Detailed battery models are required for accurate Electric Power System (EPS) simulations of satellites in various LEO, MEO, and GEO missions. Older and outdated models had used various power margins to over-estimate the size and weight of the satellite EPS for a given mission. Today's models incorporate the use of databases of battery test data from various testing facilities to much better and more accurately predict past, current, and future mission battery behavior. This paper describes various battery types, cell types, a database of data that have been collected and analyzed, and overviews the detailed models that have been developed for applications from that data. The battery models include Nickel Hydrogen, Lithium Ion, and Nickel Cadmium battery cells. Independent variables for these models include capacity, number of cells, charging and discharging, charge and discharge rates, temperature, and battery cell age. Model options also include cell dropouts vs. time, and variable sensitivity analyses. These models have been benchmarked to their corresponding data, and have been implemented into various simulation studies for various missions, such as for the Hubble Space Telescope battery depletion problem. The use of these models provides much more accurate simulations of EPS behavior, battery degradation, and lifetime estimates that are needed in the Aerospace Industry today.