重力を介した衛星の回転と軌道運動のエネルギ遷移

概要

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We discuss the mechanism of energy transfer between rotation and revolution of a satellite through the gravity gradient. We assume the earth to be a homogeneous sphere and regard the satellite as an ellipsoid of inertia, not point mass. On the condition, the satellite experiences not only the gravitational force acting on the point mass at the center of mass, but also the force and torque due to the gravity gradient. In addition to the rotational energy and the orbital energy, the satellite has the potential energy generated by the gravity gradient, which performs the energy transfer. Utilizing the principle, we derive the optimal attitude of the satellite for raising the orbital energy. Additional energy is supplied to the rotation by the attitude control and transfers to the orbital motion through the mechanism. Fainally, we numerically examine the effect of the proposed method to raise the orbital energy by attitude motion.
社団法人日本航空宇宙学会の論文
2001-03-05