sentences:  This solution has numerous applications, such as the orbit of a small planet about two fixed stars under the influence of Newtonian gravity.The Liouville dynamical system is one of several things named after Joseph Liouville, an eminent French mathematician.In classical mechanics, Euler's three-body problem describes the motion of a particle in a plane under the influence of two fixed centers, each of which attract the particle with an inverse-square force such as Newtonian gravity or Coulomb's law.