Open AccessVI. Lagrange's ballistic problem
Author(s) -
A. E. H. Love,
Faith Pidduck
Publication year - 1922
Publication title -
philosophical transactions of the royal society of london. series a, containing papers of a mathematical or physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9258
pISSN - 0264-3952
DOI - 10.1098/rsta.1922.0006
Subject(s) - ballistics , tube (container) , internal ballistics , mechanics , piston (optics) , section (typography) , classical mechanics , physics , mathematics , calculus (dental) , mathematical analysis , propellant , engineering , mechanical engineering , computer science , aerospace engineering , projectile , optics , medicine , dentistry , quantum mechanics , wavefront , operating system
1.Introduction .—The first part of this paper, written by Love, contains a theoretical solution of the problem of rational hydrodynamics which has been named by writers on ballistics, “Lagrange’s problem”; the second part, written by Pidduck, gives the application to ballistics. In the problem it is supposed that a given mass of gas, which is initially in a uniform state, is contained in a segment of a tube of uniform section. At one end the segment of the tube is bounded by a fixed transverse section, and at the other end the tube is closed by a piston of given mass, which is initially at rest and is free to move along the tube without resistance. It is required to find the subsequent states of the gas and the motion of the piston.