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商品詳細
The Three-Body Problem and the Equations of Dynamics : Poincare's Foundational Work on Dynamical Systems Theory. Softcover reprint of the original 1st ed. 2017.
・ISBN 978-3-319-85012-2 paper EUR 139.99
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| 著者・編者 | Poincare, Henri, |
|---|---|
| シリーズ | Astrophysics and Space Science Library |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 248 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-3673＞ |
解説
Here is an accurate and readable translation of a seminal article by Henri Poincare that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincare applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations' solutions, such as orbital resonances and horseshoe orbits.
Poincare wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating.