Mathematical modelling

of a solar sail motion in orientation mode

V.G.Veretennikov, V.M.Churkin, V.A.Sinitzyn, V.I.Penkov, O.A.Alexandrov

Moscow Aviation Institute

Volokolamskoe shosse, 4, Moscow, A-80, GSP-3, 125993, Russia

 

Movement of one of perspective designs of system of orientation of a solar sail of space vehicle (SV) is considered. The system consists of a sail and a flywheel, connected by kardan joint and rotating around of own axes. The sail and a flywheel are represented by homogeneous round disks, and case SV, - dynamically symmetric firm body with the main axis of the inertia conterminous to an axis of rotation of a sail. Control of orientation of a sail is carried out enclosed to levers the hinge by controlling moments. It is considered, that the centre of weights of system goes on the given circular orbit to a field of parallel forces which linear change along a radius - vector determining position of the centre of weights concerning drawing centre.

The mathematical description of movement of the system is offered, allowing approximately to investigate influence of its key parameters on process of orientation. Make expressions for kinetic energy and the generalized forces of system, write down the kinematic equations. Formation of mathematical model finishes with the help of a package of the applied programs intended for numerical research of movement of a solar sail in a mode of orientation. Examples of calculation of characteristics of movement the systems received with the help of offered model are resulted.