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By Neil., . Ashby

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Extra resources for AN EARTH-BASED COORDINATE CLOCK NETWORK

Sample text

These variations may be of the order of a few nanoseconds [141 . 6. Miscellaneous Effects A) Mass of the atmosphere The mass of the atmosphere is about that of the earth. As the mass varies, the gravitational potential will vary, but neglect of the variation due 25 , to the atmosphere's mass could at most introduce an error of times the redshift due to the earth's mass and is, therefore, negligible. 4 cos 9 (1 2 Since the maximum value of sin less than 2 4 cos + 2 2f sin 9) ns. 35 ns. 4)/4 and is, therefore, negligible.

Ll] W. J. Cocke, Phys. Rev. Letters 16,662 (1966); 779 (1966); 1233 (1966). , 32nd Edition, p. 2508 (1954). 121,337 p. 183 (1974). 4, p . J35 (1963). (1961). b31 Note that this equation does not take account of the redefinition o t coordinateclock rates mentioned in connection with Equation (77). [14J J. Barnes, private communication. 28 APPENDIX Latitude and Polar Angle in Ellipsoidal Geometry I I In this paper, the rotating earth is considered an ellipsoid of revolution with , where equatorial radius al and polar radius a3 - a3 = al(l with f 2 11300 the flattening of the earth.

K. Manasse and C. W. Misner, J. Math. Phys. [81 B. Hoffman, Phys. Rev. [ 91 M. Caputo, The Gravity Field of the Earth, Academic Press, New York, p. 32 (1Y67). [lo) G. D. Garland, The Earth's Shape and Gravity, Pergamon Press, New York (1Y65); R. H. Rapp, Geophys. Res. Letters 1, 35 (1Y74). Ll] W. J. Cocke, Phys. Rev. Letters 16,662 (1966); 779 (1966); 1233 (1966). , 32nd Edition, p. 2508 (1954). 121,337 p. 183 (1974). 4, p . J35 (1963). (1961). b31 Note that this equation does not take account of the redefinition o t coordinateclock rates mentioned in connection with Equation (77).

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AN EARTH-BASED COORDINATE CLOCK NETWORK by Neil., . Ashby


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