The Resource Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare, by James G. Taylor and Gerald G. Brown

Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare, by James G. Taylor and Gerald G. Brown

Label
Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare
Title
Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare
Statement of responsibility
by James G. Taylor and Gerald G. Brown
Creator
Contributor
Subject
Language
eng
Summary
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)
Cataloging source
AD#
http://library.link/vocab/creatorName
Taylor, James G
Government publication
federal national government publication
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • technical reports
http://library.link/vocab/relatedWorkOrContributorName
  • Brown, Gerald Gerard
  • Naval Postgraduate School (U.S.)
http://library.link/vocab/subjectName
  • Tactics
  • Combat
  • War games
  • Games of strategy (Mathematics)
Type of report
Technical report; 1977.
Label
Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare, by James G. Taylor and Gerald G. Brown
Link
Instantiates
Publication
Note
  • Title from cover
  • "June 1977"--Cover
  • "NPS-55-77-27"--Cover
Bibliography note
Includes bibliographical references (p. 38-39)
Extent
1 online resource (39 pages
Form of item
online
Governing access note
"Approved for public release; distribution unlimited"--Cover
Other physical details
illustrations)
Specific material designation
remote
Label
Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare, by James G. Taylor and Gerald G. Brown
Link
Publication
Note
  • Title from cover
  • "June 1977"--Cover
  • "NPS-55-77-27"--Cover
Bibliography note
Includes bibliographical references (p. 38-39)
Extent
1 online resource (39 pages
Form of item
online
Governing access note
"Approved for public release; distribution unlimited"--Cover
Other physical details
illustrations)
Specific material designation
remote

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