NASA's KRUSTY proved a 1 kW fission reactor runs on a 28 kg uranium core. The core is small. Everything around it is heavy. Very heavy.
Shielding, containment vessels, heat exchangers, and structural housings dominate the mass budget of any surface fission system.
They weight tons.
Total FSP system mass: NASA specified a maximum of 6,000 kg (6 metric tons). But actual design studies showed ~10,000 kg landed mass was needed - and that's excluding the mobility system.
The shielding is the mass problem:- Reactor core + shadow shield alone: ~900-1,400 kg
- Radiation shield mass for a 100 kW(t) reactor: 8,600 kg
- Radiation shield mass scaling up to 1,000 kW(t): 20,580 kg
- Self-deployed concepts with Earth-launched shielding double the total system mass vs. in-situ shielded concepts
NASA's own studies identify the "preferred implementation approach" as using in-situ radiation shielding - meaning manufactured from lunar regolith. But none of the three FSP prime contractors are scoped to do that. The alternative is launching all shielding from Earth, which doubles the system mass to 10,000+ kg per reactor.
At $500K-$1.2M per kg to the lunar surface, that's $5-12 billion just in launch costs for the shielding of a single reactor.