The Arctic region is undergoing unprecedented environmental changes due to global climate change, necessitating robust monitoring and research efforts. Geodesy, the science of accurately measuring Earth's shape, orientation, and gravitational field, plays a critical role in understanding these changes. This article explores the applications, challenges, and future directions of geodesy in the Arctic. Satellite-based techniques such as GNSS, SAR, and satellite altimetry are utilized to monitor ice mass loss, sea level rise, and land deformation with high precision. Challenges in Arctic geodesy include harsh environmental conditions, data accuracy, and the integration of multi-source data. Despite these challenges, ongoing advancements in satellite technology, data processing algorithms, and collaboration initiatives hold promise for addressing these issues and improving our understanding of Arctic environmental dynamics. By leveraging geodesy techniques and emerging technologies, researchers can contribute to the sustainable management of the Arctic environment and its broader implications for global climate change mitigation and adaptation.