On a convex embedding of the Euler problem of two fixed centers
- In this article, we study a convex embedding for the Euler problem of two fixed centers for energies below the critical energy level. We prove that the doubly-covered elliptic coordinates provide a 2-to-1 symplectic embedding such that the image of the bounded component near the lighter primary of the regularized Euler problem is convex for any energy below the critical Jacobi energy. This holds true if the two primaries have equal mass, but does not hold near the heavier body.
| Author: | Seongchan KimORCiD |
|---|---|
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/102364 |
| ISSN: | 1560-3547OPAC |
| ISSN: | 1468-4845OPAC |
| Parent Title (English): | Regular and Chaotic Dynamics |
| Publisher: | Pleiades |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2018 |
| Release Date: | 2023/02/28 |
| Tag: | Mathematics (miscellaneous) |
| Volume: | 23 |
| Issue: | 3 |
| First Page: | 304 |
| Last Page: | 324 |
| DOI: | https://doi.org/10.1134/s1560354718030061 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Analysis und Geometrie |
