國立高雄大學圖資館 |

Language: English

Back

The three-body problem and the equat...

Poincare, Henri.

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	The three-body problem and the equations of dynamicsby 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.
Contained By:	Springer eBooks
Subject:	Three-body problem.
Online resource:	http://dx.doi.org/10.1007/978-3-319-52899-1
ISBN:	9783319528991$q(electronic bk.)

The three-body problem and the equations of dynamicsPoincare'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 ;379..

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$q(electronic bk.)

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

466467
Three-body problem.

LC Class. No.: QB362.T5

Dewey Class. No.: 530.14

The three-body problem and the equations of dynamicsPoincare's foundational work on dynamical systems theory /
LDR:02488nmm a2200337 a 4500 001 515448
003 DE-He213
005 20170512074729.0
006 m d
007 cr nn 008maaau
008 180126s2017 gw s 0 eng d
020 $a 9783319528991$q(electronic bk.)
020 $a 9783319528984$q(paper)
024 7 $a 10.1007/978-3-319-52899-1 $2 doi
035 $a 978-3-319-52899-1
040 $a GP $c GP
041 1 $a eng $h fre
050 4 $a QB362.T5
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 530.14 $2 23
090 $a QB362.T5 $b P751 2017
100 1 $a Poincare, Henri. $3 785900
240 1 0 $a Sur le probleme des trois corps et les equations de la dynamique. $l English
245 1 4 $a The three-body problem and the equations of dynamics $h [electronic resource] : $b Poincare's foundational work on dynamical systems theory / $c by Henri Poincare (deceased) ; translated by Bruce D. Popp.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xxii, 248 p. : $b ill., digital ; $c 24 cm.
490 1 $a Astrophysics and space science library, $x 0067-0057 ; $v 443
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.
650 0 $a Three-body problem. $3 466467
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
650 2 4 $a Statistical Physics and Dynamical Systems. $3 760415
650 2 4 $a Astrophysics and Astroparticles. $3 376943
650 2 4 $a History and Philosophical Foundations of Physics. $3 376851
650 2 4 $a Planetary Sciences. $3 771512
700 1 $a Popp, Bruce D. $3 785901
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Astrophysics and space science library ; $v 379. $3 557835
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-52899-1
950 $a Physics and Astronomy (Springer-11651)