スピン衛星における涙滴形タンク系内の液体位置決定問題

概要

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The equilibrium position of liquid in a tear-drop tank system is determined for the case in which fairly large displacement of the center of gravity is caused by the detachment of objects from a satellite. A double-loop iteration algorithm is applied to determine the unknown center of gravity under the prescribed total liquid mass. To calculate the mass, inertia tensors and center of gravity of the liquid, volume integration throughout the liquid domain surrounded by conical and spherical tank walls and parabolic liquid surfaces in the tanks is performed accurately by using partial spherical coordinates. The numerical results show that some of the tanks become empty when the total liquid mass is smaller than a certain critical value and that tilt of the principal inertia axis is maximum at the critical condition. A method for decreasing the critical liquid mass and the tilt of the principal inertia axis is presented.
一般社団法人日本機械学会の論文
1995-05-25