Aerospace Instrument-Making Annotation << Back ALGORITHM OF THE OPTIMAL REORIENTATION WITH A COMBINED OBJECTIVE FUNCTIONAL FOR AN AXIALLY SYMMETRIC SPACECRAFT IN THE CLASS OF CONICAL MOTIONS A.V. Molodenkov, Ya.G. Sapunkov, T.V. Molodenkova The problem of the optimal reorientation (the turn) of a spacecraft as a rigid body with one axis of symmetry is considered in the quaternion statement. As an optimality criterion we use a functional that combines time and power spent in order to turn a spacecraft. For simplifying problem (concerning dynamic Euler equations), we change the variables reducing the original optimal reorientation problem of an axially symmetric spacecraft to the problem of optimal reorientation of a rigid body with spherical mass distribution including one new scalar equation. The exact analytical solution of this problem in the class of conical motions is obtained. Algorithm of the optimal reorientation of a spacecraft is given. The numerical example is presented. Keywords: optimal control, spacecraft, axially symmetric rigid body, conical motion, algorithm. DOI: 10.25791/aviakosmos.07.2020.1169 Pp. 45-55.