On the history of the deduction of Kepler's laws from the laws of mechanics (Q2713247)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the history of the deduction of Kepler's laws from the laws of mechanics |
scientific article |
Statements
21 June 2001
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Newton's solution
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Johann Bernoulli's solution
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Hermann's solution
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Runge-Lenz vector
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Kepler problem
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On the history of the deduction of Kepler's laws from the laws of mechanics (English)
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In this paper the world-wide recognized expert in the theory of dynamical systems (cf. Anosov hyperbolic systems) describes the first three solutions of Kepler problem obtained by I. Newton, Johann Bernoulli, and J. Hermann (1678-1733), a disciple of Jakob Bernoulli. The last, less known solution introduces for the first time the so-called ``Runge-Lenz vector''. A beautiful essay on the history of mathematical analysis.
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