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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Autor principal: Beutler, Gerhard
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edició:1st ed. 2005.
Col·lecció:Astronomy and Astrophysics Library
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Accès Université d'Orléans
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Nota: 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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Sumari: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.
Descripció de l’ítem:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540268703
ISSN:2196-9698
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