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2018 | Buch

The Hunt for Earth Gravity

A History of Gravity Measurement from Galileo to the 21st Century

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Über dieses Buch

The author of this history of mankind’s increasingly successful attempts to understand, to measure and to map the Earth’s gravity field (commonly known as ‘little g’ or just ‘g’) has been following in the footsteps of the pioneers, intermittently and with a variety of objectives, for more than fifty years. It is a story that begins with Galileo’s early experiments with pendulums and falling bodies, progresses through the conflicts between Hooke and Newton and culminates in the measurements that are now being made from aircraft and satellites. The spectacular increases in accuracy that have been achieved during this period provide the context, but the main focus is on the people, many of whom were notable eccentrics. Also covered are the reasons WHY these people thought their measurements would be useful, with emphasis in the later chapters on the place of ‘g’ in today’s applied geology, and on the ways in which it is providing new and spectacular visions of our planet. It is also, in part, a personal memoir that explores the parallels between the way fieldwork is being done now and the difficulties that accompanied its execution in the past. Selected topics in the mathematics of ‘g’ are discussed in a series of short Codas.

Inhaltsverzeichnis

Frontmatter
Chapter 1. The Beginning
Abstract
Galileo made many scientific advances, and was almost certainly the first person to show that the distances travelled by objects propelled only by gravity are proportional to the squares of the travel times, that a weight on a thread (a simple pendulum) takes almost the same time to complete a swing, regardless of how far it swings and how heavy the weight, and to establish the relationship between this time and the length of the thread. There is no good reason to doubt the essentials of some of the legends that have sprung up about him. He finally came to grief and was sanctioned by the church because of his erroneous theory of tides, and he left to others the task of finding the actual magnitude of the gravitational acceleration.
John Milsom
Chapter 2. The Making of a Map
Abstract
The author began using measurements of the Earth’s gravity field, ‘g’, in Papua New Guinea in the 1960’s. It was a project that provides an introduction to many aspects of gravity fieldwork and to many of the characteristics and uses of gravity maps.
John Milsom
Chapter 3. The Astronomers
Abstract
In Western science the move from an Earth-centred to a Sun-centred view of the universe was initiated by Copernicus, but the revolution progressed slowly. The great Danish astronomer Tycho Brahe clung to the Earth-centred view throughout his life but Johannes Kepler, who collaborated with him during his last two years and analysed his observations after his death, was eventually able to show that not only did the planets move around Sun and not around the Earth but that they moved in ellipses and not in circles.
John Milsom
Chapter 4. The Synthesis
Abstract
The credit for combining the results of Galileo’s experiments on gravity and Kepler’s hypotheses relating to planetary orbits is usually assigned to Isaac Newton, but his work has to be seen in the context of the scientific climate of the time. A large part of that climate was created by Robert Hooke, who had his own ideas about gravity. The two clashed for much of their lives, but Newton eventually eclipsed, and also outlived, his rival, becoming President of the Royal Society and the most powerful figure in British science.
John Milsom
Chapter 5. The Figure of the Earth
Abstract
Early attempts by European travellers to use pendulum clocks overseas showed that gravity was not constant over the surface of the Earth. The variations with latitude and height were first systematically studied during expeditions mounted by the French Académie des Sciences to investigate the shape of the Earth by measuring the length of a degree of latitude in Lapland and Ecuador. In Ecuador the work was done largely by Pierre Bouguer, whose name is now inextricably linked to the methods used for correcting gravity measurements for the effects of topography.
John Milsom
Chapter 6. The Attraction of Mountains
Abstract
As well as measuring the effects of latitude and height on gravity, an attempt was made during the French expedition to Ecuador to measure the gravity effect of a large mountain. The experiment was repeated on Schiehallion in Scotland by the Astronomer Royal, Neville Maskelyn, and a much better estimate was made of the mass of the Earth. It was later realised, as a result of measurements made during the mapping of India, that the gravitational attraction of the Himalayas was less than would have been expected and that their surface mass must be balanced by a mass deficit at depth. The effects of this ‘isostatic’ balance can be seen in the uplift of Finland in response to the disappearance of the load represented by the extensive ice sheets of the most recent glaciation.
John Milsom
Chapter 7. The Pitfalls of Pendulums
Abstract
By the beginning of the 19th Century pendulums were being widely used to measure global variations in gravity. Initially the work was led by France but the first high-quality measurement of absolute gravity using a reversible pendulum was made in London. Relative pendulums continued to be used for global measurements and there was collaboration between Great Britain and France. British work was focused on the Atlantic but France sent a scientific expedition around the world on a voyage that began with the smuggling on board of the Commander’s wife and was interrupted by shipwreck in the Falklands. At the turn of the century a series of high quality measurements was completed in Potsdam using several different pendulums but the final accepted value was seriously in error because of a introduced for a suspected error in the results.
John Milsom
Chapter 8. Change of a Change
Abstract
Gravity gradients were first measured in the laboratory as an alternative to using mountains to ‘weigh the Earth’, and the extremely sensitive torsion balances that were developed by Lorand Eötvös early in the Twentieth Century quickly found applications in exploring for oil and natural gas. In the late 1930s they were replaced in this role by gravity meters.
John Milsom
Chapter 9. The Rise and Fall of Springs
Abstract
The use of spring balances to measure gravity was first proposed in 1833 but it took a hundred years for the obstacles to doing so to be overcome. A major advanced was signalled by the introduction of the zero-length spring, which was a feature of gravity-meter design for more than fifty years. Eventually, however, improvements in the measurement of very small displacements allowed simpler designs to be used. Even these are on the verge of being replaced for routine work by micro-electronic devices and for ultra-high sensitivity work by cryogenic instruments.
John Milsom
Chapter 10. The Challenges of Motion
Abstract
Early attempts at measuring gravity at sea involved instruments based on the barometers then used for measuring atmospheric pressure, but useful results were only achieved when this approach was abandoned in favour of pendulums mounted in submarines. The results obtained by Felix Vening Meinesz in Indonesia had important applications in the development of the theory of Plate Tectonics. Spring-balance gravity meters replaced pendulums in the period after the Second World War for marine work and were eventually adapted for use in fixed-wing aircraft and helicopters.
John Milsom
Chapter 11. The Return of the Gradient
Abstract
Robust gravity gradiometers were pioneered by the US Navy as tools for avoiding collisions between submarines and the sea-floor. Following de-classification of the technology, derivative instruments were used in ships and aircraft in exploring for mineral resources. Airborne gradiometer surveys are now at least as widely used for this sort of work as are airborne surveys in which the total gravity field is measured.
John Milsom
Chapter 12. A Map of the World
Abstract
Following the Second World War, gravity was increasingly measured for geodetic purposes and global gravity databases began to be compiled based on internationally recognised base stations and gravity formulae. The databases were expanded to include measurements of satellites and from satellites and a major advance occurred when it became possible to convert maps of the elevation of the sea-surface (the geoid) into maps of offshore gravity. This technique is now widely applied to produce maps of sea-floor topography.
John Milsom
Chapter 13. Epilogue
Abstract
Gravity is the main driver of geological change, both at superficial levels in redistributing sediments and at depth in the convection currents that drive Plate Tectonics. A recently recognised process is the gravitational collapse of over-elevated collisional mountain belts, which can produce major horizontal movements and can ultimately lead to the formation of new oceans. The Mediterranean region and eastern Indonesia are now recognised as the most important natural laboratories for studying these developments.
John Milsom
Chapter 14. The Codas
Abstract
The mathematics of gravity is dominated by the calculus of vectors and tensors, but early workers such as Galileo, Huygens and Bouguer derived their results without using calculus at all. Simple mathematics is also all that is required to understand the basic principles of isostasy and to compare the results obtained in global pendulum deployments in the Nineteenth Century with those that would be obtained today. The role of the zero-length spring in gravity meters can be understood by simple geometrical analysis.
John Milsom
Backmatter
Metadaten
Titel
The Hunt for Earth Gravity
verfasst von
Dr. John Milsom
Copyright-Jahr
2018
Electronic ISBN
978-3-319-74959-4
Print ISBN
978-3-319-74958-7
DOI
https://doi.org/10.1007/978-3-319-74959-4