The orbital period $$T$$ of an asteroid can be calculated using Kepler's third law:
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For example, the distance to the asteroid Vesta is about $$2.5 \ AU$$, and the travel time to Vesta using a spacecraft with a velocity of $$20 \ km/s$$ would be: The orbital period $$T$$ of an asteroid can
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$$T = 2\pi \sqrt\fracr^3GM$$