A table of Lanchester-Clifford-Schlafli functions

Abstract

This report contains the most extensive set of tables currently available of Lanchester-Clifford-Schlafli (LCS) functions. These functions may be used to analyze Lanchester-type combat between two homogeneous forces modelled by power attrition-rate coefficients with no offset. Theoretical background for the LCS functions is given, as well as a narrative description of the physical circumstances under which the associated Lanchester-type combat model may be expected to be applicable. Numerical examples are given to illustrate the use of the LCS functions for analyzing aimed-fire combat modelled by the power attrition-rate coefficients with no offset. Our results and these tabulations allow one to study this particular variable-coefficient combat model almost as easily and thoroughly as Lanchester's classic constant-coefficient model. (Author)