Both ships share the same dry mass and the same propellant budget — the only difference is the engine. The Tsiolkovsky rocket equation says the total velocity change a ship can ever achieve depends only on specific impulse (Isp) and the mass ratio, not on thrust:
Δv_max = Isp · g₀ · ln(m₀ / m_dry)
ṁ = F / (Isp · g₀) a(t) = F / m(t)
- Chemical burns fuel + oxidizer; combustion energy and molecule weight cap Isp, but the reaction can release propellant fast → high thrust, brief high-g burn.
- Nuclear thermal uses reactor heat to fling light hydrogen out the nozzle at much higher temperature → far higher Isp and Δv from the same propellant, but heat transfer into the flow limits mass flow rate → lower thrust, a long gentle burn.
- Watch the chemical ship sprint and burn out early while the nuclear ship keeps quietly accelerating — and still ends up faster and farther on the same propellant.