Open AccessAcceleration-dependent Lagrangians in classical mechanics
Author(s) -
Ding Guang-Tao
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.3620
Subject(s) - acceleration , equations of motion , differential equation , motion (physics) , physics , classical mechanics , lagrangian , mathematical physics , quantum mechanics
The linear acceleration-dependent Lagrangians are studied. Under the symmetric conditions of coefficients in acceleration terms, the Lagrange's equations remain second-order differential equations. The approach to constructing an acceleration-dependent Lagrangian from its equations of motion is presented. The relations between the acceleration-dependent Lagrangians and the acceleration independent ones of the same system are studied. Two examples are given to illustrate the application of the results.