The general trend towards increasing interest in the use of non-geostationary orbits (non-GSO) is gaining momentum. Global non-GSO systems are being launched in batches of satellites, and some already serve dozens of countries. The International Telecommunication Union (ITU) strives to keep pace with the fast development of technologies and ensure regulatory clarity in the use of radio frequencies and associated orbits, which are limited natural resources. An important step for their rational, efficient and economical use by satellite constellations was taken at the ITU World Radiocommunication Conference (WRC) in 2019. The application of new rules for bringing into use and phased deployment of non-GSO systems has already begun, and new gaps in post-deployment regulation have been identified. This paper describes possible ways to regulate the operation of satellite constellations in a post-deployment environment, as they were developed in preparation for the 2023 WRC.