It is the object of this paper to consider the possibility of completing a literal development of the main problem of the lunar theory using the scheme of programs to manipulate multiple Fourier series that is available on the Titan computer in Cambridge. We discuss the lunar theories of Delaunay and the method with determining function given by Brouwer and Clemence. These theories are examined to determine to what extent they lend themselves to immediate duplication by entirely automatic means on a computer and procedures are suggested that enable the Brouwer-Clemence method to be carried out repetitively and that determine the contact transformations of Delaunay with greater convenience. These procedures have resulted from computing experiments that have already been undertaken upon those theories and the results of these experiments are . Attention is drawn to the type of operation that is most convenient to carry out using the manipulative scheme and it is found that these rarely correspond with conventional ideas of simplicity when undertaking large-scale manipulative algebra by hand. Finally it is concluded that an extended literal development of the lunar theory is just possible using the computing machinery and programs at present available in Cambridge.