New Dynamical Wave-theory of the Tides: Discovery of the Physical Cause of the Variation of Latitude, with Calculations of the Period and Amplitude of the Polar Motion, from the Observed Oscillations of the Unsymmetrically Situated Ocean Hemisphere, Including a Revised Cotidal Map of the Oceans, Now Shown to be Oscillating in Synchronous World-waves Coperiodic with the Disturbing Forces, Laplace's Principle, Together with an Investigation of Other Laws of the Motion of the Sea Hitherto Unknown, and an Improved Method for Calculating the Rigidity of the EarthU.S. Government Printing Office, 1926 - 91 pages |
Common terms and phrases
Accordingly Airy amplitude Atlantic Oceans axis of figure axis of rotation changes CHIG continents cos² Daniel Bernoulli depth displacement diurnal motion diurnal tide dynamical theory earth eddies effect equation equilibrium theory Eulerian cycle Eulerian period feet fluid FMIC George Darwin globe Greenwich height high water Hough hydrodynamical Indian Ocean invariable axis invariable plane investigators islands Laplace Laplace's Principle Lord Kelvin mass mean axis meridian MIC RSITY MIC UNIV moments of inertia moon's Newton observed ocean hemisphere oscillations Pacific Ocean phenomena physical cause plateau polar motion pole principal axes revised cotidal map rigidity RSITY MIC RSITY UNIV RSITYCO sin² Sir George Darwin SITY solid nucleus Sterneck sun and moon synchronous syzygies terrestrial spheroid theoretical tidal oscillations Tides and Waves Tisserand UNIV MIC UNIV MICHI UNIV UNIV variation of latitude water hemisphere westward Whewell world tide wave world wave yielding Zealand
Popular passages
Page 50 - Having then assumed the motions of the earth, which are hereafter explained, by laborious and long observation I at length found that if the motions of the other planets be compared with the revolution of the earth, not only their phenomena follow from the...
Page 50 - that the thoughts of a philosopher do not depend on the judgment of the many, his study being to seek out truth in all things as far as that is permitted by God to human reason...
Page 50 - ... round the sun in a year among the other planets ; the magnitude of the world being so great, that the distance of the earth from the sun has no apparent magnitude when compared with the sphere of the fixed stars.
Page 62 - Book I, it appears that the waters of the sea ought twice to rise and twice to fall every day, as well lunar as solar; and that the greatest height of the waters in the open and deep seas ought to follow the appulse of the luminaries to the meridian of the place by a less interval than 6 hours; as happens in all that eastern tract of the Atlantic and...
Page 62 - I reckon from the appulse of each luminary to the meridian of the place, as well under as above the horizon; and by the hours of the lunar day I understand the 24th parts of that time which the moon, by its apparent diurnal motion, employs to come about again to the meridian of the place which it left the day before. The force of the sun or moon in raising the sea is greatest in the...
Page 62 - ... will happen about the third lunar hour. Out of the syzygies and quadratures, the greatest tide, which by the single force of the moon ought to fall out at the third lunar hour, and by the single force of the sun at the third solar hour, by the compounded forces of both must fall out in an intermediate time that approaches nearer to the third hour of the moon than to that of the sun. And, therefore, while the...
Page 50 - I too began to meditate on the motion of the earth, and, though it appeared an absurd opinion, yet, since I knew that in previous times others had been allowed the privilege of feigning what circles they chose in order to explain the phenomena, I conceived that I...
Page 62 - ... meridian of the place by a less interval than six hours; as happens in all that eastern tract of the Atlantic and Ethiopic seas between France and the Cape of Good Hope; and on the coasts of Chile and Peru in the South Sea; in all which shores the flood falls out about the second, third, or fourth hour, unless where the motion propagated from the deep ocean is by the shallowness of the channels, through which it passes to some particular places, retarded to the fifth, sixth, or seventh hour,...
Page 14 - search and analysis of the "observations of different observatories, the nature of the " periodic variation of latitude, if it exist, may be determined.
Page 34 - The phenomena of the tides, which an ancient philosopher designated in despair as the tomb of human curiosity, were connected by Laplace with an analytical theory in which the physical conditions of the question figure for the first time. Accordingly calculators, to the immense advantage of the navigation of our maritime coasts, venture in the present day to predict several years in advance the details of the time and height of the full tides without more anxiety respecting the result than if the...