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So quite often, in the past,
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whenever a theory is accepted,
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it's because the consequences can be worked out
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and compared to the experiment.
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But you could be in a position
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where you have the right theory and the right equations,
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but you cannot solve them.
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Anyway, this one happens to be solvable.
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If I change the force law to 1/r to the 2.1,
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then it's a different story.
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Anyway, so we want to solve it but we cannot do the ellipse;
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it's too hard.