Study Chaotic Behavior of a 3 Body Systems:Simple Application to Earth-Sun-Moon like System

摘要

It is well known that three-body systems, in general will exhibit chaotic behavior. In this work, we study the case of the simple restricted planar three-body problem, and its application to the Earth-Sun-Moon like system. Earth-like and Moon-like have a small mass relative to the Sun-like object. The Moon-like is affected both centrifugal and Coriolis forces, and it would not be able to escape from the Hill disc. The trajectories of the Moon-like was viewed in a rotating frame which fixes the two more massive bodies Sun-like and Earth-like, so able reduced to a simple two-degrees of freedom system. It is possible to construct a more generalized model for investigation the chaotic behavior of tide forces on Earth also discussed.