Analytical Quasi-Optimal Solution of the Problem of the Time-Optimal Rotation of a Spacecraft
| Autor: | A. V. Molodenkov, Ya. G. Sapunkov |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Spacecraft
Computer Networks and Communications business.industry Applied Mathematics Conical surface Time optimal Rigid body Theoretical Computer Science Control and Systems Engineering Applied mathematics Computer Vision and Pattern Recognition Boundary value problem Quaternion business Rotation (mathematics) Software ComputingMethodologies_COMPUTERGRAPHICS Information Systems Mathematics |
| Zdroj: | Journal of Computer and Systems Sciences International. 60:639-653 |
| ISSN: | 1555-6530 1064-2307 |
| DOI: | 10.1134/s1064230721030114 |
| Popis: | In the quaternion formulation, we consider the problem of the time-optimal rotation of a spacecraft (SC) as a rigid body of an arbitrary dynamic configuration under arbitrary specified boundary conditions. In the class of generalized conical motions, the optimal rotation problem is modified, which makes it possible to obtain its analytical solution. The analytical solution to the modified problem can be considered as an approximate (quasi-optimal) solution to the traditional time-optimal rotation problem. An algorithm for the quasi-optimal rotation of an SC is given. Numerical examples are given showing that the solution of the modified problem closely approximates the solution of the traditional problem of the time-optimal rotation of an SC. |
| Databáze: | OpenAIRE |
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