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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Theoretische Physik Linear and Regular Celestial Mechanics
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Linear and Regular Celestial Mechanics
Eduard L. Stiefel, Gerhard Scheifele (Broschiert, Englisch)
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Beschreibung
Our presentation of some fundamental domains of celestial mechanics requires no special preliminary knowledge; however, the chosen mathe matical method is new in so far as the pure two-body motion is described by linear differential equations, which even have constant coefficients. In other words an equivalence between the Keplerian motion and a harmonic oscillation is established; this approach… to celestial mechanics will be referred to as the linear theory. Besides the possibility of the mutual fruitful interaction between celestial and oscillatory mechanics which is thereby created, our linear differential equations are as a result everywhere regular. The opposite is true of the classical Newtonian equations, which are singular at the collision of the two moving bodies"'Reg~larization is however not the leitmotiv of the book; the many regularization methods [1] which do not lead to linear differential equations are therefore not described. Apart from the basic idea of the use of linear differential equations and the resulting advantages, there were two further scientific goals which we had in mind. First, it should be permissible not only to transform the coordinates of the mobile but also to introduce other independent variables instead of the time. The often cumbersome solution of the Keplerian equation in theoretical studies can thereby be avoided. This leads to the further consequence that the linear theory is uniform with respect to the value of the eccentricity. 117,69 €
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Technische Daten
Erscheinungsdatum
24.10.2011
Sprache
Englisch
EAN
9783642650291
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Grundlehren der mathematischen Wissenschaften
Sonderedition
Nein
Autor
Eduard L. Stiefel, Gerhard Scheifele
Seitenanzahl
306
Einbandart
Broschiert
Buch Untertitel
Perturbed Two-body Motion Numerical Methods Canonical Theory
Schlagwörter
Himmelsmechanik
Thema-Inhalt
PHU - Mathematische Physik
PG - Astronomie, Raum und Zeit
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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