This document provides an overview of comets and their importance. It begins with a brief introduction describing comets as "dirty balls of ice" with tails that form when they pass by the sun. It then discusses the historical observations of comets and modern scientific study of their structure and composition. The document outlines that comets are composed of an icy nucleus surrounded by a coma of gas and dust, and that studying their composition provides insights into the early solar system. It concludes by summarizing several past and present space missions that have visited and imaged comets to learn more about their properties.