Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

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IssuesArchive of Issues2017-6pp.595-604

Archive of Issues

Total articles in the database: 10864
In Russian (. . ): 8009
In English (Mech. Solids): 2855

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V.S. Aslanov and A.A. Avramenko, "Stability of Motion of a Tethered System when Towing Spacecraft with Propellant Outage," Mech. Solids. 52 (6), 595-604 (2017)
Year 2017 Volume 52 Number 6 Pages 595-604
DOI 10.3103/S0025654417060012
Title Stability of Motion of a Tethered System when Towing Spacecraft with Propellant Outage
Author(s) V.S. Aslanov (Samara University, Moskovskoe sh. 34, Samara, 443086 Russia,
A.A. Avramenko (Samara University, Moskovskoe sh. 34, Samara, 443086 Russia)
Abstract The plane motion in a circular orbit of a tethered system consisting of a space tug and a nonoperational spacecraft with propellant outage is considered, and the system motion with respect to its center of mass under the action of the gravitational torque and a constant driving force of the space tug is studied. Lagrangian formalism is used to construct the nonlinear equations of motion and the first-order approximation equations. An analysis of the frequencies and mode shapes permits determining a combination of the system parameters for which the deviation angles of the tether and the towed object do not attain significant values. The results can be used to analyze the behavior and the choice of theparameters of the tethered transport system intended for the space debris withdrawal from the orbit (upper stages of launchers and nonoperational satellites).
Keywords space tethered system, space debris, orbit, satellite
1.  V. V. Beletskii and E. M. Levin, Dynamics of Space Tethered Systems (Nauka, Moscow, 1990) [in Russian].
2.  V. S. Aslanov and A. S. Ledkov, Dynamics of the Tethered Satellite Systems (Woodhead Publ., Cambridge, 2012).
3.  V. S. Aslanov, "The Oscillations of a Body with an Orbital Tethered System," Prikl. Mat. Mekh. 71 (6), 1027-1033 (2007) [J. Appl. Math. Mech. (Engl. Transl.) 71 (6), 926-932 (2007)].
4.  V. S. Aslanov, "The Effect of the Elasticity of an Orbital Tether System on the Oscillations of a Satellite," Prikl. Mat. Mekh. 74 (4), 582-593 (2010) [J. Appl. Math. Mech. (Engl. Transl.) 74 (4), 416-424 (2010)].
5.  V. S. Aslanov, "Orbital Oscillations of an Elastic Vertically-Tethered Satellite," Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 3-15 (2011) [Mech. Solids (Engl. Transl.) 46 (5), 657-668 (2011)].
6.  V. S. Aslanov and V. V. Yudintsev, "Dynamics of Large Space Debris Removal Using Tethered Space Tug," Acta Astron. 91, 149-156 (2013).
7.  V. S. Aslanov and V. V. Yudintsev, "Dynamics of Large Debris Connected to Space Tug by a Tether," J. Guid. Control Dyn. 36 (6), 1654-1660 (2013).
8.  V. S. Aslanov and A. S. Ledkov, "Dynamics of Towed Large Space Debris Taking into Account Atmospheric Disturbance," Acta Mech. 225 (9), 2685-2697 (2014).
9.  V. S. Aslanov and V. V. Yudintsev, "Behavior of Tethered Debris with Flexible Appendage," Acta Astron. 104 (1), 91-98 (2014).
10.  V. S. Aslanov and V. V. Yudintsev, "Dynamics, Analytical Solutions, and Choice of Parameters for Towed Space Debris with Flexible Appendage," Adv. Space Res. 55, 660-667 (2015).
11.  A. P. Markeev, Theoretical Mechanics (CheRo, Moscow, 1999) [in Russian].
12.  N. N. Moiseev and V. V. Rumyantsev, Dynamics of a Solid with Cavities Filled with Fluid (Nauka, Moscow, 1965) [in Russian].
13.  G. N. Mikishev and B. I. Rabinovich, Dynamics of a Solid Partially Filled with a Liquid (Mashinostroenie, Moscow, 1968) [in Russian].
14.  K. S. Kolesnikov, Rocket Dynamics (Mashinostroenie, Moscow, 2003) [in Russian].
15.  K. A. Abgaryan and I. M. Rapoport, Rocket Dynamics (Mashinostroenie, Moscow, 1969) [in Russian].
16.  G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1968; Nauka, Moscow, 1978).
Received 26 July 2017
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