in accessible sources, but many are not readily available. Some are new, such as the expansion 

 of the geodesic to second order in the flattening in both geodetic and parametric latitudes, and 

 conversion formulas between the two forms. 



Since the entire treatment is mathematical, an overall summary of the investigation is first 

 presented to allow a quick assay of the topics and accomplishments. This summary is followed 

 by a condensation of the formulas developed or included. The details of the actual development 

 follow in three sections with computational examples in the Appendices. 



Paul D. Thomas 

 Scientific Staff Assistant 

 Marine Sciences Department 

 U. S. Naval Oceanographic Office 



