Standard

The estimation of controllability area in the problem of controllable movement in a neighborhood of collinear libration point. / Shmyrov, Alexander; Shmyrov, Vasily.

2015 International Conference on Mechanics - Seventh Polyakhov's Reading. ed. / A. A. Tikhonov. Institute of Electrical and Electronics Engineers Inc., 2015. 7106776 (2015 International Conference on Mechanics - Seventh Polyakhov's Reading).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Shmyrov, A & Shmyrov, V 2015, The estimation of controllability area in the problem of controllable movement in a neighborhood of collinear libration point. in AA Tikhonov (ed.), 2015 International Conference on Mechanics - Seventh Polyakhov's Reading., 7106776, 2015 International Conference on Mechanics - Seventh Polyakhov's Reading, Institute of Electrical and Electronics Engineers Inc., 2015 INTERNATIONAL CONFERENCE ON MECHANICS SEVENTH POLYAKHOV'S READING, Saint Petersburg, Russian Federation, 2/02/15. https://doi.org/10.1109/POLYAKHOV.2015.7106776, https://doi.org/10.1109/POLYAKHOV.2015.7106776

APA

Shmyrov, A., & Shmyrov, V. (2015). The estimation of controllability area in the problem of controllable movement in a neighborhood of collinear libration point. In A. A. Tikhonov (Ed.), 2015 International Conference on Mechanics - Seventh Polyakhov's Reading [7106776] (2015 International Conference on Mechanics - Seventh Polyakhov's Reading). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/POLYAKHOV.2015.7106776, https://doi.org/10.1109/POLYAKHOV.2015.7106776

Vancouver

Shmyrov A, Shmyrov V. The estimation of controllability area in the problem of controllable movement in a neighborhood of collinear libration point. In Tikhonov AA, editor, 2015 International Conference on Mechanics - Seventh Polyakhov's Reading. Institute of Electrical and Electronics Engineers Inc. 2015. 7106776. (2015 International Conference on Mechanics - Seventh Polyakhov's Reading). https://doi.org/10.1109/POLYAKHOV.2015.7106776, https://doi.org/10.1109/POLYAKHOV.2015.7106776

Author

Shmyrov, Alexander ; Shmyrov, Vasily. / The estimation of controllability area in the problem of controllable movement in a neighborhood of collinear libration point. 2015 International Conference on Mechanics - Seventh Polyakhov's Reading. editor / A. A. Tikhonov. Institute of Electrical and Electronics Engineers Inc., 2015. (2015 International Conference on Mechanics - Seventh Polyakhov's Reading).

BibTeX

@inproceedings{1efa13732f3e4e1c9f415515eda2e6ab,
title = "The estimation of controllability area in the problem of controllable movement in a neighborhood of collinear libration point",
abstract = "We consider the controllable orbital motion of a spacecraft in a neighborhood of the unstable collinear libration point L1 of the Earth-Sun system. We use Hill's equations, which are the special approximation of the equations of the circular restricted three-body problem, as a mathematical model. The control accelerations in this paper are directed along the Earth-Sun line. For the special family of control laws, which provided Lyapunov stability for the orbital motion in a neighborhood of the collinear libration point L1, we built the approximations of controllability areas with help of Hamiltonian of controllable system and we have presented examples of such areas. Also, the constructed control laws are investigated in circular three-body problem, which is more adequate model.",
author = "Alexander Shmyrov and Vasily Shmyrov",
note = "Publisher Copyright: {\textcopyright} 2015 IEEE. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.; 2015 INTERNATIONAL CONFERENCE ON MECHANICS SEVENTH POLYAKHOV'S READING : SEVENTH POLYAKHOV'S READING ; Conference date: 02-02-2015 Through 06-02-2015",
year = "2015",
month = may,
day = "13",
doi = "10.1109/POLYAKHOV.2015.7106776",
language = "English",
series = "2015 International Conference on Mechanics - Seventh Polyakhov's Reading",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
editor = "Tikhonov, {A. A.}",
booktitle = "2015 International Conference on Mechanics - Seventh Polyakhov's Reading",
address = "United States",
url = "http://pol2015.math.spbu.ru/en/, http://pol2015.math.spbu.ru/en/about/, http://pol2015.math.spbu.ru/",

}

RIS

TY - GEN

T1 - The estimation of controllability area in the problem of controllable movement in a neighborhood of collinear libration point

AU - Shmyrov, Alexander

AU - Shmyrov, Vasily

N1 - Conference code: 7

PY - 2015/5/13

Y1 - 2015/5/13

N2 - We consider the controllable orbital motion of a spacecraft in a neighborhood of the unstable collinear libration point L1 of the Earth-Sun system. We use Hill's equations, which are the special approximation of the equations of the circular restricted three-body problem, as a mathematical model. The control accelerations in this paper are directed along the Earth-Sun line. For the special family of control laws, which provided Lyapunov stability for the orbital motion in a neighborhood of the collinear libration point L1, we built the approximations of controllability areas with help of Hamiltonian of controllable system and we have presented examples of such areas. Also, the constructed control laws are investigated in circular three-body problem, which is more adequate model.

AB - We consider the controllable orbital motion of a spacecraft in a neighborhood of the unstable collinear libration point L1 of the Earth-Sun system. We use Hill's equations, which are the special approximation of the equations of the circular restricted three-body problem, as a mathematical model. The control accelerations in this paper are directed along the Earth-Sun line. For the special family of control laws, which provided Lyapunov stability for the orbital motion in a neighborhood of the collinear libration point L1, we built the approximations of controllability areas with help of Hamiltonian of controllable system and we have presented examples of such areas. Also, the constructed control laws are investigated in circular three-body problem, which is more adequate model.

UR - http://www.scopus.com/inward/record.url?scp=84938279753&partnerID=8YFLogxK

U2 - 10.1109/POLYAKHOV.2015.7106776

DO - 10.1109/POLYAKHOV.2015.7106776

M3 - Conference contribution

T3 - 2015 International Conference on Mechanics - Seventh Polyakhov's Reading

BT - 2015 International Conference on Mechanics - Seventh Polyakhov's Reading

A2 - Tikhonov, A. A.

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2015 INTERNATIONAL CONFERENCE ON MECHANICS SEVENTH POLYAKHOV'S READING

Y2 - 2 February 2015 through 6 February 2015

ER -

ID: 3975582