Meteorology?

I'd say Astrogeology. Astrogeology is like Earth Science but for other bodies in our solar system. And since meteors are bodies in our solar system much smaller than planets though their chemical and physical composition should be the realm of Astrogeologists. The field is also sometimes called planetary geology, exogeology or xenogeology.

study of meteors is called astronomy i guess. astro meaning space and since meteors are in space, they must be the core study of astronomers.

the meteor's study is astronomy

Meteorology is the scientific study of the atmosphere that focuses on weather processes and forecasting. Meteorological phenomena are observable weather events which illuminate and are explained by the science of meteorology. Those events are bound by the variables that exist in Earth's atmosphere. They are temperature, pressure, water vapor, and the gradients and interactions of each variable, and how they change in time. The majority of Earth's observed weather is located in the troposphere.