Suppose an axisymmetric distribution of gravity anomalies. Delta g, result in a

Question

Suppose an axisymmetric distribution of gravity anomalies. Delta g, result in a geoid height distribution N(theta, phi) with coefficients Nno = 12m, 15m and 5m for n = 2,4 and 5, respectively, and Nnm = 0 other n. (Assume Ynm (theta, phi)all have unit amplitudes so that the amplitude of N(theta, phi) is determined by the coefficients Nnm.) Write the appropriate equation for N(theta, phi) in terms of spherical harmonics. Use the values given above for Nnm to compute the height of the geoid at the north pole, equator and south pole. What are the corresponding gravity anomalies? Following the same procedure compute ,N(theta, phi) and Delta g(theat, phi) versus theta, evaluated in increments of Delta delta = 15 degree from theta = 0 to 180 degree . Plot the resulting data versus theta.

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