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Overview"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." Full Product DetailsAuthor: Eduard L. Stiefel , Gerhard ScheifelePublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of the original 1st ed. 1971 Volume: 174 Dimensions: Width: 15.50cm , Height: 1.70cm , Length: 23.50cm Weight: 0.493kg ISBN: 9783642650291ISBN 10: 3642650295 Pages: 306 Publication Date: 24 October 2011 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsI Basic and Numerical Theory.- I Preliminaries.- II Regularized Theory.- III Kepler Motion.- IV The Initial Value Problem.- V The Fundamental Differential Equations.- VI Typical Perturbations.- VII Refmed Numerical Methods.- II Canonical Theory.- VIII General Canonical Theory.- IX Classical Canonical Theory of the Perturbations of Elements.- X The Canonical Theory of the Oscillator Generated by the Perturbed Problem of two Bodies.- III Geometry and Outlook.- XI Geometry of the KS-Transformation.- Outlook.- References.- Author and Subject Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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