On the geometry and behavior of n -body motions

Eldar Straume

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-44

Abstract:

The kinematic separation of size, shape, and orientation of n -body systems is investigated together with specific issues concerning the dynamics of classical n -body motions. A central topic is the asymptotic behavior of general collisions, extending the early work of Siegel, Wintner, and more recently Saari. In particular, asymptotic formulas for the derivatives of any order of the basic kinematic quantities are included. The kinematic Riemannian metric on the congruence and shape moduli spaces are introduced via O ( 3 ) -equivariant geometry. For n = 3 , a classical geometrization procedure is explicitly carried out for planary 3-body motions, reducing them to solutions of a rather simple system of geodesic equations in the 3-dimensional congruence space. The paper is largely expository and various known results on classical n -body motions are surveyed in our more geometrical setting.

Date: 2001
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/28/608693.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/28/608693.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:608693

DOI: 10.1155/S016117120100669X

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().