Regimes of regular and chaotic motion of gyrostats in the central gravity field

摘要

In this article, the partial case of gyrostats angular motion in the central gravitational field is investigated at the condition of the collinearity of the angular momentum and the gravity field gradient. This case is closely connected with V.A. Stekloff's case of the rigid body motion and can be characterized as its partial generalization on the gyrostat motion. Considered dynamical circumstances can be realized in "conical precessions" regimes of rotating prolate gyrostat-satellites at the stabilization by the gravitational way along the local vertical direction. The corresponding analytical solution for the gyrostat/gyrostat-satellite angular motion parameters is obtained in terms of elliptic functions. In addition, the possibility of chaotization phenomena in the gyrostat-satellite angular motion are investigated. (C) 2018 Elsevier B.V. All rights reserved.