Space shuttles are not equipped to go on long distance voyages, nor can they hold enough fuel. shuttles are mostly used for travel to and from the International Space Station and low earth orbit. If you had an infinite supply of fuel and you could just rocket in a strait path while Uranus is at the closest point in its orbit it would only take a bit over a year. Unfortunately, you have to factor in the gravitational pull of surrounding bodies and as previously stated the limited amount of fuel. so it would be much much longer.
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