1.
Chernoivan V. A., Mamaev I. S.
The restricted two-body problem and the kepler problem in the constant curvature spaces
Regular and Chaotic Dynamics, 1999, vol. 4, no. 2, pp. 112-124
Abstract
pdf (807.85 Kb)
In this work we carry out the bifurcation analysis of the Kepler problem on $S^3$ and $L^3$, and construct the analogues of Delaunau variables. We consider the problem of motion of a mass point in the field of moving Newtonian center on $S^2$ and $L^2$. The perihelion deviation is derived by the method of perturbation theory under the small curvature, and a numerical investigation is made, using anology of this problem with rigid body dynamics.
| Citation: |
Chernoivan V. A., Mamaev I. S., The restricted two-body problem and the kepler problem in the constant curvature spaces, Regular and Chaotic Dynamics, 1999, vol. 4, no. 2, pp. 112-124 |
| DOI: |
10.1070/RD1999v004n02ABEH000107 |
| Full text: |
pdf
(807.85 Kb)
|
Journal Info
| Impact-factor WoS (2022): |
1.400 (Q2) |
| Impact-factor RSCI (2022): |
0.399 (Q2) |
| ISSN (print): |
1560-3547 |
| ISSN (online): |
1468-4845 |
| Site: |
http://rcd.ics.org.ru/ |
