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The three-body problem and the equat...

Poincare, Henri.

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The three-body problem and the equations of dynamics = Poincare's foundational work on dynamical systems theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The three-body problem and the equations of dynamics/ by Henri Poincare (deceased) ; translated by Bruce D. Popp.
Reminder of title:	Poincare's foundational work on dynamical systems theory /
Author:	Poincare, Henri.
other author:	Popp, Bruce D.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xxii, 248 p. :ill., digital ;24 cm.
[NT 15003449]:	Translator's Preface -- Author's Preface -- Part I. Review -- Chapter 1 General Properties of the Differential Equations -- Chapter 2 Theory of Integral Invariants -- Chapter 3 Theory of Periodic Solutions -- Part II. Equations of Dynamics and the N-Body Problem -- Chapter 4 Study of the Case with Only Two Degrees of Freedom -- Chapter 5 Study of the Asymptotic Surfaces -- Chapter 6 Various Results -- Chapter 7 Attempts at Generalization -- Erratum. References -- Index.
Contained By:	Springer eBooks
Subject:	Three-body problem. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-52899-1
ISBN:	9783319528991

The three-body problem and the equations of dynamics = Poincare's foundational work on dynamical systems theory /
Poincare, Henri.

The three-body problem and the equations of dynamicsPoincare's foundational work on dynamical systems theory /[electronic resource] :by Henri Poincare (deceased) ; translated by Bruce D. Popp. - Cham :Springer International Publishing :2017. - xxii, 248 p. :ill., digital ;24 cm. - Astrophysics and space science library,4430067-0057 ;. - Astrophysics and space science library ;443..

Translator's Preface -- Author's Preface -- Part I. Review -- Chapter 1 General Properties of the Differential Equations -- Chapter 2 Theory of Integral Invariants -- Chapter 3 Theory of Periodic Solutions -- Part II. Equations of Dynamics and the N-Body Problem -- Chapter 4 Study of the Case with Only Two Degrees of Freedom -- Chapter 5 Study of the Asymptotic Surfaces -- Chapter 6 Various Results -- Chapter 7 Attempts at Generalization -- Erratum. References -- Index.

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.

ISBN: 9783319528991

Standard No.: 10.1007/978-3-319-52899-1doiSubjects--Topical Terms:

612480
Three-body problem.

LC Class. No.: QB362.T5

Dewey Class. No.: 530.14

The three-body problem and the equations of dynamics = Poincare's foundational work on dynamical systems theory /
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505 0 $a Translator's Preface -- Author's Preface -- Part I. Review -- Chapter 1 General Properties of the Differential Equations -- Chapter 2 Theory of Integral Invariants -- Chapter 3 Theory of Periodic Solutions -- Part II. Equations of Dynamics and the N-Body Problem -- Chapter 4 Study of the Case with Only Two Degrees of Freedom -- Chapter 5 Study of the Asymptotic Surfaces -- Chapter 6 Various Results -- Chapter 7 Attempts at Generalization -- Erratum. References -- Index.
520 $a 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.
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