Publication details
Historie Lagrangeova-Laplaceova důkazu stability sluneční soustavy
| Title in English | History of Lagrange s - Laplace s proof of the stability of the solar system |
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| Authors | |
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Československý časopis pro fyziku |
| MU Faculty or unit | |
| Citation | |
| Field | Astronomy and astrophysics |
| Keywords | celestial mechanics; stability of solar system; Lagrange; Laplace |
| Description | Article discusses influence of the great inequality of Jupiter and Saturn on the stability of the solar system. Main theoretical side of study planetary perturbations was method of variation of orbital parameters, which evolved by Euler and Lagrange in the eighteenth century. Subsequently Laplace introduced a method for solving a collection of simultaneous differential equations suited for planetary perturbation theory. He clarified that are limited the variations of the orbital elements - excentricities, inclinations and semi-major axes. This was the proof of stability of the solar system. |