Relativistic treatment of periodic orbits of collision in circular restricted problem of three bodies in a three-dimensional coordinate system (Q1965346)

The authors examine the motion of an infinitesimal mass (planetoid) in the gravitational field of Sun and Earth. The famous mass-energy equivalence principle of Einstein is the basis of the present work. The purpose is to demonstrate the existence of periodic orbits and orbits of collision when the Earth is massive. The circular restricted three-body problem is treated in a three-dimensional coordinate system. The presentation of equations of motion in general and then in canonical form is followed by a detailed discussion on the orbits.