Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337

Выпуски:
Том 51, 2019 Том 50, 2018 Том 49, 2017 Том 48, 2016 Том 47, 2015 Том 46, 2014 Том 45, 2013 Том 44, 2012 Том 43, 2011 Том 42, 2010 Том 41, 2009 Том 40, 2008 Том 39, 2007 Том 38, 2006 Том 37, 2005 Том 36, 2004 Том 35, 2003 Том 34, 2002 Том 33, 2001 Том 32, 2000 Том 31, 1999 Том 30, 1998 Том 29, 1997 Том 28, 1996

Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v50.i7.40
pages 35-47

Investigation of the Influence of Control Forces on the Stability of a Satellite with a Gravitational Stabilizer by Means of Computer Algebra

Andrey V. Banshchikov
V.M. Matrosov Institute of Systems Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk (Russia)

Краткое описание

The problem of the influence of forces on stability with respect to equilibrium of satellite with a controlled gravitational stabilizer on the circular orbit is researched. In space of the entered parameters the domains with various degrees of instability by Poincare are found. Assuming that the potential system is unstable, the issues of the possibility of its stabilization up to asymptotic stability are considered. The parametric analysis of the obtained inequalities is carried out with the help of Mathematica built-in tools for symbolic-numerical modelling.

ЛИТЕРАТУРА

  1. Sarychev V.A., Questions of orientation of artificial satellites, Itogi nauki i tekhniki. Issledovanie kosmicheskogo prostranstva, VINITI, Moscow, 1978, 11, 5–223.

  2. Potapenko E.M., Dynamics of a spacecraft with direct active control of a gravitational stabilizer, Kosmicheskie issledovaniya, 1988, 26, No. 5, 699–708.

  3. Chetaev N.G., Stability of motion. Works on analytical mechanics [in Russian], Izdatelstvo AN SSSR, 1962.

  4. Merkin D.R., Introduction to the theory of motion stability [in Russian], Nauka, Moscow, 1987.

  5. Agafonov S.A., On stability and stabilization of motion of nonconservative mechanical systems, Prikladnaya matematika i mekhanika, 2010, 74, No. 4, 560–566.

  6. Mailybaev A.A., Seyranyan A.P., Influence of nonconservative forces on the stability of systems with multiple frequencies and the paradox of Nikolai, Doklady Akademii Nauk, 2011, 436, No. 2, 188–194.

  7. Aleksandrov A.Yu., Kosov A.A., On the stability of gyroscopic systems, Vestnik SPb. Universiteta, Series 10, 2013, No. 2, 3–13.

  8. Puzyrev V.E., Savchenko N.V., Evaluation of the influence of the damping moment on the stability of uniform rotations of an asymmetric gyroscope, Mekhanika tverdogo tela, 2012, No. 42, 135–142.

  9. Golinko S.I., Slynko V.I., Influence of the structure of forces on the stability of gyroscopic mechanical systems with impulse action, Prikladnaya mekhanika, 2016, 52, No. 3, 105–120.

  10. Banshchikov A.V., Burlakova L.A., Irtegov V.D., Titorenko T.N., Problems of mechanics and computer algebra, Matematicheskie mashiny i sistemy, 2008, No. 4, 82–97.

  11. Banshchikov A.V., Burlakova L.A., Irtegov V.D., Titorenko T.N., Symbolic computations in modeling and qualitative analysis of dynamic systems, Vychislitelnyye tekhnologii, 2014, 19, No. 6, 3–18.

  12. Banshchikov A.V., Burlakova L.A., Irtegov V.D., Titorenko T.N., LinModel software complex for analysis of the dynamics of high-dimensional mechanical systems, Certificate of state registration of the computer program. No 2008610622. FGU FIPS, February.

  13. Banshchikov A.V., Parametric analysis of the stability conditions of a satellite with a gravitational stabilizer, Sovremennyye tekhnologii, Sistemnyi analiz, Modelirovanie, 2010, No. 2 (26), 24–28.

  14. Banshchikov A.V. , On the gyroscopic stabilization of the equilibrium position of a satellite with a gravitational stabilizer, Trudy XI Mezhdunarodnoy Chetayevskoy konferentsii “Analiticheskaya mekhanika, ustoychivost i upravlenie”, Vol. 2, Section 2, Stability.

  15. Banshchikov А.V., On the asymptotic stability of a satellite with a gravitational stabilizer, Lecture Notes in Computer Science, 2017, 10490, 16–26.

  16. Gantmakher F.R., Theory of matrices [in Russian], Nauka, Moscow, 1967.

  17. Banshchikov A.V., Chaikin S.V., Analysis of stability of relative equilibria of an elongated axisymmetric gyrostat by means of symbolic-numerical modeling, Kosmicheskie issledovaniya, 2015, 53, No. 5, 414–420.

  18. Banshchikov A.V., Parametric analysis of the conditions of gyroscopic stabilization of the relative equilibria of an oblate axisymmetric gyrostat, Matematicheskoye modelirovanie, 2016, 28, No. 4, 2006, 33–42.


Articles with similar content:

Optimization of the Parameters and Motion Control Modes of the Bilegged Walking Robot
Journal of Automation and Information Sciences, Vol.48, 2016, issue 12
Miroslav V. Demydyuk, Bogdan A. Lytvyn
Computer Simulation for Dynamics of Elastic Multi-link Space Robots-manipulators
Journal of Automation and Information Sciences, Vol.31, 1999, issue 7-9
Tatyana V. Zavrazhina
Hamiltonian Dynamics of the Symmetric Top in External Axially-Symmetric Fields. Magnetic Retention of a Rigid Body
Journal of Automation and Information Sciences, Vol.50, 2018, issue 7
Stanislav S. Zub
THE UNIFIED INTEGRAL TRANSFORMS (UNIT) ALGORITHM WITH TOTAL AND PARTIAL TRANSFORMATION
Computational Thermal Sciences: An International Journal, Vol.6, 2014, issue 6
Joao N. N. Quaresma, Diego C. Knupp, Leandro A. Sphaier, Carolina Palma Naveira-Cotta, Renato M. Cotta
On One Approach to the Study of the Initial Boundary Value Problems of Mathematical Physics
Journal of Automation and Information Sciences, Vol.31, 1999, issue 1-3
Vladimir Antonovich Stoyan