Nuclear energy, metal fuel, H2 / O2 from H2O, with MHD power and propulsion for one month astronaut rocket voyages to Mars

A method of earth orbit to a planetary landing, round trip mission with astronauts taking off in about 500,000 pound weight rocket ship that travels a direct about 75 million kilometer path in about 39 days, comprising:

• thrusting a rocket from hydrogen produced via dissociated on-board pressurized water first heated in a 3000° K pebble bed nuclear reactor;
• partially dissociating the water by the heat of nuclear reaction, wherein the partially dissociated water after heating by the 3000° K pebble bed nuclear reactor flows into a pre-combustion chamber for completely dissociating the water;
• reacting the oxygen from the complete dissociation of the water with beryllium powder thereby forming beryllium oxide liquid droplets that are directed into a slagging combustor;
• injecting supplemental hydrogen into combustion stages of the slagging combustor;
• heating dissociated hydrogen from the water to 6000° K;
• expanding the combined supplemental and dissociated hydrogen to a gas in a gas dynamic nozzle that is seeded with an alkali metal from 0.1% to 1% to render the gas electrically conducting;
• flowing the electrically conducting combined hydrogen gas through an MHD generator-accelerator that comprises a linear Faraday magnetohydrodynamic (MHD) generator channel that is co-axially attached to a MHD linear accelerator that is co-axially attached to an expanding co-axial channel;
• and
• exhausting the gas into Space from the expanding co-axial channel.