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An Introduction to Celestial Mechanics

Autor Richard Fitzpatrick
en Limba Engleză Hardback – 27 iun 2012
This accessible text on classical celestial mechanics, the principles governing the motions of bodies in the Solar System, provides a clear and concise treatment of virtually all of the major features of solar system dynamics. Building on advanced topics in classical mechanics such as rigid body rotation, Langrangian mechanics and orbital perturbation theory, this text has been written for advanced undergraduates and beginning graduate students in astronomy, physics, mathematics and related fields. Specific topics covered include Keplerian orbits, the perihelion precession of the planets, tidal interactions between the Earth, Moon and Sun, the Roche radius, the stability of Lagrange points in the three-body problem and lunar motion. More than 100 exercises allow students to gauge their understanding and a solutions manual is available to instructors. Suitable for a first course in celestial mechanics, this text is the ideal bridge to higher level treatments.
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Specificații

ISBN-13: 9781107023819
ISBN-10: 1107023815
Pagini: 276
Ilustrații: 73 b/w illus. 8 tables 124 exercises
Dimensiuni: 183 x 262 x 18 mm
Greutate: 0.66 kg
Ediția:New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:New York, United States

Cuprins

Preface; 1. Newtonian mechanics; 2. Newtonian gravity; 3. Keplerian orbits; 4. Orbits in central force-fields; 5. Rotating reference frames; 6. Lagrangian mechanics; 7. Rigid body rotation; 8. Three-body problem; 9. Secular perturbation theory; 10. Lunar motion; Appendix A: useful mathematics; Appendix B: derivation of Lagrange planetary equations; Appendix C: expansion of orbital evolution equations; Bibliography; Index.

Recenzii

'Fitzpatrick presents a clear exposition of the main principles of celestial mechanics … Each chapter ends with a number of well-thought-out problems with a nice range of difficulty from straightforward to quite challenging. The author designed the book for upper-level undergraduates and beginning graduate students who have completed courses in classical mechanics and multivariate vector calculus. Professionals from other branches of astronomy will also find this a handy review and reference … Highly recommended.' R. R. Erickson, Choice
'I found the text well written and illustrated, and the material has clearly undergone several tests in the classroom … I recommend this stimulating book to anyone interested in making first steps in celestial mechanics.' Thomas Peters, Contemporary Physics
'This is a first-rate text to use as a senior-undergraduate text in celestial mechanics. I recommend it strongly without reservation.' The Observatory: A Review of Astronomy
'Fitzpatrick's text is excellent … [his] exposition is relatively flawless in its execution … [this book] is a valuable addition to the pedagogy of the field and has perhaps the clearest exposition of any celestial mechanics text for upper-level undergraduate students. For some students, Fitzpatrick will be approaching perfection.' Arlin Crotts, Physics Today

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Descriere

A clear, concise introduction to all the major features of solar system dynamics, ideal for a first course.