## A three-dimensional analysis of a tangential yo-yo despin device on a rotating body |

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angular momentum vector angular rotation vector angular velocity vector APPENDIX axis of symmetry axis spin rate body axes computed cross-axis spin rate curves decrease despin process dimensional elements a^j equations 12 equations of motion Euler Euler equations form for various found in reference inertia factors inertia ratio inertial space initial conditions initial coning angle initial instant initial values Langley Research Center magnitude mass center matrix maximum value motion plotted NASA TN Newton's second law nondimensional angular velocity nondimensional cable tension nondimensional form nondimensional tension numerical integration obtain out-of-plane angle Parameters of motion parameters with ratio presented ratio K/l ratio of inertia required to despin residual tumbling rate rigid body motion single despin weight spinning angle Stretch Yo-Yo symmetric rigid body system kinetic energy TANGENTIAL YO-YO DESPIN unwind angle values of initial variables Variation of significant various values Weights and Cables x^-axis x3 axes YO-YO DESPIN DEVICE yo-yo despin system zero