What is it about?

The restricted three-body problem is a classical nonlinear system. We propose a coupling-induced bifurcation mechanism that reveals for the first time how bifurcations in dynamic systems arise: the interactions between different degrees of freedom lead to the occurrence of bifurcations. For example, during the evolution from apes to humans, the hands bifurcated from symmetric to predominantly right-handed asymmetry. This bifurcation process was caused by the mutual coordination between different individuals in the human species.

Featured Image

Why is it important?

Any dynamical system with a certain symmetry may undergo a pitchfork bifurcation, i.e., symmetry breaking. The bifurcation mechanism we propose can be used to explain bifurcation phenomena in various systems, which is crucial for understanding the dynamics of complex systems.

Perspectives

This work provides a novel perspective on the generation mechanism of halo and quasihalo orbits in the restricted three-body problem. The proposed concept of the coupling coefficient quantitatively describes the bifurcated solutions emerging from the original solution. The bifurcation equation transforms the bifurcation analysis of dynamic solutions into solving polynomial equations with coupling coefficient. These concepts offer a more effective tool for understanding orbital bifurcation phenomena.

Dr. Mingpei Lin
Tohoku University

Read the Original

This page is a summary of: Bifurcation Mechanism of Quasi-Halo Orbit from Lissajous Orbit, Journal of Guidance Control and Dynamics, September 2024, American Institute of Aeronautics and Astronautics (AIAA),
DOI: 10.2514/1.g008233.
You can read the full text:

Read

Contributors

The following have contributed to this page