Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare
Taylor, James G.
Brown, Gerald G.
MetadataShow full item record
This 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." Tabulations of these functions, which we call Lanchester-Clifford-Schlafli (or LCS) functions, allow one to study this particular variable-coefficient model almost as easily and thoroughly as Lanchester's classic constant-coefficient one. The availability of such tables is pointed out. We show that our choice of LCS functions allows one to obtain important information (in particular, force-annihilation prediction) without having to spend the time and effort to compute force-level trajectories. Furthermore, we show from theoretical considerations that our choice is the best for this purpose. These new theoretical considerations apply in general to Lanchester-type equations of modern warfare and provide guidance for developing other canonical Lanchester functions (i.e. canonical functions for other attrition-rate coefficients). Moreover, our new LCS functions provide valuable information about various related variable-coefficient models. Also, we introduce an important transformation of the battle's time scale that not only many times simplifies the force-level equations but also shows that relative fire effectiveness and intensity of combat are the only two weapon-system parameters determining the course of such variable-coefficient Lanchester-type combat. (Author)
NPS Report NumberNPS55-77-27
Showing items related by title, author, creator and subject.
Brown, G.G.; Taylor, J. (1983);This paper introduces important new functions for analytic solution of Launch-ester-type equations of modern warfare for combat between two homogeneous forces modeled by power attrtition-rate coefficients with "no offset". ...
Numerical Determination of the Parity-Condition Parameter for Lanchester-Type Equations of Modern Warfare Brown, Gerald G.; Taylor, James G. (1978);This paper presents a simple numerical procedure for determining the parity-condition parameter for deterministic Lanchester-type combat between two homogeneous forces. Deterministic dierentidequation combat models are ...
On Liouville's normal form for Lanchester-type equations of modern warfare with variable coefficients Taylor, James G. (Monterey, California. Naval Postgraduate School, 1978-09); NPS55-78-024This paper shows that much new information about the dynamics of combat between two homogeneous forces modelled by Lanchester-type equations of modern warfare (also frequently referred to as 'square-law' attrition equations) ...