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SOLAR ONE
Solar One is a new type of interstellar spacecraft that combines beamed-powered propulsion, electromagnetic propulsion, and nuclear fusion.
The spacecraft could be able to reach 30% the speed of light.
The main challenges are:
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Build a system of mirrors to use sunlight for the acceleration.
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Reduce the weight of the on-board reactor and laser.
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Protect the spacecraft from dust and cosmic rays.
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Achieve cryo-sleep and artificial gravity.
I encourage you to work on these challenges.
Here you can find related research as starting point:
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