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It depends on the speed, the propulsion, and the orbit used. A conventional chemical rocket, with very limited fuel, could take several years. While there are no continuous thrust rockets yet available, if you could accelerate at 1 g, your travel time to Saturn would be about 2 weeks, depending on where the Earth and Saturn were in their orbits.

Of course, if the question were "When will people get to Saturn", the answer is probably "In about 50 years". NASA does not currently have the ability to send people back to the Moon, and won't for another 10 years. After that, it will be a question of costs and priorities.

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10y ago

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