This paper is aimed at presenting solution algorithms to the inverse kinema
tics of a space manipulator mounted on a free-floating spacecraft. The reac
tion effects of the manipulator's motion on the spacecraft are taken into a
ccount by means of the so-called generalized Jacobian. Redundancy of the sy
stem with respect to the number of task variables for spacecraft attitude a
nd manipulator end-effector pose is considered. Also, the problem of both s
pacecraft attitude and end-effector orientation representation is tackled b
y means of a non-minimal singularity-free representation: the unit quaterni
on. Depending on the nature of the task for the spacecraft/manipulator syst
em, a number of closed-loop inverse kinematics algorithms are proposed. Cas
e studies are developed for a system of a spacecraft with a six-joint manip
ulator attached.