Prove that isotropy of space or rotational inversence of space leads to conservation of angular momentum
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The concept of angular momentum has undergone an interesting evolution in physics. Kepler discovered the law of areas (really a law of angular-momentum conservation) as an empirical fact long before angular momentum entered the vocabulary or the tool-kit of physics. Still without the help of the angular-momentum concept, Newton related the law of areas to the action of a central force.
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