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Title: | The Three-Body Problem and the Equations of Dynamics |

Other Titles: | Poincar???s Foundational Work on Dynamical Systems Theory / |

Authors: | Poincar?, Henri. ; |

subject: | Mathematics;Dynamics;Ergodic theory. ;;Astrophysics. ;;Physics;Mathematics;Dynamical Systems and Ergodic Theory. ;;Statistical Physics and Dynamical Systems. ;;Astrophysics and Astroparticles. ;;History and Philosophical Foundations of Physics. ;;Planetary Sciences. ;;515.39 ; 23 ;;515.48 ; 23 ;;QA313 ; |

Year: | 2017 |

place: | Cham : |

Publisher: | Springer International Publishing : Imprint: Springer, |

Series/Report no.: | Astrophysics and Space Science Library, ; 0067-0057 ; ; 443. ; Astrophysics and Space Science Library, ; 0067-0057 ; ; 443. ; |

Abstract: | Here is an accurate and readable translation of a seminal article by Henri Poincar? 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, Poincar? 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. Poincar? 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. . ; |

Description: | No author Printed edition: ; 9783319528984. ; No author |

URI: | http://localhost/handle/Hannan/274888 |

ISBN: | 9783319528991 ; 9783319528984 (print) ; |

More Information: | XXII, 248 p. 9 illus. ; online resource. ; |

Appears in Collections: | Math |

Files in This Item:

File | Size | Format | |
---|---|---|---|

9783319528991.pdf | 2.7 MB | Adobe PDF |

Title: | The Three-Body Problem and the Equations of Dynamics |

Other Titles: | Poincar???s Foundational Work on Dynamical Systems Theory / |

Authors: | Poincar?, Henri. ; |

subject: | Mathematics;Dynamics;Ergodic theory. ;;Astrophysics. ;;Physics;Mathematics;Dynamical Systems and Ergodic Theory. ;;Statistical Physics and Dynamical Systems. ;;Astrophysics and Astroparticles. ;;History and Philosophical Foundations of Physics. ;;Planetary Sciences. ;;515.39 ; 23 ;;515.48 ; 23 ;;QA313 ; |

Year: | 2017 |

place: | Cham : |

Publisher: | Springer International Publishing : Imprint: Springer, |

Series/Report no.: | Astrophysics and Space Science Library, ; 0067-0057 ; ; 443. ; Astrophysics and Space Science Library, ; 0067-0057 ; ; 443. ; |

Abstract: | Here is an accurate and readable translation of a seminal article by Henri Poincar? 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, Poincar? 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. Poincar? 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. . ; |

Description: | No author Printed edition: ; 9783319528984. ; No author |

URI: | http://localhost/handle/Hannan/274888 |

ISBN: | 9783319528991 ; 9783319528984 (print) ; |

More Information: | XXII, 248 p. 9 illus. ; online resource. ; |

Appears in Collections: | Math |

Files in This Item:

File | Size | Format | |
---|---|---|---|

9783319528991.pdf | 2.7 MB | Adobe PDF |

Title: | The Three-Body Problem and the Equations of Dynamics |

Other Titles: | Poincar???s Foundational Work on Dynamical Systems Theory / |

Authors: | Poincar?, Henri. ; |

subject: | Mathematics;Dynamics;Ergodic theory. ;;Astrophysics. ;;Physics;Mathematics;Dynamical Systems and Ergodic Theory. ;;Statistical Physics and Dynamical Systems. ;;Astrophysics and Astroparticles. ;;History and Philosophical Foundations of Physics. ;;Planetary Sciences. ;;515.39 ; 23 ;;515.48 ; 23 ;;QA313 ; |

Year: | 2017 |

place: | Cham : |

Publisher: | Springer International Publishing : Imprint: Springer, |

Series/Report no.: | Astrophysics and Space Science Library, ; 0067-0057 ; ; 443. ; Astrophysics and Space Science Library, ; 0067-0057 ; ; 443. ; |

Abstract: | Here is an accurate and readable translation of a seminal article by Henri Poincar? 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, Poincar? 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. Poincar? 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. . ; |

Description: | No author Printed edition: ; 9783319528984. ; No author |

URI: | http://localhost/handle/Hannan/274888 |

ISBN: | 9783319528991 ; 9783319528984 (print) ; |

More Information: | XXII, 248 p. 9 illus. ; online resource. ; |

Appears in Collections: | Math |

Files in This Item:

File | Size | Format | |
---|---|---|---|

9783319528991.pdf | 2.7 MB | Adobe PDF |