On the one hand, I also think it's likely safe: we've had a huge nuclear reactor in the sky since before life happened, the atmosphere and the magnetosphere are pretty effective barriers. (I think they're more worried about actinides than impactors).
On the other, I'm not sure where your 15 kg came from.
This matters, because fancy fuels matter a lot more for higher-mass or high-Δv payloads than smaller ones.
A fission fragment rocket can be Isp of 1,000,000[1] depending on the exact details — thrust is proportional to momentum (mv), not energy (0.5(mv^2)), and that means four million times the energy density is two thousand times the momentum and thrust, so that 15 kg is like 30 tons of conventional propellant: a nice saving, but you'd use a lot more than that for e.g. a manned mission to Mars.
For missions where the payload rather than the speed is critical, fuel is also a small fraction of total mass, so you also get a performance boost from being able to approximate the Tsiolkovsky rocket equation as linear.
But that's perhaps another factor of 10, which is still roughly 25% of a Starship upper stage, so even then I'd expect at least 60 kg even if the engine itself can be considered negligible in both cases.
And that's likely to be burned through much sooner than Pluto, though it depends on the details of the design. The ship would likely melt if you tried to thrust at 1 gee, but I think it would still be comparable to the Earth-Moon distance, give or take a factor of 3.
If you want something that burns from here to Pluto, then… huh, I was going to say you're likely back in Tsiolkovsky's realm, but apparently still not, and also still sub-relativistic (~ 1 milli-c for the specific values I was using).
Which is still safe, I just don't think it's quite as trivial as you say.
Honestly, I might have misremembered the fuel mass. I tried looking for the paper I read about this design, but I couldn’t find it. It’s been a whole year since I read it, and I guess they don’t think hosting it is useful anymore.
On the other, I'm not sure where your 15 kg came from.
This matters, because fancy fuels matter a lot more for higher-mass or high-Δv payloads than smaller ones.
A fission fragment rocket can be Isp of 1,000,000[1] depending on the exact details — thrust is proportional to momentum (mv), not energy (0.5(mv^2)), and that means four million times the energy density is two thousand times the momentum and thrust, so that 15 kg is like 30 tons of conventional propellant: a nice saving, but you'd use a lot more than that for e.g. a manned mission to Mars.
For missions where the payload rather than the speed is critical, fuel is also a small fraction of total mass, so you also get a performance boost from being able to approximate the Tsiolkovsky rocket equation as linear.
But that's perhaps another factor of 10, which is still roughly 25% of a Starship upper stage, so even then I'd expect at least 60 kg even if the engine itself can be considered negligible in both cases.
And that's likely to be burned through much sooner than Pluto, though it depends on the details of the design. The ship would likely melt if you tried to thrust at 1 gee, but I think it would still be comparable to the Earth-Moon distance, give or take a factor of 3.
If you want something that burns from here to Pluto, then… huh, I was going to say you're likely back in Tsiolkovsky's realm, but apparently still not, and also still sub-relativistic (~ 1 milli-c for the specific values I was using).
Which is still safe, I just don't think it's quite as trivial as you say.
[1] https://en.wikipedia.org/wiki/Fission-fragment_rocket