TO THE TASK OF DEPLOYMENT OF THE SOLAR SAIL

The task of unrolling of synthetic film from the roll to the rectangle is considered in this article, for example, the task of unrolling of the Sun Sail (mirror film), or similar task of sliding of probes on the cables out of a spaceship. In view of proposed process of short duration the power of gravitation is not taken into account. The film or the cables are regarded as inextensible and weightless. Unrolling is done at the expense of centrifugal forces acting on the ballasts which are fixed on the ends of the film while the barrel (the spaceship) is spinning with a certain initial velocity. (The yards of the sail can be used as ballasts). It is supposed that unrolling is done with symmetry of the system being kept relative to the axis of spinning of the barrel. The result of the task is quadratures representing the family of phase paths with a parameter - an inertia moment of the barrel. After the final unrolling of the film the ballasts continues their movement relatively to the spaceship along the circle arcs with the centres in the points of fixing of the cables on the spaceship. This movement is also described as an equation of phase paths. During the process of expansion of the “The Sun Sail- Probes” system its angular velocity gradually decreases. Having separated the probes from the spaceship, one can slow down the spaceship spinning. It could be achieved by ejection of the ballasts on the threads out of the spaceship with the following break of the threads [3]. Some additional problems of unrolling of the Sun Sail are considered in the editions [1, 2].