Geodesic
On the stability of satellite's motion in the elliptical orbit in case of the cylindrical precession
Matematičeskoe modelirovanie, Tome 16 (2004) no. 7, pp. 3-5 
T. E. Churkina. On the stability of satellite's motion in the elliptical orbit in case of the cylindrical precession. Matematičeskoe modelirovanie, Tome 16 (2004) no. 7, pp. 3-5. http://geodesic.mathdoc.fr/item/MM_2004_16_7_a0/
@article{MM_2004_16_7_a0,
     author = {T. E. Churkina},
     title = {On the stability of satellite's motion in the elliptical orbit in case of the cylindrical precession},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--5},
     year = {2004},
     volume = {16},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_7_a0/}
}
TY  - JOUR
AU  - T. E. Churkina
TI  - On the stability of satellite's motion in the elliptical orbit in case of the cylindrical precession
JO  - Matematičeskoe modelirovanie
PY  - 2004
SP  - 3
EP  - 5
VL  - 16
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/MM_2004_16_7_a0/
LA  - ru
ID  - MM_2004_16_7_a0
ER  - 
%0 Journal Article
%A T. E. Churkina
%T On the stability of satellite's motion in the elliptical orbit in case of the cylindrical precession
%J Matematičeskoe modelirovanie
%D 2004
%P 3-5
%V 16
%N 7
%U http://geodesic.mathdoc.fr/item/MM_2004_16_7_a0/
%G ru
%F MM_2004_16_7_a0

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

The stability of satellite's motion in the elliptical orbit in case of the cylindrical precession [1] is under investigation. Analytical and numerical methods are used. Stability and instability regions at first approximation in the sense of Liapunov have been received in the space of parameters of the problem (inertial parameter and eccentricity of the orbit). Nonlinear analysis is also carried out.

[1] Beletskii V. V., Dvizhenie sputnika otnositelno tsentra mass v gravitatsionnom pole, Izdatelstvo Moskovskogo universiteta, M., 1975, 308 pp.

[2] Markeev L. P., Issledovaniya ustoichivosti dvizheniya v nekotorykh zadachakh nebesnoi mekhaniki, Institut prikladnoi matematiki AN SSSR, Moskva, 1970, 163 pp.

[3] Markeev A. P., Chekhovskaya T. N., “Ob ustoichivosti tsilindricheskoi pretsessii sputnika na ellipticheskoi orbite”, PMM, 40 (1976) | MR

[4] Markeev A. P., Teoreticheskaya mekhanika, Redaktsiya zhurnala “Regulyarnaya i khaoticheskaya dinamika”, M., 1999, 569 pp.

[5] Markeev A. P., Tochki libratsii v nebesnoi mekhanike i kosmodinamike, Nauka, Glavnaya redaktsiya fiziko-matematicheskoi literatury, M., 1978, 312 pp.

[6] Lyapunov A. M., Ob ustoichivosti dvizheniya v odnom chastnom sluchae zadachi o trekh telakh, Sobr. soch., t. 1, Izd-vo AN SSSR, M.-L., 1954

[7] Moser J., “New aspects in the theory of stability of hamiltonian systems, Communs”, Pure and Appl. Math., 11:1 (1958) | MR