Authors: Dragović, Vladimir 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On integrable potential perturbations of the Jacobi problem for the geodesies on the ellipsoid
Journal: Journal of Physics A: Mathematical and General
Volume: 29
Issue: 13
First page: L317
Last page: L321
Issue Date: 1-Jan-1996
Rank: M21
ISSN: 0305-4470
DOI: 10.1088/0305-4470/29/13/002
Abstract: 
All integrable mechanical systems describing motion of a particle on an ellipsoid surface in three-dimensional space are described in the class of the Loran polynomial potentials. Two countable families of the basic solutions are obtained. Explicit formulae are given. The limit, when the considered system goes into the billiard system within an ellipse, is analysed, and the results are compared with those obtained previously, in relation to the billiard system.
Publisher: IOP Science

Show full item record

SCOPUSTM   
Citations

12
checked on Jun 13, 2024

Page view(s)

31
checked on May 9, 2024

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.