What asteroids and comets have come closest to the Earth?
The simplest answer to this question are all the asteroids and comets that have actually collided with Earth throughout Geological time.
Our close approach table has information on all known close approaches in the next 33 years. Information on past close approaches to the Earth can be seen at the Minor Planet Center and the NASA NEO Program.
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What objects are going to pass near the earth in the next year?
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