A Caltech Library Service

The Effect of Gunfire on the Longitudinal Motion of an Airplane


Lapin, Ellis (1941) The Effect of Gunfire on the Longitudinal Motion of an Airplane. Engineer's thesis, California Institute of Technology. doi:10.7907/GQG7-6C62.


The effect produced by the reaction forces and moments resulting from the fire of light and heavy calibre rapid fire guns on the path of motion of a modern military aircraft is discussed. This discussion is made on the basis of the "exact" equations of motion as developed by Bryan, Routh, and others, using the forms given in Dr. C. B. Millikan's notes on the dynamic stability of the airplane. The formal solution is made by the use of Heaviside operational calculus. For general use there is developed a nomogram based on a series solution to the differential equations of motion. The application of this nomogram is illustrated and it is shown to give an easy and rapid approximation to the disturbance, and a sufficiently accurate one within the time ranges required. Since the exact solution requires several hours and the use of an experienced computer on a computing machine while the nomogram permits slide rule computations and results in a solution within a few minutes, its usefulness is readily apparent. The extension of the methods used in this paper to disturbed lateral motions is briefly discussed.

Item Type:Thesis (Engineer's thesis)
Subject Keywords:(Aeronautical Engineering)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Klein, Arthur Louis
Thesis Committee:
  • Klein, Arthur Louis (chair)
  • Millikan, Clark Blanchard
  • Stewart, Homer Joseph
  • Biot, Maurice A.
Defense Date:1 January 1941
Record Number:CaltechETD:etd-11062008-151722
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4430
Deposited By: Imported from ETD-db
Deposited On:21 Nov 2008
Last Modified:09 Nov 2023 23:56

Thesis Files

PDF (Lapin_e_1941.pdf) - Final Version
See Usage Policy.


Repository Staff Only: item control page