Recurrence relations for the truncation error coefficients for the extended stokes function

Recurrence relations for the truncation error coefficients of the extended Stokes function required in the computation of gravimetric geoidal heights at any elevation above the earth's surface have been derived. The computation of these coefficients generally involves a small fixed number of terms except at altitudes of2700 km or more when one of the terms involved has to be computed from an infinite series. To confirm the accuracy of the coefficients a verification formula has been devised which uses a series expansion of a piece-wise continuous function such that it is equal to the extended Stokes function over a given range but vanishes elsewhere. Contribution of the Earth Physics Branch #1053.