國立虎尾科技大學 |

Leonhard Euler and the Foundations of Celestial Mechanics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Leonhard Euler and the Foundations of Celestial Mechanics/ by Dora Musielak.
作者:	Musielak, Dora.
面頁冊數:	XXVIII, 208 p. 65 illus., 17 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Analysis. -
電子資源:	https://doi.org/10.1007/978-3-031-12322-1
ISBN:	9783031123221

Leonhard Euler and the Foundations of Celestial Mechanics
Musielak, Dora.

Leonhard Euler and the Foundations of Celestial Mechanics[electronic resource] /by Dora Musielak. - 1st ed. 2022. - XXVIII, 208 p. 65 illus., 17 illus. in color.online resource. - History of Physics,2730-7557. - History of Physics,.

Stella Nova: Euler’s Study of Newtonian and Cartesian Physics -- Euler’s Grand Tour -- Watching the Northern Light: Basic Analysis of Celestial Mechanics -- Rhythms of the Sea: A Theory of Tides -- Beyond the Prussian Sky: Theories of Motion in the Solar System -- Cosmic Wanderers: Motion of Comets and Comet Tail Theory.

The intention of this book is to shine a bright light on the intellectual context of Euler’s contributions to physics and mathematical astronomy. Leonhard Euler is one of the most important figures in the history of science, a blind genius who introduced mathematical concepts and many analytical tools to help us understand and describe the universe. Euler also made a monumental contribution to astronomy and orbital mechanics, developing what he called astronomia mechanica. Orbital mechanics of artificial satellites and spacecraft is based on Euler’s analysis of astromechanics. However, previous books have often neglected many of his discoveries in this field. For example, orbital mechanics texts refer to the five equilibrium points in the Sun-Earth-Moon system as Lagrange points, failing to credit Euler who first derived the differential equations for the general n-body problem and who discovered the three collinear points in the three-body problem of celestial mechanics. These equilibrium points are essential today in space exploration; the James Webb Space Telescope (successor to the Hubble), for example, now orbits the Sun near L2, one of the collinear points of the Sun-Earth-Moon system, while future missions to study the universe will place observatories in orbit around Sun-Earth and Earth-Moon equilibrium points that should be properly called Euler-Lagrange points. In this book, the author uses Euler’s memoirs, correspondence, and other scholarly sources to explore how he established the mathematical groundwork for the rigorous study of motion in our Solar System. The reader will learn how he studied comets and eclipses, derived planetary orbits, and pioneered the study of planetary perturbations, and how, old and blind, Euler put forward the most advanced lunar theory of his time.

ISBN: 9783031123221

Standard No.: 10.1007/978-3-031-12322-1doiSubjects--Topical Terms:

669490
Analysis.

LC Class. No.: QC6.9-9

Dewey Class. No.: 509

Leonhard Euler and the Foundations of Celestial Mechanics
LDR:03602nam a22004335i 4500 001 1085034
003 DE-He213
005 20221101054001.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783031123221 $9 978-3-031-12322-1
024 7 $a 10.1007/978-3-031-12322-1 $2 doi
035 $a 978-3-031-12322-1
050 4 $a QC6.9-9
072 7 $a PDX $2 bicssc
072 7 $a PH $2 bicssc
072 7 $a SCI004000 $2 bisacsh
072 7 $a PDX $2 thema
072 7 $a PH $2 thema
082 0 4 $a 509 $2 23
100 1 $a Musielak, Dora. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1319097
245 1 0 $a Leonhard Euler and the Foundations of Celestial Mechanics $h [electronic resource] / $c by Dora Musielak.
250 $a 1st ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a XXVIII, 208 p. 65 illus., 17 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a History of Physics, $x 2730-7557
505 0 $a Stella Nova: Euler’s Study of Newtonian and Cartesian Physics -- Euler’s Grand Tour -- Watching the Northern Light: Basic Analysis of Celestial Mechanics -- Rhythms of the Sea: A Theory of Tides -- Beyond the Prussian Sky: Theories of Motion in the Solar System -- Cosmic Wanderers: Motion of Comets and Comet Tail Theory.
520 $a The intention of this book is to shine a bright light on the intellectual context of Euler’s contributions to physics and mathematical astronomy. Leonhard Euler is one of the most important figures in the history of science, a blind genius who introduced mathematical concepts and many analytical tools to help us understand and describe the universe. Euler also made a monumental contribution to astronomy and orbital mechanics, developing what he called astronomia mechanica. Orbital mechanics of artificial satellites and spacecraft is based on Euler’s analysis of astromechanics. However, previous books have often neglected many of his discoveries in this field. For example, orbital mechanics texts refer to the five equilibrium points in the Sun-Earth-Moon system as Lagrange points, failing to credit Euler who first derived the differential equations for the general n-body problem and who discovered the three collinear points in the three-body problem of celestial mechanics. These equilibrium points are essential today in space exploration; the James Webb Space Telescope (successor to the Hubble), for example, now orbits the Sun near L2, one of the collinear points of the Sun-Earth-Moon system, while future missions to study the universe will place observatories in orbit around Sun-Earth and Earth-Moon equilibrium points that should be properly called Euler-Lagrange points. In this book, the author uses Euler’s memoirs, correspondence, and other scholarly sources to explore how he established the mathematical groundwork for the rigorous study of motion in our Solar System. The reader will learn how he studied comets and eclipses, derived planetary orbits, and pioneered the study of planetary perturbations, and how, old and blind, Euler put forward the most advanced lunar theory of his time.
650 2 4 $a Analysis. $3 669490
650 2 4 $a Classical Mechanics. $3 1140387
650 2 4 $a Space Exploration and Astronautics. $3 671287
650 2 4 $a Biographies of Physicists and Astronomers. $3 1388804
650 2 4 $a Newtonian Physics. $3 1391430
650 1 4 $a History of Physics and Astronomy. $3 1366357
650 0 $a Mathematical analysis. $3 527926
650 0 $a Mechanics. $3 527684
650 0 $a Astronautics. $3 646219
650 0 $a Outer space—Exploration. $3 1365943
650 0 $a Astronomers—Biography. $3 1388803
650 0 $a Physicists—Biography. $3 1388802
650 0 $a Gravitation. $3 591793
650 0 $a Physics—History. $3 1366356
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783031123214
776 0 8 $i Printed edition: $z 9783031123238
776 0 8 $i Printed edition: $z 9783031123245
830 0 $a History of Physics, $x 2730-7557 $3 1355731
856 4 0 $u https://doi.org/10.1007/978-3-031-12322-1
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)