 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 46, Issue 5 / 2011 | Next article >> |
| V.S. Aslanov, "Orbital Oscillations of an Elastic Vertically-Tethered Satellite," Mech. Solids. 46 (5), 657-668 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
5 |
Pages |
657-668 |
| DOI |
10.3103/S0025654411050013 |
| Title |
Orbital Oscillations of an Elastic Vertically-Tethered Satellite |
| Author(s) |
V.S. Aslanov (Korolyov Samara State Aerospace University, Moskovskoe sh. 34, Samara, 443086 Russia, aslanov_vs@mail.ru) |
| Abstract |
The motion of a satellite in a circular orbit with respect to its center of mass is considered. The satellite bears an elastic tether system unrolled along the local vertical. The load at the end of the tether oscillates harmonically. The satellite motion under the action of the gravitational moment and the moment due to the tether tension force is studied. The bifurcation diagram is constructed and the hetero- and homoclinic separatrix trajectories are determined. Mel'nikov's method is used to study the satellite chaotic behavior near separatrices under the action of the periodic tether tension force. The results of the present paper can be used to analyze tether systems of gravitational stabilization and to study the orbital behavior of a satellite with an unrolled tether system with respect to the satellite center of mass. |
| Keywords |
space tether system, satellite, dynamics, bifurcation diagram, Mel'nikov's method, chaos |
| References |
| 1. | V. V. Beletskii and E. M. Levin,
Dynamics of Space Tether Systems
(Nauka, Moscow, 1990)
[in Russian]. |
| 2. | I. M. Sidorov,
"On the Use of Tether Systems to Construct a Constantly Operating
Transport Channel in Space,"
Polet,
No. 8, 36-39 (2000). |
| 3. | F. Zimmermann, U. Schöttle, and E. Messerschmid,
"Optimization of the Tether-Assisted Return Mission of a Guide Re-Entry Capsule,"
Aerospace Sci. Technol.
9 (8), 713-721 (2005). |
| 4. | P. Williams, A. Hyslop, M. Stelzer, and M. Kruijff,
"YES2 Optimal Trajectories in Presence of Eccentricity and Aerodynamics Drag,"
Acta Astronaut.
64 (7-8), 745-769 (2009). |
| 5. | 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)]. |
| 6. | V. V. Beletskii,
Artificial Satellite Motion about Its Center of Mass
(Nauka, Moscow, 1965)
[in Russian]. |
| 7. | P. Williams, C. Blanksby, and P. Trivailo,
"Tethered Planetary Capture: Controlled Maneuvers,"
Acta Astronaut.
53 (4), 681-708 (2003). |
| 8. | A. K. Misra,
"Dynamics and Control of Tethered Satellite Systems,"
Acta Astronaut.
63 (11-12), 1169-1177 (2008). |
| 9. | V. K. Mel'nikov,
"On the Stability of the Center for Time Periodic Perturbations,"
Trudy Moskov. Mat. Obshch.
No. 12, 3-52 (1963)
[Trans. Moscow Math. Soc. (Engl. Transl.)
No. 12, 1-57 (1963)]. |
| 10. | V. S. Aslanov,
"Chaotic Behavior of the Biharmonic Dynamics System,"
Int. J. Math. Math. Sci. (IJMMS),
2009, Article ID 319179 (2009). |
| 11. | J. Guckenheimer and Ph. Holmes,
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
(Springer, New York, 1997; In-t Komput. Issled., Moscow-Izhevsk, 2002). |
|
| Received |
02 July 2009 |
| Link to Fulltext |
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