Curious question: as a private company, how do you determine your lunar orbit parameters after a burn? Are they leveraging Earth/orbit-based radar? Or satellites around the moon? Or something else?
Intuitive Machines is operating under a NASA contract for Commercial Lunar Payload Services (CLPS) [1]. As such, they can negotiate access to NASA resources such as DSN and NEN for this mission. Intuitive Machines has also built several ground stations of their own [2]. These allow communications with the spacecraft as well as the range/velocity measurements needed for accurate navigation.
I'm the longer term, the Artemis program plans to build out LunaNet [3] for improved communications and GPS-like navigation services.
[1] https://www.nasa.gov/missions/artemis/clps/intuitive-machine...
[2] https://www.intuitivemachines.com/post/commercial-lunar-netw...
[3] https://www.nasa.gov/humans-in-space/lunanet-empowering-arte...