Geodesic
Properties of certain functions of celestial mechanics
Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 109-116.

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

In [1] the planar motion of a satellite in an elliptic orbit by the Krylov–Bogolyubov asymptotic method is studied. In particular, oscillations of a satellite in an absolute coordinate system are considered. In this case, the terms of the first, second, and fourth orders in the small parameter are trivially equal to zero in the averaged system. In this article, the proofs of nontrivial statements are given for the above-mentioned preprint, and viz., the terms of the third order are also zero and certain coefficients in terms of the fifth order are equal to each other. 
@article{MZM_1977_22_1_a11,
     author = {A. D. Bruno},
     title = {Properties of certain functions of celestial mechanics},
     journal = {Matemati\v{c}eskie zametki},
     pages = {109--116},
     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a11/}
}
TY  - JOUR
AU  - A. D. Bruno
TI  - Properties of certain functions of celestial mechanics
JO  - Matematičeskie zametki
PY  - 1977
SP  - 109
EP  - 116
VL  - 22
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a11/
LA  - ru
ID  - MZM_1977_22_1_a11
ER  - 
%0 Journal Article
%A A. D. Bruno
%T Properties of certain functions of celestial mechanics
%J Matematičeskie zametki
%D 1977
%P 109-116
%V 22
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a11/
%G ru
%F MZM_1977_22_1_a11
A. D. Bruno. Properties of certain functions of celestial mechanics. Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 109-116. http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a11/