Bifurcation of 4π-periodic solutions of the planar, restricted, elliptical three-body problem
- 22 February 2009
- journal article
- Published by Pleiades Publishing Ltd in Astronomy Reports
- Vol. 53 (2) , 148-152
- https://doi.org/10.1134/s1063772909020061
Abstract
The bifurcation of periodic solutions in the vicinity of triangular libration points of the planar, elliptical, restricted three-body problem is considered. Values µ0 of the mass parameter µ are determined, such that the problem has non-stationary, periodic solutions close to the libration points for values of µ close to µ0 and small values of the eccentricity ɛ ⩽ 0. Asymptotic formulas for these solutions in powers of ɛ and µ − µ0 are determined.Keywords
This publication has 1 reference indexed in Scilit:
- Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector FieldsPublished by Springer Nature ,1983