Geodesic
Estimation of the probability of capture into resonance and parametric analysis in the descent of an asymmetric spacecraft in an atmosphere
Sibirskij žurnal industrialʹnoj matematiki, Tome 21 (2018) no. 3, pp. 74-83

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

Under consideration is the nonlinear dynamical system describing the near-resonance motion in the atmosphere of a spacecraft with small aerodynamic, mass, and inertial asymmetries. The aim of the study is to obtain an expression for estimating the probability of capture into the principal resonance. It is shown that the expression for estimating the probability of capture into resonance makes it possible to determine the magnitude of asymmetries of the spacecraft both in the realization of capture into and in passing through the principal resonance. The veracity of the obtained estimate of the probability of capture into resonance is confirmed by the results of numerical simulation in the problem of descent of a spacecraft in the atmosphere of Mars.
Keywords: spacecraft, asymmetry, resonance, estimate, probability, atmosphere
Mots-clés : Mars. 
@article{SJIM_2018_21_3_a6,
     author = {E. V. Kurkina and V. V. Lyubimov},
     title = {Estimation of the probability of capture into resonance and parametric analysis in the descent of an asymmetric spacecraft in an atmosphere},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {74--83},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2018_21_3_a6/}
}
TY  - JOUR
AU  - E. V. Kurkina
AU  - V. V. Lyubimov
TI  - Estimation of the probability of capture into resonance and parametric analysis in the descent of an asymmetric spacecraft in an atmosphere
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2018
SP  - 74
EP  - 83
VL  - 21
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2018_21_3_a6/
LA  - ru
ID  - SJIM_2018_21_3_a6
ER  - 
%0 Journal Article
%A E. V. Kurkina
%A V. V. Lyubimov
%T Estimation of the probability of capture into resonance and parametric analysis in the descent of an asymmetric spacecraft in an atmosphere
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2018
%P 74-83
%V 21
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2018_21_3_a6/
%G ru
%F SJIM_2018_21_3_a6
E. V. Kurkina; V. V. Lyubimov. Estimation of the probability of capture into resonance and parametric analysis in the descent of an asymmetric spacecraft in an atmosphere. Sibirskij žurnal industrialʹnoj matematiki, Tome 21 (2018) no. 3, pp. 74-83. http://geodesic.mathdoc.fr/item/SJIM_2018_21_3_a6/