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42, [4] R. Schlegel, h e r . J. Phys. [ 51 Schlegel's expression for this discontinuity contains an error. [6] C. W. Misner, K. S. Thorne, and J. A . Wheeler, Gravitation, W. H. , San Francisco, p . 596 (1973). [7] F. 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).
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. f) In this appendix, we wish to derive relations between the polar angle 0 measured from the rotation axis and the geographic latitude + , measured along a plumb line which is normal to the ellipsoid.
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.