Cryogenic rocket engines use cryogenic fuels such as liquid hydrogen and liquid oxygen that must be stored at extremely low temperatures to remain liquid. They work by accelerating these cryogenic propellants to high speeds through combustion in the thrust chamber and expansion through a nozzle to produce thrust according to Newton's third law of motion. Some key cryogenic rocket engines include the RL-10, CE 7.5, and CE-20. Cryogenic engines offer high energy density and clean, economical propellants but also present challenges like boil-off, reactivity, and leakage of the cryogenic fuels.