct lunisolar tidal potentials, and solid Earth tide effects into a high-precision relativistic framework for space-to-ground clock comparisons. By employing a three-link Doppler cancellation configuration to isolate the target signal, we perform numerical simulations for an inclined geosynchronous orbit satellite to analyze the effects of clock instability and colored precise orbit determination errors on parameter extraction. Our findings reveal that while high orbital altitudes cause severe collinearity between individual Love numbers, an effective parameter combining the $h_2$ and $k_2$ Love numbers successfully converges to a stable estimate within a 30-day continuous observation window. Furthermore, sensitivity analysis demonstrates that extraction accuracy is currently limited by clock stability rather than radial precise orbit determination errors.
Comments16 pages, 8 figures
