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Linear and Regular Celestial Mechanics: Perturbed Two-Body Motion Numerical Methods Canonical Theory

Condition: BRAND NEW
ISBN: 9783642650291
Author(s): Eduard L. Stiefel
Format: Paperback
Year: 2011
Publisher: Springer
Dimensions: 156 x 234 x 17 (w x l x h)
Pages: 306
Series: Die Grundlehren Der Mathematischen Wissenschaften
Series Number: 174

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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 Keple Please click here to ask a question
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