#5480. Analytical Quasi-Optimal Solution of the Problem of the Time-Optimal Rotation of a Spacecraft

August 2026publication date
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Journal’s subject area:
Theoretical Computer Science;
Computer Science Applications;
Control and Systems Engineering;
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Abstract:
Abstract: 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.
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