Title Methods of Celestial Mechanics : Volume I: Physical, Mathematical, and Numerical Principles Author(s) Beutler, Gerhard Publication Berlin, Heidelberg, Springer Berlin Heidelberg, 2005. Description XVI, 466 p : online resource Abstract Note 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 ISBN,Price 9783540268703 Keyword(s) 1. ASTROPHYSICS 2. Astrophysics and Astroparticles 3. CLASSICAL MECHANICS 4. Computational Science and Engineering 5. Computer mathematics 6. EBOOK 7. EBOOK - SPRINGER 8. MECHANICS 9. Numerical and Computational Physics, Simulation 10. PHYSICS Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I08353     On Shelf