What field of study is described as the gathering, managing, and analyzing of geographic information?

Geomatics is the field of study that focuses on the gathering, managing, and analyzing of geographic information. This discipline encompasses various technologies and methods used for collecting and processing spatial data, including techniques like surveying, remote sensing, and geographic information systems (GIS). The importance of geomatics lies in its ability to integrate data from different sources and provide a comprehensive understanding of spatial relationships and patterns.

In contrast, geology primarily deals with the Earth's physical structure and substances, as well as the processes that shape it, without a specific focus on the geographical data management aspect. Cartography is the art and science of map-making, which is an important component of representing geographic information but does not encompass the full breadth of data analysis and management inherent in geomatics. Aeronautics pertains to the study of flight and the design of aircraft and does not relate to the processing and analysis of geographic information.

Thus, the comprehensive nature of geomatics makes it the correct answer, as it encapsulates all aspects of handling geographic data.