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celestial mechanics | Britannica

celestial mechanics: References & Edit History

Additional Reading

Modern introductory treatments and discussions of some advanced techniques and classic developments include J.M.A. Danby, Fundamentals of Celestial Mechanics, 2nd ed., rev. and enlarged (1988); Dirk Brouwer and Gerald M. Clemence, Methods of Celestial Mechanics (1961); and Henry Crozier Keating Plummer, An Introductory Treatise on Dynamical Astronomy (1918, reprinted 1960). Orbital resonances are discussed in two review articles by S.J. Peale: “Orbital Resonances in Solar-System,” Annual Review of Astronomy and Astrophysics, 14:215–246 (1976), and “Orbital Resonances, Unusual Configurations, and Exotic Rotation States Among Planetary Satellites,” in Joseph A. Burns and Mildred Shapley Matthews (eds.), Satellites (1986), pp. 159–223. Current practice in solving the n-body problem on computers is given in the introduction to a paper by Lars Hernquist, “Performance Characteristics of Tree Codes,” The Astrophysical Journal: Supplement Series, 64(4):715–734 (August 1987). An introduction to modern dynamics involving chaos and an introduction to algebraic maps is given by Michel Henon, “Numerical Exploration of Hamiltonian Systems,” in Gérard Iooss, Robert H.G. Helleman, and Raymond Stora (eds.), Chaotic Behaviour in Deterministic Systems (1983), pp. 54–170. Readable accounts of examples of chaotic dynamics in celestial mechanics are found in two articles by Jack Wisdom: “Chaotic Dynamics in the Solar-System,” Icarus, 72(2):241–275 (1987), and “Chaotic Behaviour in the Solar System,” in M.V. Berry, I.C. Percival, and N.O. Weiss (eds.), Dynamical Chaos (1987), pp. 109–129. A simple discussion of tides and tidal evolution is given by S.J. Peale, “Consequences of Tidal Evolution,” in Margaret G. Kivelson (ed.), The Solar System: Observations and Interpretations (1986), pp. 275–288. Advanced discussions of tidal evolution analysis as applied to the Earth are given by Kurt Lambeck, The Earth’s Variable Rotation: Geophysical Causes and Consequences (1980).

Stanton J. Peale

Article Contributors

Primary Contributors

  • Stanton J. Peale
    Professor of Physics, University of California, Santa Barbara.

Other Encyclopedia Britannica Contributors

Article History

Type Description Contributor Date
Add new Web site: UNESCO - ELOSS - Celestial Mechanics: From Antiquity to Modern Times. Jul 03, 2023
Added cross-reference. May 14, 2023
Corrected display issue. Aug 05, 2022
Photograph of Fomalhaut removed. May 09, 2012
Material about other Kirkwood gaps than the 3:1 being explained by chaotic zones and about n-body simulations with billions of particles added. Jun 08, 2011
Image of Ptolemaic system added. Jun 08, 2011
Updated information on n-body problem. Sep 09, 2009
Article revised and updated. Sep 29, 2006
Article revised. Aug 25, 2000
Article added to new online database. Jul 26, 1999
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