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Differential equations for librational motion of gravity-oriented rigid body. / Kosjakov, E.A.; Tikhonov, A.A.

In: International Journal of Non-Linear Mechanics, Vol. 73, 07.2015, p. 51-57.

Research output: Contribution to journal › Article › peer-review

Harvard

Kosjakov, EA & Tikhonov, AA 2015, 'Differential equations for librational motion of gravity-oriented rigid body', International Journal of Non-Linear Mechanics, vol. 73, pp. 51-57. https://doi.org/10.1016/j.ijnonlinmec.2014.11.006, https://doi.org/10.1016/j.ijnonlinmec.2014.11.006

APA

Kosjakov, E. A., & Tikhonov, A. A. (2015). Differential equations for librational motion of gravity-oriented rigid body. International Journal of Non-Linear Mechanics, 73, 51-57. https://doi.org/10.1016/j.ijnonlinmec.2014.11.006, https://doi.org/10.1016/j.ijnonlinmec.2014.11.006

Vancouver

Kosjakov EA, Tikhonov AA. Differential equations for librational motion of gravity-oriented rigid body. International Journal of Non-Linear Mechanics. 2015 Jul;73:51-57. https://doi.org/10.1016/j.ijnonlinmec.2014.11.006, https://doi.org/10.1016/j.ijnonlinmec.2014.11.006

Author

Kosjakov, E.A. ; Tikhonov, A.A. / Differential equations for librational motion of gravity-oriented rigid body. In: International Journal of Non-Linear Mechanics. 2015 ; Vol. 73. pp. 51-57.

BibTeX

@article{14752290660940dc958c476ae7836874,
title = "Differential equations for librational motion of gravity-oriented rigid body",
abstract = "We consider a gravity-oriented rigid body on a circular Keplerian orbit in a central gravitational field. The motion of the body is affected by a perturbation torque given by a cubic approximation. With the inclusion of the third infinitesimal terms, we introduce a new notation for the differential equations of disturbed motion. This form generalizes the familiar equations in canonical variations extending them to the case where both the potential and the non-potential disturbing forces are operative. This form is convenient for the analysis of non-linear oscillations of a body about its center of mass with the use of the asymptotic methods of non-linear mechanics. (C) 2014 Elsevier Ltd. All rights reserved.",
keywords = "Gravity-oriented rigid body, Librational motion, Non-linear differential equations, Perturbation technique, Non-linear resonances, NONLINEAR OSCILLATIONS, HAMILTONIAN SYSTEM, RESONANCE",
author = "E.A. Kosjakov and A.A. Tikhonov",
year = "2015",
month = jul,
doi = "10.1016/j.ijnonlinmec.2014.11.006",
language = "Английский",
volume = "73",
pages = "51--57",
journal = "International Journal of Non-Linear Mechanics",
issn = "0020-7462",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Differential equations for librational motion of gravity-oriented rigid body

AU - Kosjakov, E.A.

AU - Tikhonov, A.A.

PY - 2015/7

Y1 - 2015/7

N2 - We consider a gravity-oriented rigid body on a circular Keplerian orbit in a central gravitational field. The motion of the body is affected by a perturbation torque given by a cubic approximation. With the inclusion of the third infinitesimal terms, we introduce a new notation for the differential equations of disturbed motion. This form generalizes the familiar equations in canonical variations extending them to the case where both the potential and the non-potential disturbing forces are operative. This form is convenient for the analysis of non-linear oscillations of a body about its center of mass with the use of the asymptotic methods of non-linear mechanics. (C) 2014 Elsevier Ltd. All rights reserved.

AB - We consider a gravity-oriented rigid body on a circular Keplerian orbit in a central gravitational field. The motion of the body is affected by a perturbation torque given by a cubic approximation. With the inclusion of the third infinitesimal terms, we introduce a new notation for the differential equations of disturbed motion. This form generalizes the familiar equations in canonical variations extending them to the case where both the potential and the non-potential disturbing forces are operative. This form is convenient for the analysis of non-linear oscillations of a body about its center of mass with the use of the asymptotic methods of non-linear mechanics. (C) 2014 Elsevier Ltd. All rights reserved.

KW - Gravity-oriented rigid body

KW - Librational motion

KW - Non-linear differential equations

KW - Perturbation technique

KW - Non-linear resonances

KW - NONLINEAR OSCILLATIONS

KW - HAMILTONIAN SYSTEM

KW - RESONANCE

U2 - 10.1016/j.ijnonlinmec.2014.11.006

DO - 10.1016/j.ijnonlinmec.2014.11.006

M3 - статья

VL - 73

SP - 51

EP - 57

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

ER -

ID: 3924679