The motion of a system of coaxial bodies of variable mass

The motion of a mechanical system of coaxial axisymmetrical bodies of variable mass in a translating system of coordinates is considered. A theorem on the change in the angular momentum of a system of coaxial bodies of variable mass with respect to translating axes is given. The dynamic equations of motion are constructed using the example of two coaxial bodies. Assuming that the relative displacements of the centre of mass, due to a change in the mass of the system, are small, approximate solutions are found for the spatial orientation angles and the condition for reducing the amplitude of nutational oscillations. The results obtained can be used to describe the motion of spacecraft, constructed in coaxial form, when performing active manoeuvres with a change in mass. (c) 2005 Elsevier Ltd. All rights reserved.