Hall-effect thrusters is a research field focusing on a class of electric space propulsion systems. It investigates the fundamental principles and practical applications of accelerating plasma using crossed electric and magnetic fields to generate thrust for spacecraft. This academic concept encompasses the study of plasma physics within the thruster channel, the design and optimization of magnetic and electric field configurations, propellant ionization and acceleration mechanisms, thruster performance characteristics (efficiency, specific impulse, thrust), lifetime limitations, and scaling laws. Its significance lies in providing a high-efficiency propulsion method widely utilized for satellite station-keeping, orbit raising, and deep-space missions.