Geodesic
The differential pursuit game in the gravitation field
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (1988), pp. 31-37 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A pursuit game of two uniform objects in the gravitational attraction field is considered. It is supposed that the game runs through slim spherical layers and the control engines work uninterruptedly and produce in quantity constant powers, so that the control functions are only the orientational angles. Using R. Ajzek’s ‘`Fundamental equation", we receive an analytical correlation for the search of the game’s price and for some elementary positions – the evident expression of the game's price. 
@article{UZERU_1988_2_a4,
     author = {V. R. Barseghyan},
     title = {The differential pursuit game in the gravitation field},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {31--37},
     year = {1988},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZERU_1988_2_a4/}
}
TY  - JOUR
AU  - V. R. Barseghyan
TI  - The differential pursuit game in the gravitation field
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 1988
SP  - 31
EP  - 37
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/UZERU_1988_2_a4/
LA  - ru
ID  - UZERU_1988_2_a4
ER  - 
%0 Journal Article
%A V. R. Barseghyan
%T The differential pursuit game in the gravitation field
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 1988
%P 31-37
%N 2
%U http://geodesic.mathdoc.fr/item/UZERU_1988_2_a4/
%G ru
%F UZERU_1988_2_a4
V. R. Barseghyan. The differential pursuit game in the gravitation field. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (1988), pp. 31-37. http://geodesic.mathdoc.fr/item/UZERU_1988_2_a4/

[1] V. A. Ilin, G. E. Kuzmak, Optimalnye perelety kosmicheskikh apparatov, Nauka, M., 1976

[2] G. L. Grodzovskii, Yu. N. Ivanov, V. V. Tokarev, Mekhanika kosmicheskogo poleta (problemy optimizatsii), Nauka, M., 1975, 704 pp. | MR

[3] R. Aizeks, Differentsialnye igry, Mir, M., 1967 | MR | Zbl

[4] L. A. Petrosyan, Differentsialnye igry presledovaniya, Izd-vo Leningr. un-ta, L., 1977 | MR | Zbl