Abstract Based on the three-order Lagrangian equations, Hamilton's function of acceleration $H^\ast$ and generalized acceleration momentum $P_\alpha ^\ast$ are defined, and pseudo-Hamilton canonical equations corresponding to three-order Lagrangian equations are obtained. The equations are similar to Hamilton's canonical equations of analytical mechanics in form.
Received: 02 September 2005
Revised: 23 May 2006
Accepted manuscript online:
PACS:
45.20.Jj
(Lagrangian and Hamiltonian mechanics)
Cite this article:
Ma Shan-Jun(马善钧), Huang Pei-Tian(黄沛天), Yan Rong(颜蓉), and Zhao Hong-Xia(赵红霞) Three-order pseudo-Hamilton canonical equations 2006 Chinese Physics 15 2193
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