Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (7): 683-692.

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RELATIVISTIC VARIATION PRINCIPLES AND EQUATION OF MOTION FOR VARIABLE MASS CONTROLLABLE MECHANICAL SYSTEM

Luo Shaokai   

  1. Shangqiu Teachers College, Shangqiu 476000, P. R. China
  • Received:1995-07-05 Online:1996-07-18 Published:1996-07-18
  • Supported by:
    Project supported by the Natural Science Foundation of Henan Province

Abstract: With classical variable mass and relativistic variable mass cases being considered.the relativistic D' Alembert principles of Lagrange form Nielsen form and Appell. form for variable mass controllable mechanical system are given the relativistic Chaplygin equation. Nielsen equation and Appell equation. for variable mass controllable mechanical system in quasi-coordinates and generalized-coordinates are obtained, and the equations of motion of relativistic controllable mechanical system for holonomic system and constant mass system are diseussed

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