The Scientific Papers of Sir George Darwin : Figures of Equilibrium of Rotating Liquid and Geophysical Investigations. Volume 3

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). He also developed a theory of evolution for the Sun-Earth-Moon system based on mathematical analysis in geophysical theory. This volume of his collected papers covers figures of equilibrium of rotating liquid and geophysical investigations. PREFACE......Page 10 CONTENTS......Page 14 CHRONOLOGICAL LIST OF PAPERS WITH REFERENCES TO THE VOLUMES IN WHICH THEY ARE OR WILL BE CONTAINED......Page 16 ERRATA.......Page 21 1. ON THE INFLUENCE OF GEOLOGICAL CHANGES ON THE EARTH'S AXIS OF ROTATION......Page 22 2. ON PROFESSOR HAUGHTON'S ESTIMATE OF GEOLOGICAL TIME.......Page 68 3. ON A SUGGESTED EXPLANATION OF THE OBLIQUITY OF PLANETS TO THEIR ORBITS......Page 72 4. NOTE ON THE ELLIPTICITY OF THE EARTH'S STRATA......Page 76 5. ON AN OVERSIGHT IN THE MEGANIQUE CELESTE, AND ON THE INTERNAL DENSITIES OF THE PLANETS......Page 78 6. ON THE FIGURE OF EQUILIBRIUM OF A PLANET OF HETEROGENEOUS DENSITY......Page 90 7. THE THEORY OF THE FIGURE OF THE EARTH CARRIED TO THE SECOND ORDER OF SMALL QUANTITIES......Page 99 8. ON JACOBI'S FIGURE OF EQUILIBRIUM FOR A ROTATING MASS OF FLUID......Page 140 9. ON FIGURES OF EQUILIBRIUM OF ROTATING MASSES OF FLUID......Page 156 10. ELLIPSOIDAL HARMONIC ANALYSIS......Page 207 11. ON THE PEAR-SHAPED FIGURE OF EQUILIBRIUM OF A ROTATING MASS OF LIQUID......Page 309 12. THE STABILITY OF THE PEAR-SHAPED FIGURE OF EQUILIBRIUM OF A ROTATING MASS OF LIQUID......Page 338 13. ON THE INTEGRALS OF THE SQUARES OF ELLIPSOIDAL SURFACE HARMONIC FUNCTIONS......Page 419 14. THE APPROXIMATE DETERMINATION OF THE FORM OF MACLAURIN'S SPHEROID.......Page 444 15. ON THE FIGURE AND STABILITY OF A LIQUID SATELLITE.......Page 457 cbo9780511703492a024......Page 546 Cambridge University Press PREFACE 10 CONTENTS 14 CHRONOLOGICAL LIST OF PAPERS WITH REFERENCES TO THE VOLUMES IN WHICH THEY ARE OR WILL BE CONTAINED 16 ERRATA. 21 1. ON THE INFLUENCE OF GEOLOGICAL CHANGES ON THE EARTH'S AXIS OF ROTATION 22 2. ON PROFESSOR HAUGHTON'S ESTIMATE OF GEOLOGICAL TIME. 68 3. ON A SUGGESTED EXPLANATION OF THE OBLIQUITY OF PLANETS TO THEIR ORBITS 72 4. NOTE ON THE ELLIPTICITY OF THE EARTH'S STRATA 76 5. ON AN OVERSIGHT IN THE MEGANIQUE CELESTE, AND ON THE INTERNAL DENSITIES OF THE PLANETS 78 6. ON THE FIGURE OF EQUILIBRIUM OF A PLANET OF HETEROGENEOUS DENSITY 90 7. THE THEORY OF THE FIGURE OF THE EARTH CARRIED TO THE SECOND ORDER OF SMALL QUANTITIES 99 8. ON JACOBI'S FIGURE OF EQUILIBRIUM FOR A ROTATING MASS OF FLUID 140 9. ON FIGURES OF EQUILIBRIUM OF ROTATING MASSES OF FLUID 156 10. ELLIPSOIDAL HARMONIC ANALYSIS 207 11. ON THE PEAR-SHAPED FIGURE OF EQUILIBRIUM OF A ROTATING MASS OF LIQUID 309 12. THE STABILITY OF THE PEAR-SHAPED FIGURE OF EQUILIBRIUM OF A ROTATING MASS OF LIQUID 338 13. ON THE INTEGRALS OF THE SQUARES OF ELLIPSOIDAL SURFACE HARMONIC FUNCTIONS 419 14. THE APPROXIMATE DETERMINATION OF THE FORM OF MACLAURIN'S SPHEROID. 444 15. ON THE FIGURE AND STABILITY OF A LIQUID SATELLITE. 457 cbo9780511703492a024 546 9781108004459