Electronic Resource
Springer
Celestial mechanics and dynamical astronomy
54 (1992), S. 393-399
ISSN:
1572-9478
Keywords:
Central field
;
closed orbits
;
spheroconical coordinates
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract In this article the generalization of the motion of a particle in a central field to the case of a constant curvature space is investigated. We found out that orbits on a constant curvature surface are closed in two cases: when the potential satisfies Iaplace-Beltrami equation and can be regarded as an analogue of the potential of the gravitational interaction, and in the case when the potential is the generalization of the potential of an elastic spring. Also the full integrability of the generalized two-centre problem on a constant curvature surface is discovered and it is shown that integrability remains even if elastic “forces” are added.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00049149
Permalink
|
Location |
Call Number |
Expected |
Availability |