Abstract
Generalized Hamilton’s Principle (GHP) is proposed and proved in this paper. According to GHP and based on the idea of finite element methods, a new numerical method is given out. By the method, numerical solution of a completed conservative system under initial condition satisfies that energy integration keeps constantly. The convergence of the method is discussed. As an example, application to the plane circle restricted three-body problem are given with comparing to R-K method. Also some ideas to improve the new method in future are proposed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
D. T. Greenwood, Classical Dynamics, 1977.
G. Strang, G. J. Fix, An Analysis of The Finite Element Methods, 1973
S. W. Mccuskey, Introduction to Celestial Mechanics, 1963.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Kluwer Academic Publishers
About this paper
Cite this paper
Cao, L., Tong, F. (1988). Generalized Hamilton’s Principle and its Application. In: Valtonen, M.J. (eds) The Few Body Problem. Astrophysics and Space Science Library, vol 140. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2917-3_14
Download citation
DOI: https://doi.org/10.1007/978-94-009-2917-3_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7813-9
Online ISBN: 978-94-009-2917-3
eBook Packages: Springer Book Archive