An Interesting Problem in Spherical Trigonometry

This paper provides an example of the versatility of mathematics and how it can be applied to the formulation of navigation methods which are more elegant and efficient than those traditionally used. For example, there is little use currently made of the calculus or the techniques of differential geometry. A difficulty in applying general mathematical methods is the inconsistency of navigation coordinate systems, which could usefully be changed so that longitude and Gha, for instance, could be measured eastwards in the range o°“36o°. The problem considered below is of little importance in itself, either in terms of mathematics or navigation, but it illustrates how alternatives to traditional approaches to navigational requirements can lead to more attractive solutions. This particular problem has been inspired by the book Theory and Problems of Differential and Integral Calculus in SI Units.