Aerospace Instrument-Making Annotation << Back ANALYTICAL SOLUTION OF THE APPROXIMATE EQUATION FOR THE VECTOR OF FINITE ROTATION OF A RIGID BODY AND CONSTRUCTION THE ALGORITHM FOR DETERMINING OF SINS ORIENTATION ON ITS BASIS A.V. Molodenkov, Ya.G. Sapunkov, T.V. Molodenkova On the basis of the obtained exact solution of approximate linear equation for the vector of fi nite rotation of a rigid body (valid for small rotation angles of a rigid body due to the quadratures the task is solved for determination of the quaternion orientation of a rigid body with an arbitrary angular velocity and small angle of rotation of the rigid body. Proceeding from this solution, the approach to the construction of a new algorithm for computation of SINS orientation is proposed. Key words: quaternion, orientation, angular velocity, fi nite rotation vector, rigid body, strapdown inertial navigation system (SINS). Contacts: E-mail: iptmuran@san.ru Pp. 06-13.