 | | 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, "Solution of the Optimal Turn Problem for a Spherically Symmetric Rigid Body with Arbitrary Boundary Conditions in the Class of Generalized Conical Motions," Mech. Solids. 49 (5), 495-505 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
5 |
Pages |
495-505 |
| DOI |
10.3103/S0025654414050021 |
| Title |
Solution of the Optimal Turn Problem for a Spherically Symmetric Rigid Body with Arbitrary Boundary Conditions in the Class of Generalized Conical Motions |
| Author(s) |
A.V. Molodenkov (Institute for Precision Mechanics and Control, Russian Academy of Sciences, ul. Rabochaya 24, Saratov, 410028 Russia, iptmuran@san.ru, molalexei@yandex.ru)
Ya.G. Sapunkov (Chernyshevskii Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012 Russia, vem@info.sgu.ru) |
| Abstract |
We consider the problem of time- and energy consumption-optimal turn of a rigid body with spherical mass distribution under arbitrary boundary conditions on the angular position and angular velocity of the rigid body. The optimal turn problem is modified in the class of generalized conical motions, which allows one to obtain closed-form solutions for equations of motion with arbitrary constants. Thus, solving the optimal control boundary value problem is reduced to solving a system of nonlinear algebraic equations for the constants. Numerical examples are considered to illustrate the proximity between the solutions of the traditional and modified problems of optimal turn of a rigid body. |
| Keywords |
rigid body, spacecraft, optimal turn, arbitrary boundary conditions |
| References |
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|
| Received |
09 July 2012 |
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