 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| A.V. Molodenkov and Ya.G. Sapunkov, "Analytical Solution of the Optimal Attitude Maneuver Problem with a Combined Objective Functional for a Rigid Body in the Class of Conical Motions," Mech. Solids. 51 (2), 135-147 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
2 |
Pages |
135-147 |
| DOI |
10.3103/S0025654416020011 |
| Title |
Analytical Solution of the Optimal Attitude Maneuver Problem with a Combined Objective Functional for a Rigid Body in the Class of Conical Motions |
| Author(s) |
A.V. Molodenkov (Institute for Precision Mechanics and Control, Russian Academy of Sciences, ul. Rabochaya 24, Saratov, 410028 Russia, molalexei@yandex.ru)
Ya.G. Sapunkov (Institute for Precision Mechanics and Control, Russian Academy of Sciences, ul. Rabochaya 24, Saratov, 410028 Russia) |
| Abstract |
The optimal attitude maneuver control problem without control constraints is studied in the quaternion statement for a rigid body with a spherical mass distribution. The performance criterion is given by a functional combining the time and energy used for the attitude maneuver. A new analytical solution in the class of conical motions is obtained for this problem on the basis of the Pontryagin maximum principle. |
| Keywords |
rigid body, spacecraft, optimal attitude maneuver, conical motion |
| References |
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| 7. | A. V. Molodenkov, "Quaternion Solution of the Optimal Attitude
Maneuver Problem for a Rigid Body with Spherical Distribution of
Mass," in Problems of Mechanics and Control. Collection of
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| 8. | A. V. Molodenkov, "Solution of the Optimal Attitude Maneuver
Problem for a Spherically Symmetric Spacecraft in One Special
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Control of Extraterrestrial Complexes", Evpatoriya, Krym (MAI, Moscow, 2001), p. 42 [in Russian]. |
| 9. | A. V. Molodenkov and Ya. G. Sapunkov, "A New Class of Analytical
Solutions in the Optimal Attitude Maneuver Problem for a
Spherically Symmetric Body," Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 16-27 (2012) [Mech. Solids (Engl. Transl.) 47 (2), 167-177 (2012)]. |
| 10. | A. V. Molodenkov and Ya. G. Sapunkov, "Solution of the Optimal
Attitude Maneuver Problem for a Spherically Symmetric Rigid Body
with Arbitrary Boundary Conditions in the Class of Generalized
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| 11. | L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze,
and E. F. Mishchenko,
The Mathematical Theory of Optimal Processes
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| 12. | Yu. N. Chelnokov,
Quaternion and Biquaternion Models and
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and Their Applications
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[in Russian]. |
| 13. | A. V. Molodenkov,
"On the Solution of the Darboux Problem,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 3-13 (2007)
[Mech. Solids (Engl. Transl.)
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| 14. | Ya. G. Sapunkov and A. V. Molodenkov, "The Investigation of
Characteristics of Distant Sounding System of the Earth with the Help of Cosmic Device," "Numerical Solution of the Problem of Optimal Reorientation of a Rotating Spacecraft," Supplement for Mekhatron. Avtomatiz. Upravl.: Avtomatich. Avtomatizir. Upr. Let. App. No. 6, 10-15 (2008). |
|
| Received |
20 January 2014 |
| Link to Fulltext |
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