Geodesic
Coplanar libration points in the generalized restricted circular problem of three bodies
Russian journal of nonlinear dynamics, Tome 7 (2011) no. 3, pp. 569-576

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

A particle steady motions in vicinity of dynamically symmetric precessing rigid body are studied in assumption that the body gravitational field is modeled as two centers gravitational field. The particle motion equations are written as two-parametric generalization for equations of Restricted Circular Problem of Three Bodies (RCP3B). Existence and number of the particle relative equilibria in the plane passing through the body axis of dynamical symmetry and through the vector of angular momentum are established. These equilibria called Coplanar Libration Points (CLP) are analogs of Eulerian Libration Points in RCP3B. Stability of CLP is studied for the first approximation in assumption that attracting centers have equal masses.
Keywords: problem of three bodies, libration points, stability, steady motions, asteroid. 
@article{ND_2011_7_3_a11,
     author = {Vladimir V. Beletskii and Alexander V. Rodnikov},
     title = {Coplanar libration points in the generalized restricted circular problem of three bodies},
     journal = {Russian journal of nonlinear dynamics},
     pages = {569--576},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2011_7_3_a11/}
}
TY  - JOUR
AU  - Vladimir V. Beletskii
AU  - Alexander V. Rodnikov
TI  - Coplanar libration points in the generalized restricted circular problem of three bodies
JO  - Russian journal of nonlinear dynamics
PY  - 2011
SP  - 569
EP  - 576
VL  - 7
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2011_7_3_a11/
LA  - ru
ID  - ND_2011_7_3_a11
ER  - 
%0 Journal Article
%A Vladimir V. Beletskii
%A Alexander V. Rodnikov
%T Coplanar libration points in the generalized restricted circular problem of three bodies
%J Russian journal of nonlinear dynamics
%D 2011
%P 569-576
%V 7
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2011_7_3_a11/
%G ru
%F ND_2011_7_3_a11
Vladimir V. Beletskii; Alexander V. Rodnikov. Coplanar libration points in the generalized restricted circular problem of three bodies. Russian journal of nonlinear dynamics, Tome 7 (2011) no. 3, pp. 569-576. http://geodesic.mathdoc.fr/item/ND_2011_7_3_a11/