A table of Lanchester-Clifford-Schlafli functions
Taylor, James G.
Brown, Gerald Gerard
MetadataShow full item record
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)
RightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
NPS Report NumberNPS55-77-39
Showing items related by title, author, creator and subject.
Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare Taylor, James G.; Brown, Gerald G. (Monterey, California. Naval Postgraduate School, 1977-06); NPS55-77-27This paper introduces an important new canonical set of functions for solving Lanchester-type equations of modern warfare for combat between two homogeneous forces with power attrition-rate coefficients with "no effect." ...
Force-annihilation conditions for variable-coefficient lanchester-type equations of modern warfare, I: Mathematical Theory Taylor, James G.; Comstock, Craig (Monterey, California. Naval Postgraduate School, 1976); NPS-55Tw76081This paper develops a mathematical theory for predicting force annihilation from initial conditions without explicitly computing force-level trajectories for deterministic Lanchester-type "square-law" attrition equations for ...
Force‐annihilation conditions for variable‐coefficient Lanchester‐type equations of modern warfare Taylor, James G.; Comstock, Craig (Wiley Online, 1977-06);This paper develops a mathematical theory for predicting force annihilation from initial conditions without explicitly computing force‐level trajectories for deterministic Lanchester‐type “square‐law” áttrition equations ...