The Problem Of The Earth S Shape From Newton To Clairaut

This book investigates, through the problem of the earth's shape, part of the development of post-Newtonian mechanics by the Parisian scientific community during the first half of the eighteenth century. In the Principia Newton first raised the question of the earth's shape. John Greenberg shows how continental scholars outside France influenced efforts in Paris to solve the problem, and he also demonstrates that Parisian scholars, including Bouguer and Fontaine, did work that Alexis-Claude Clairaut used in developing his mature theory of the earth's shape. The evolution of Parisian mechanics proved not to be the replacement of a Cartesian paradigm by a Newtonian one, a replacement that might be expected from Thomas Kuhn's formulations about scientific revolutions, but a complex process instead involving many areas of research and contributions of different kinds from the entire scientific world. Greenberg both explores the myriad of technical problems that underlie the historical development of part of post-Newtonian mechanics, which have only been rarely analyzed by Western scholars, and embeds his technical discussion in a framework that involves social and institutional history politics, and biography. Instead of focusing exclusively on the historiographical problem, Greenberg shows as well that international scientific communication was as much a vital part of the scientific progress of individual nations during the first half of the eighteenth century as it is today.

The Life and Work of James Bradley: The New Foundations of 18th Century Astronomy is the first major work on the life and achievements of James Bradley for 190 years. This book offers a new perspective and new interpretations of previously published materials, together with various insights about recently researched sources. This book is a complete account of the life and work of Bradley as discerned from surviving documents of his working archive, as well as other documents and records. In addition, it offers a new interpretation of Bradley's work as an astronomer, not merely from his observations of Jupiter and Saturn and their satellites and annual aberration and the nutation of the Earth's axis, but also his corroborative work with pendulums and other horological work with George Graham. It also explores the little amount documented about his private life including a degree of speculation about his personal relationships. This work on 18th century astronomy is intended for students of the history of science, astronomy and 18th century English society, and for scholars seeking new lines of inquiry. It contains an extensive bibliography and a detailed chronology, both of which offer support for further reading and research.

In their search for solutions to problems concerning the dynamics of the Earth as a self-gravitating body, the authors have applied the fundamentals found in their book “Jacobi Dynamics” (1987, Reidel). First, satellite observations have shown that the Earth does not remain in hydrostatic equilibrium, which forms the physical basis of modern geodynamics. Secondly, satellite data have established a relationship between the planet’s polar moment of inertia and the potential of the Earth’s outer force field, which proves the most basic point of Jacobi dynamics. This allowed the authors to revise their derivation of the classical virial theorem, introducing the concept of a volumetric force and volumetric moment, and so to obtain a generalized virial theorem in the form of Jacobi’s equation. The main dynamical effects are: the kinetic energy of oscillation of the interacting particles, which explains the physical meaning and nature of gravitational forces; separation of shells of a self-gravitating body with respect to its mass density; differences in angular velocities of the shell’s rotation; continuity in variance of the potential of the outer gravitational force field, together with reductions in the envelope of the interacting masses (volumetric center of gravity); the nature of Earth, Moon and satellite precession; the nature and generating mechanism of the planet’s electromagnetic field; the common nature of gravitational and electromagnetic energy, and other related issues. The work is a logical continuation of the book "Jacobi Dynamics" and is intended for researchers, teachers and students engaged in theoretical and experimental research in various branches of astronomy, geophysics, planetology and cosmogony, and for students of celestial, statistical, quantum and relativistic mechanics and hydrodynamics.

The planet as seen by its inhabitants In two millenia, our knowledge of the planet and its natural laws and forces has undergone remarkable changes--from the religious belief of earth as the center of the universe to the modern astronomers' view that it is a mere speck in the cosmos. Now a first-of-its-kind reference work charts this remarkable intellectual progression in our evolving perception of the earth by surveying the history of geology, geography, geophysics, oceanography, meteorology, space science, and many other fields. Covers human understanding of the Earth in various times and cultures The Encyclopedia traces our understanding of the earth and its functioning throughout history, summarizing historical explanations of earthly occurrences, including explanations with no scientific basis. It presents the latest facts and theories, explains how our understanding of the earth has evolved, and shows why many outrageous and fanciful earlier ideas were accepted in their time. The coverage explores the physical phenomena that inform our knowledge, starting at the earth's core and extending outward through the mantle, crust, oceans, and atmosphere to the magnetosphere and beyond. Charts the evolution of our perceptions The primary focus of the Encyclopedia is the history of the study of the earth. It also discusses the institutions that advanced and shaped science and probes the interplay between science, practical applications, and social and political forces. The result is a unified historical overview of the earth across a wide canvas of time and place, from antiquity to the space age. Its wide-ranging articles summarize subjects as diverse as geography and imperialism, environmentalism, computers and meteorology, ozone formation theories since 1800, scientific rocketry, the Scopes trial, and much more. Special Features Shows how diverse disciplines, from geology to space science, fit together in a coherent view of the earth * Explains earlier ideas and theories in the context of the beliefs and scientific knowledge of their time * Spotlights important institutions that have shaped the history of science * Explores relationships between science, practical applications, and sociopolitical concerns * Provides a subject index and an index of scientists with birth/death dates

Analysis of the orbital motion of the Earth, the Moon and other planets and their satellites led to the discovery that all bodies in the Solar System are moving with the first cosmic velocity of their proto parents. The mean orbital velocity of each planet is equal to the first cosmic velocity of the Protosun, the radius of which is equal to the semi-major axis of the planet’s orbit. The same applies for the planets’ satellites. All the small planets, comets, other bodies and the Sun itself follow this law, a finding that has also been proven by astronomical observations. The theoretical solutions based on the Jacobi dynamics explain the process of the system creation and decay, as well as the nature of Kepler’s laws.

This book describes in detail the various theories on the shape of the Earth from classical antiquity to the present day and examines how measurements of its form and dimensions have evolved throughout this period. The origins of the notion of the sphericity of the Earth are explained, dating back to Eratosthenes and beyond, and detailed attention is paid to the struggle to establish key discoveries as part of the cultural heritage of humanity. In this context, the roles played by the Catholic Church and the philosophers of the Middle Ages are scrutinized. Later contributions by such luminaries as Richer, Newton, Clairaut, Maupertuis, and Delambre are thoroughly reviewed, with exploration of the importance of mathematics in their geodetic enterprises. The culmination of progress in scientific research is the recognition that the reference figure is not a sphere but rather a geoid and that the earth’s shape is oblate. Today, satellite geodesy permits the solution of geodetic problems by means of precise measurements. Narrating this fascinating story from the very beginning not only casts light on our emerging understanding of the figure of the Earth but also offers profound insights into the broader evolution of human thought.