Corpus ID: 233033446

Jacobi stability analysis of the classical restricted three body problem

  title={Jacobi stability analysis of the classical restricted three body problem},
  author={Cristina Blaga and Paul A. Blaga and Tiberiu Harko},
The circular restricted three body problem, which considers the dynamics of an infinitesimal particle in the presence of the gravitational interaction with two massive bodies moving on circular orbits about their common center of mass, is a very useful model for investigating the behavior of real astronomical objects in the Solar System. In such a system, there are five Lagrangian equilibrium points, and one important characteristic of the motion is the existence of linearly stable equilibria… Expand


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