Methods of Celestial Mechanics : Volume I: Physical, Mathematical, and Numerical Principles /
By: Beutler, Gerhard [author.].
Contributor(s): SpringerLink (Online service).
Material type:
BookSeries: Astronomy and Astrophysics Library: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.Description: XVI, 466 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540268703.Other title: In cooperation with Prof. Leos Mervart and Dr. Andreas Verdun.Subject(s): Physics | Computer mathematics | Mechanics | Astrophysics | Physics | Astrophysics and Astroparticles | Numerical and Computational Physics | Computational Science and Engineering | MechanicsDDC classification: 523.01 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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E books
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PK Kelkar Library, IIT Kanpur | Available | EBK6743 |
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.
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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