Methods of Celestial Mechanics : Volume I: Physical, Mathematical, and Numerical Principles

G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students in physics, mathematics and engineering as well as an excellent reference for practitioners. This Volume I gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a...

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Bibliografiska uppgifter
Huvudupphovsman: Beutler, Gerhard
Materialtyp: Livre numérique
Språk:Anglais
Publicerad: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Upplaga:1st ed. 2005.
Serie:Astronomy and Astrophysics Library
Länkar:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Anmärkning: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Variante du titre:In cooperation with Prof. Leos Mervart and Dr. Andreas Verdun
Edition sous un autre format:• Methods of Celestial Mechanics, Texte imprimé, 9783540829171
• Methods of Celestial Mechanics, Texte imprimé, 9783642105296
• Methods of celestial mechanics, Gerhard Beutler, 2005, Berlin, Springer, 2 v. (XVI-464, XVI-448 p.), A & A library, 3-540-40749-9
• Methods of celestial mechanics, Gerhard Beutler, 2005, Berlin, Springer, 2 v. (XVI-464, XVI-448 p.), A & A library, 3-540-40749-9
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245 1 0 |a Methods of Celestial Mechanics :  |b Volume I: Physical, Mathematical, and Numerical Principles   |c by Gerhard Beutler. 
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505 1 |a Physical, Mathematical, and Numerical Principles Overview of the Work Historical Background The Equations of Motion The Two- and the Three-Body Problems Variational Equations Theory of Perturbations Numerical Solution of Ordinary Differential Equations: Principles and Concepts Orbit Determination and Parameter Estimation. 
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520 |a G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students in physics, mathematics and engineering as well as an excellent reference for practitioners. This Volume I gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. After a brief review of the history of celestial mechanics, the equations of motion (Newtonian and relativistic versions) are developed for planetary systems (N-body-problem), for artificial Earth satellites, and for extended bodies (which includes the problem of Earth and lunar rotation). Perturbation theory is outlined in an elementary way from generally known mathematical principles without making use of the advanced tools of analytical mechanics. The variational equations associated with orbital motion - of fundamental importance for parameter estimation (e.g., orbit determination), numerical error propagation, and stability considerations - are introduced and their properties discussed in considerable detail. Numerical methods, especially for orbit determination and orbit improvement, are discussed in considerable depth. The algorithms may be easily applied to objects of the planetary system and to Earth satellites and space debris. 
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