Corpus ID: 233033446

Jacobi stability analysis of the classical restricted three body problem

@inproceedings{Blaga2021JacobiSA,
  title={Jacobi stability analysis of the classical restricted three body problem},
  author={Cristina Blaga and Paul A. Blaga and Tiberiu Harko},
  year={2021}
}
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

References

SHOWING 1-10 OF 10 REFERENCES
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
This book gives a systematic grounding in the theory of Hamiltonian differential equations from a dynamical systems point of view. It develops a solid foundation for students to read some of theExpand
Introduction to Hamiltonian Fluid Dynamics and Stability Theory
Introduction The Nonlinear Pendulum Model Formulation Canonical Hamiltonian Formulation Least Action Principle Symplectic Hamiltonian Formulation Mathematical Properties of the J Matrix PoissonExpand
The Geometry of Hamilton and Lagrange Spaces
Preface. 1. The geometry of tangent bundle. 2. Finsler spaces. 3. Lagrange spaces. 4. The geometry of cotangent bundle. 5. Hamilton spaces. 6. Cartan spaces. 7. The duality between Lagrange andExpand
An Introduction to Celestial Mechanics
THE appearance of Prof. Moulton's introductory treatise on dynamical astronomy in a second edition is a sufficient proof that the work, which was first published twelve years ago, has satisfied aExpand
Solar Physics
TLDR
I stated my belief that the spots were produced by the downward rush of, comparatively speaking, cool portions of gas which had been in the first instance ejected during these eruptions, and found that Mr. Lockyer had obtained independent evidence from his spectroscopic researches that these spots consisted of down-rushes of gas, and not, as some have supposed, of up-rusches. Expand
The theory of sprays and Finsler spaces with applications in physics and biology
Preface. 0. Introductory Geometrical Background. 1. Finsler Metrics. 2. Connections in Finsler Spaces. 3. Special Finsler Spaces. 4. Finslerian Physics. 5. Finslerian Biology. References. Index.
Introduction to Celestial Mechanics, Addison-Wesley
  • Kosambi D.D.: 1933 Math. Z.,
  • 2016
Methods of Celestial Mechanics