Homoclinic orbits in the Euler problem of two fixed centers
Seongchan Kim
TL;DR
This paper provides a comprehensive analysis of all homoclinic orbits in the Euler problem of two fixed centers, detailing their shapes and behaviors.
Contribution
It offers a complete classification and description of homoclinic orbits in this classical celestial mechanics problem.
Findings
Complete characterization of homoclinic orbit shapes
Detailed behavior analysis of these orbits
Classification framework for orbits in the Euler problem
Abstract
We give a complete description of the shapes and the behavior of all homoclinic orbits in the Euler problem of two fixed centers.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Mathematics and Applications · Advanced Differential Geometry Research