On applicability limits of Zhukovsky's model for the gliding flight
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 7, pp. 21-33.

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

In the studies of the problem of the gliding flight, i.e., aircraft longitudinal movement with its engines switched off, the aircraft was traditionally assumed to be an absolutely rigid body, the Earth was not rotating and had a plane surface and the atmosphere was quiet. Further, the attack angle and the air density were assumed constant. The aim of this paper is to discuss the applicability limits of these assumptions.
@article{FPM_2005_11_7_a3,
     author = {A. V. Vlakhova},
     title = {On applicability limits of {Zhukovsky's} model for the gliding flight},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {21--33},
     publisher = {mathdoc},
     volume = {11},
     number = {7},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_7_a3/}
}
TY  - JOUR
AU  - A. V. Vlakhova
TI  - On applicability limits of Zhukovsky's model for the gliding flight
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2005
SP  - 21
EP  - 33
VL  - 11
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2005_11_7_a3/
LA  - ru
ID  - FPM_2005_11_7_a3
ER  - 
%0 Journal Article
%A A. V. Vlakhova
%T On applicability limits of Zhukovsky's model for the gliding flight
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2005
%P 21-33
%V 11
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2005_11_7_a3/
%G ru
%F FPM_2005_11_7_a3
A. V. Vlakhova. On applicability limits of Zhukovsky's model for the gliding flight. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 7, pp. 21-33. http://geodesic.mathdoc.fr/item/FPM_2005_11_7_a3/

[1] Andronov A. A., Vitt A. A., Khaikin S. E., Teoriya kolebanii, Fizmatlit, M., 1959

[2] G. S. Byushgens (red.), Aerodinamika, ustoichivost i upravlyaemost sverkhzvukovykh samolëtov, Nauka; Fizmatlit, M., 1998

[3] Bochkarëv A. F., Andreevskii V. V., Belokonov V. M. i dr., Aeromekhanika samolëta. Dinamika polëta, Mashinostroenie, M., 1985

[4] Vasileva A. B., Butuzov V. F., Asimptoticheskie metody v teorii singulyarnykh vozmuschenii, Vysshaya shkola, M., 1990 | MR

[5] Zhukovskii N. E., “O parenii ptits”, Sobr. soch., T. 4, Gostekhizdat, 1949, 5

[6] Kuzmina R. P., Asimptoticheskie metody dlya obyknovennykh differentsialnykh uravnenii, Editorial URSS, M., 2003

[7] Novozhilov I. V., Fraktsionnyi analiz, Izd-vo Mosk. un-ta, M., 1995 | MR

[8] Ostoslavskii I. V., Aerodinamika samolëta, Oborongiz, M., 1957

[9] Sedov L. I., Mekhanika sploshnoi sredy, 5-e izd., ispr. T. 2, Nauka, M., 1994 | MR

[10] Tikhonov A. N., “Sistemy differentsialnykh uravnenii, soderzhaschie malye parametry pri proizvodnykh”, Mat. sb., 31:3 (1952), 575–586 | MR | Zbl

[11] Novozhilov I. V., Fractional Analysis. Methods of Motion Decomposition, Birkhäuser, Boston, 1997 | MR | Zbl