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the Sun was not doing anything interesting in our analysis.
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The Sun just stood there as a source of the gravitational force.
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It's the planet that did all the orbiting
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and that was the problem in two dimensions,
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but of only one body.
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So now, we are going to enlarge our domain
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to more than one body obeying Newton's Laws.
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So, let me start with the simplest possible case:
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two bodies.
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And I will again start with the simplest case of
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their moving in one dimension;
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then, we'll put in more.