AN INVESTIGATION OF THE MOTION OF A CABLE CONNECTED DUMBBELL SPACE VEHICLE.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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The general equations of motion are derived for a flexible vehicle spinning out of the orbital plane, under the influence of a gravity gradient. The vehicle consists of two unequal point masses connected by a flexible cable of uniformly distributed mass. The transverse and axial vibrations of the cable are assumed decoupled. A Lagrangian for continuous and discrete systems is used to derive the partial differential - integral equations of motions. A separation of variables is used to express the transverse equations of motion in terms of natural modes and normal coordinates. A method for obtaining numerical results is presented. Author