## 1 Introduction
Measurement of local magnetic fields is crucial for diverse applications, including detecting anomalies in Earth's main field, locating buried objects in oil and mineral exploration, and monitoring space weather. Magnetic observatories provide essential data for statistical studies on magnetic storms, tracking magnetic pole motions, and understanding the structure and dynamics of the Earth. In physics and astronomy, local magnetic field measurements help to study fundamental particles and their behavior in different environments, such as in plasma and the magnetic fields of stars [5; 6; 7; 8; 9]. Recent studies, such as [10], focus on understanding key aspects of Earth's geomagnetic field, including the decay of the dipole moment, changes in the South Atlantic anomaly, and magnetic pole positions, all crucial for effective space weather prediction. Other studies [11; 12], highlight advances in modeling the magnetospheric magnetic field, combining observational data with flexible models for a better understanding of Earth's magnetic environment dynamics. The significance of magnetic field measurements from geosynchronous orbit is emphasized in [13], contributing to space weather monitoring and enhancing our understanding of Earth's magnetosphere and solar interactions. Furthermore, Refs. [14; 15] discuss the importance of understanding Earth's geomagnetic field and its response to external forces, highlighting the societal implications of space weather events. Finally, the study in [16] employs the Space Weather Modeling Framework to simulate space weather events, demonstrating accurate reproduction of large-scale magnetic field variations and predicting plasma temperature and density close to measured means. The GCMS (Global Coherence Monitoring System) is a global network of magnetometers measuring changes in the Earth's magnetic field and monitoring Schumann resonances in the Earth-ionosphere cavity. It helps to study the Earth's magnetic field and ionosphere, examining their response to solar activity and other influences [17]. The effects of the Moon on Earth are mostly represented by tidal effects. Measurement of seawater height serves multiple purposes across various scientific disciplines, from oceanography to meteorology. It involves instant measurements contributing to the understanding and calculation of sea level changes, mean, lowest, and highest sea levels, tide amplitude, and phase. Various sensors, including tide gauges, GNSS (Global Navigation Satellite System), and satellite radar altimeters, contribute to global coverage and complement fixed point observations [18]. The international organization The Global Sea Level Observing System (GLOSS), established in 1985, aims to provide standardized sea level data globally. GLOSS comprises around 300 sea level stations from 80 countries, observing large-scale sea level variations with global implications [19]. The Moon's influence on the Earth's surface and tides are well known. However, the influence of the Moon on changes in the upper layers of the magnetosphere is less studied. Ref. [20] explores the impact of lunar tides on various Earth systems, including the crust, oceans, atmosphere, and geomagnetic field. The research reveals new evidence of lunar-tide-induced signals in the plasmasphere, an inner region of the magnetosphere filled with cold plasma. By analyzing multi-satellite observations over four decades, the study identifies distinct diurnal and monthly periodicities in the plasmasphere's boundary location, different from previously observed lunar tide effects. These findings highlight the significance of lunar tidal effects in plasma-dominated regions, influencing the understanding of the interactions of the Moon, atmosphere, and magnetosphere system through gravity and electromagnetic forces. The results may also have implications for tidal interactions in celestial systems with two bodies.