About ideal relative motions of rigid heavy body

摘要

Consider an origin which is fixed at the Earth’s surface, and a rectangular celestial coordinates axes with this origin. The gravity acceleration is the approximate sum of the centrifugal acceleration of the origin relatively to the Earth’s center and the Newton’s gravitational acceleration due to the Earth’s attraction. Thus the selected reference frame is formally an inertial frame. The origin is also a point of a rigid heavy body. The dynamical differential system of absolute motion of the three degrees-of- freedom body is given. Some notable solutions of this system are calculated relatively to a moving laboratory frame with the angular velocity of the Earth.