The Scientific Papers of Sir George Darwin: Periodic Orbits and Miscellaneous Papers

George Howard Darwin

doi:10.1017/CBO9780511703508

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The Scientific Papers of Sir George Darwin

The Scientific Papers of Sir George Darwin

Periodic Orbits and Miscellaneous Papers

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Volume 4
George Howard Darwin

Publisher:: Cambridge University Press
Online publication date:: September 2010
Print publication year:: 2009
First published in:: 1911
Online ISBN:: 9780511703508
DOI:: https://doi.org/10.1017/CBO9780511703508

Series:: Cambridge Library Collection - Physical Sciences
Subjects:: Physics and Astronomy, Computational Science and Modelling, History of Astronomy and Cosmology, Engineering: General Interest

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Sir George Darwin (1845–1912) was the second son and fifth child of Charles Darwin. After studying mathematics at Cambridge he read for the Bar, but soon returned to science and to Cambridge, where in 1883 he was appointed Plumian Professor of Astronomy and Experimental Philosophy. His family home is now the location of Darwin College. His work was concerned primarily with the effect of the sun and moon on tidal forces on Earth, and with the theoretical cosmogony which evolved from practical observation: he formulated the fission theory of the formation of the moon (that the moon was formed from still-molten matter pulled away from the Earth by solar tides). This volume of his collected papers covers periodic orbits and some miscellaneous papers, including two investigating the health statistics of the marriage of first cousins – of interest to a member of a dynasty in which such marriages were common.

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The Scientific Papers of Sir George Darwin

Periodic Orbits and Miscellaneous Papers

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Frontmatter
pp i-iv

PREFACE
pp v-viii

Contents
pp ix-xii

Chronological List of Papers with References to the Volumes in which they are contained
pp xiii-xvii

Errata
pp xviii-xviii

PART I - PERIODIC ORBITS

1 - Periodic Orbits
pp 1-113

2 - On Certain Discontinuities connected with Periodic Orbits
pp 114-139

3 - On Certain Families of Periodic Orbits
pp 140-182

PART II - THE TIDES
pp 183-184

4 - The Tides
pp 185-264

PART III - MISCELLANEOUS PAPERS IN CHRONOLOGICAL ORDER
pp 265-266

5 - On some Proposed Forms of Slide-rule
pp 267-267

6 - An Application of Peaucellier's Cell
pp 268-268

7 - The Mechanical Description of Equipotential Lines
pp 269-271

8 - On a Mechanical Representation of the Second Elliptic Integral
pp 272-275

9 - On Maps of the World
pp 276-280

10 - A Geometrical Puzzle
pp 281-282

11 - A Geometrical Illustration of the Potential of a Distant Centre of Force
pp 283-284

12 - On Graphical Interpolation and Integration
pp 285-287

13 - On a Theorem in Spherical Harmonic Analysis
pp 288-291

14 - On Fallible Measures of Variable Quantities, and on the Treatment of Meteorological Observations
pp 292-304

15 - On the Horizontal Thrust of a Mass of Sand
pp 305-329

16 - On the Formation of Ripple-mark in Sand
pp 330-353

17 - Note on Mr Davison's Paper on the Straining of the Earth's Crust in Cooling
pp 354-361

18 - On the Mechanical Conditions of a Swarm of Meteorites, and on Theories of Cosmogony
pp 362-431

19 - On the Perturbation of a Comet in the Neighbourhood of a Planet
pp 432-436

20 - The Eulerian Nutation of the Earth's Axis
pp 437-445

21 - The Analogy between Lesage's Theory of Gravitation and the Repulsion of Light
pp 446-470

PART IV - PAPERS ON TIDES (Supplementary to Volume I)
pp 471-472

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The Scientific Papers of Sir George Darwin

Periodic Orbits and Miscellaneous Papers

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