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Example text
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.
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