Geodesic
Bifurcations of periodic solutions near triangular libration points in the three-body problem
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2010), pp. 82-89

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the problem on bifurcations of periodic solutions near triangular libration points in the plane elliptic bounded three-body problem. We determine values of the mass parameter such that at small values of the eccentricity the problem has non-stationary periodic solutions close to a libration point. We determine bifurcation types and study the asymptotic for the mentioned solutions.
Keywords: three-body problem, libration points, periodic solutions, asymptotic formulas.
Mots-clés : bifurcation 
@article{IVM_2010_6_a7,
     author = {M. G. Yumagulov and O. N. Belikova},
     title = {Bifurcations of periodic solutions near triangular libration points in the three-body problem},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {82--89},
     publisher = {mathdoc},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_6_a7/}
}
TY  - JOUR
AU  - M. G. Yumagulov
AU  - O. N. Belikova
TI  - Bifurcations of periodic solutions near triangular libration points in the three-body problem
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2010
SP  - 82
EP  - 89
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2010_6_a7/
LA  - ru
ID  - IVM_2010_6_a7
ER  - 
%0 Journal Article
%A M. G. Yumagulov
%A O. N. Belikova
%T Bifurcations of periodic solutions near triangular libration points in the three-body problem
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2010
%P 82-89
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2010_6_a7/
%G ru
%F IVM_2010_6_a7
M. G. Yumagulov; O. N. Belikova. Bifurcations of periodic solutions near triangular libration points in the three-body problem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2010), pp. 82-89. http://geodesic.mathdoc.fr/item/IVM_2010_6_a7/