- •Introduction
- •Chapter 1 History of Geodesy
- •Chapter II Figure of the Earth Part 1
- •Figure of the Earth Part 2
- •Ellipsoid of Revolution
- •Chapter III Geodetic Surveying Techniques
- •Horizontal Positioning
- •Triangulation
- •Text 10
- •Orders of Triangulation
- •Text 11
- •Trilateration
- •Text 12
- •Traverse
- •Text 13
- •Celestial Techniques
- •Text 14
- •Vertical Positioning
- •Text 15
- •Chapter IV Geodetic Systems
- •Text 16
- •Orientation of Ellipsoid to Geoid
- •Text 17
- •Text 18
- •Text 19
- •Text 20
- •Text 21
- •Text 22
- •Text 23
- •Text 24
- •Text 25
- •Text 26
- •Chapter V Physical Geodesy
- •Text 27
- •Text 28
- •Text 29
- •Text 30
- •Text 31
- •Text 32
- •Text 33
- •Text 34
- •Text 35
- •Text 36
- •Chapter VI Satellite Geodesy
- •Text 37
- •Text 38
- •Text 39
- •Text 40
- •Text 41
- •Text 42
- •Chapter VII Other Developments in Geodesy
- •Text 43
- •Text 44
- •Text 45
- •Text 46
- •Text 47
- •Text 48
- •Text 49
- •Chapter VIII The World Geodetic System
- •Text 50
- •Text 51
- •Text 52
Text 27
Выражения:
at the same time |
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a circular path |
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be held onto the surface |
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exert an outward force |
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pendulum apparatus |
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be flipped over |
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a number of |
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to meet the needs |
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in recent years |
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take time |
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Gravity Measurements
An attracting force, called gravitational force, operates between the earth and every object that is located within, on, or above the earth's surface. At the same time, any object within or on the earth's surface pursues a circular path as the earth rotates on its axis. If the body is on the earth's surface, it follows the circular path because it is held onto the earth's surface by the gravitational force. However, the body as it pursues a circular path exerts an outward force called the centrifugal reaction. The centrifugal reaction can be experienced by revolving an object at the end of a string. The sum of the gravitational force and centrifugal reaction acting on a body is called gravity. Since the gravitational force is much stronger than the centrifugal reaction, gravity causes an object to have weight and, if the object is free to move, to fall with increasing speed (i.e, the body accelerates) toward the center of the earth. The acceleration experienced by that object as it moves toward the earth's center is called the acceleration of gravity, which is the quantity observed when gravity measurements are made.
Two distinctly different types of gravity measurements are made: absolute gravity measurements and relative gravity measurements. If the value of acceleration of gravity can be determined at the point of measurement directly from the data observed at that point, the gravity measurement is absolute. If only the differences in the value of the acceleration of gravity are measured between two or more points, the measurements are relative.
Absolute measurement of gravity – Until the middle of the 20th Century, virtually all absolute measurements of gravity were made using some type of pendulum apparatus. The most usual type of apparatus contained a number of pendulums that were swung in a vacuum. By measuring the period of the pendulums, the acceleration of gravity could be computed. In 1818, Kater developed the so-called reversible pendulum that had knife edge pivots at both ends. These pendulums were flipped over (reversed) during the measurements and, using this procedure, a number of important error sources were eliminated. Still, there were numerous other problems and error sources associated with pendulum measurements of absolute gravity, and the results obtained were not sufficiently accurate to meet the needs of geodetic gravimetry. Consequently, in recent years, the pendulum method has been superseded by the ballistic method which is based on timing freely falling bodies. The acceleration of gravity can be determined by measuring the time taken by a body to fall over a known distance.