By Neil., . Ashby

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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. C) Retardation One may ask whether the finite propagation time of gravitational signals from the moon affects the gravitational field in which the earth is freely falling and in which normal fermi coordinates are finally erected at the center of the earth's o r b i t .

Applied Mathematics Series-Mathematical tables, manuals, and studies of special interest to physicists, engineers, chemists, biologists, mathematicians, computer programmers, and others engaged in scientific and technical work. Federal Information Processing Standards Publications (FIPS PUBS)-Publications in this series collectively constitute the Federal Information Processing Standards Register. Register serves a s the official source of information in the Federal Government regarding standards issued by NBS pursuant to the Federal Property and Administrative Services Act of 1949 as amended, Public Law 89-306 (79 Stat.

The problem is, given the position of an observer in terms of altitude h and latitude $I , to express r and 8 Let X,Y be the Cartesian coordaintes of the point X - r sin 8 , Y in terms of . P r cos 8 = We next express the coordinates (x,y) of the point P ' the projection of P along a plumb line, in terms of r cos P' +' = x = C cos Equations (A3) and (A4) define new quantities tan +' = S y/x and from analytic geometry, tan $I = 2 2 yal/xa 3 ' 29 h and . Then . on the surface which is +. Write + and c$ C .

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