## A matrix method for studying motions of spacecraft consisting of interconnected rigid bodies |

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algebraic substitution angular accelerations angular momentum equation angular velocity antisymmetric matrix auxiliary panels axes axis of rotation body j relative body system calculated center of mass Cj representation column vectors components configuration Consider coordinate frame fixed coordinates and velocity defined denotes dimensionless Dirac notation dynamical system equal equation 20 equation for body equation set A(i,j equations of motion fixed in body forces and torques four wings identity matrix inertia matrix inertial space initial conditions interaction force interaction torque interconnected rigid bodies Kronecker delta Langley Research Center Lcj(ij linear main panels mass of body matrix inversion matrix notation Moment-of-inertia matrix motion of body newton-meters orthogonal Pcjj point of body projection matrix reference point relative angular Relative rotation relative to body rotate relative rotational constraints satellite set of equations shown in figure spin studied symmetrical deployment taken from appendix torque applied translational momentum equation vector equations velocity coordinates zero