Newton's solution to the equiangular spiral problem and a new solution using only the equiangular property (Q1206490)
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scientific article; zbMATH DE number 149018
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Newton's solution to the equiangular spiral problem and a new solution using only the equiangular property |
scientific article; zbMATH DE number 149018 |
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Newton's solution to the equiangular spiral problem and a new solution using only the equiangular property (English)
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1 April 1993
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As part of the current interest in inverse orbit problems in Newton's Principia, the author queries the legitimacy of the proof in Book 1, Proposition 9 that the equiangular spiral requires an inverse cube law. He outlines some of the difficulties of the proof and offers a new solution.
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Newton's Principia
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orbits
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0.8789211
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0.8152187
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0.8104917
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0.7963239
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0.7934263
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