The eighteenth and nineteenth centuries

Bibliographic Information

The eighteenth and nineteenth centuries

edited by René Taton and Curtis Wilson

(The general history of astronomy / general editor, Michael A. Hoskin, v. 2 . Planetary astronomy from the Renaissance to the rise of astrophysics / edited by René Taton and Curtis Wilson ; pt. B)

Cambridge University Press, 2009, c1995

  • : pbk

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Includes index

"This digitally printed version 2009"--T.p. verso

Description and Table of Contents

Description

Part B of Planetary Astronomy from the Renaissance to the Rise of Astrophysics is the sequel to Part A and continues the history of celestial mechanics and observational discovery through the eighteenth and nineteenth centuries. Twelve different authors have contributed their expertise in some eighteen chapters, each of them intended to be accessible to the interested layman. An initial section deals with stages in the reception of Newton's inverse square law as exact. In the remainder of the book a large place is given to the development of the mathematical theory of celestial mechanics from Clairaut and Euler to LeVerrier, Newcomb, Hill and Poincare - a topic rarely treated, at once synoptically and in some detail. Lists of further reading provide entree to the literature of these several topics.

Table of Contents

  • Part V. Early Phases in the Reception of Newton's Theory: 14. The vortex theory in competition with Newtonian celestial dynamics Eric J. Aiton
  • 15. The shape of the Earth Seymour L. Chapin
  • 16. Clairaut and the motion of the lunar apse: The inverse-square law undergoes a test Craig B. Waff
  • 17. The precession of the equinoxes from Newton to d'Alembert and Euler Curtis Wilson
  • 18. The solar tables of Lacaille and the lunar tables of Mayer Eric G. Forbes and Curtis Wilson
  • 19. Predicting the mid-eighteenth-century return of Halley's Comet Craig B. Waff
  • Part VI. Celestial Mechanics During the Eighteenth Century: 20. The problem of perturbation analytically treated: Euler, Clairaut, d'Alembert Curtis Wilson
  • 21. The work of Lagrange in celestial mechanics Curtis Wilson
  • 22. Laplace Bruno Morando
  • Part VII. Observational Astronomy and the Application of Theory in the Late Eighteenth and Early Nineteenth Century: 23. Measuring solar parallax: The Venus transits of 1761 and 1769 and their nineteenth-century sequels Albert Van Helden
  • 24. The discovery of Uranus, the Titius-Bode and the asteroids Michael Hoskin
  • 25. Eighteenth-and nineteenth century developments in the theory and practice of orbit determination Brian G. Marsden
  • 26. The introduction of statistical reasoning into astronomy: from Newton to Poincare Oscar Sheynin
  • 27. Astronomy and the theory of errors: from the method of averages to the method of least squares F. Schmeidler
  • Part VIII. The Development of Theory During the Nineteenth Century: 28. The golden age of celestial mechanics Bruno Morando
  • Part IX. The Application of Celestial Mechanics to the Solar System to the End of the Nineteenth Century: 29. Three centuries of lunar and planetary ephemerides and tables Bruno Morando
  • 30. Satellite ephemerides to 1900 Yoshihide Kozai
  • Illustrations
  • Combined index for Parts 2A and 2B.

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