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An Introduction to Celestial Mechanics

$69.00

textbook
  • Date Published: June 2012
  • availability: In stock
  • format: Hardback
  • isbn: 9781107023819

$69.00
Hardback

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  • 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.

    • Clear, concise and relatively low-level mathematical treatment of virtually all the major features of solar system dynamics
    • Provides a bridge between undergraduate and graduate level coursework in the field, filling a gap in the present market
    • More than 100 exercises will help students gain proficiency in classical mechanics as they encounter classic problems in celestial mechanics
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    Reviews & endorsements

    "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, Lycoming College, CHOICE March 2013

    "Fitzpatrick’s text is excellent...exposition is relatively flawless in its execution...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, Columbia University, Physics Today, May 2013

    "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, May 2013

    "More than 100 exercises allow students to gauge their understandings; 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."
    -Mathematical reviews

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    Product details

    • Date Published: June 2012
    • format: Hardback
    • isbn: 9781107023819
    • length: 276 pages
    • dimensions: 262 x 183 x 18 mm
    • weight: 0.66kg
    • contains: 73 b/w illus. 8 tables 124 exercises
    • availability: In stock
  • Table of Contents

    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.

  • general resources

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    General ResourcesErrataErratapdf11KB0errata general resources errata general resourceserrata
    General ResourcesSolutionsSolutionspdf638KB1solutions general resources solutions general resourcessolutions

    This title has a locked file and access is given only to instructors adopting the textbook for their class. We need to strictly enforce this so that solutions are not made available to students. To gain access to locked resources you need to first log in with your Cambridge account details and then return to this page to submit details of your course so you can be authenticated as an instructor. Click here to log in. If you do not have a Cambridge account you will first need to click here to create an account and then return to this page to be authenticated.


    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

    If you are having problems accessing these resources please email cflack@cambridge.org

  • Author

    Richard Fitzpatrick, University of Texas, Austin
    Richard Fitzpatrick is Professor of Physics at the University of Texas, Austin, where he has been a faculty member since 1994. He earned his Master's degree in Physics at the University of Cambridge and his DPhil in Astronomy at the University of Sussex. He is a longstanding Fellow of the Royal Astronomical Society and author of Maxwell's Equations and the Principles of Electromagnetism (2008).

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