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This article is cited in 2 scientific papers (total in 2 papers)
On a Convex Embedding of the Euler Problem of Two Fixed Centers
Seongchan Kim Mathematisches Institut, Universität Augsburg, Universitätsstrasse 14, Augsburg, 86159 Germany
Abstract:
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.
Keywords:
convex embedding, global surface of section, Euler problem of two fixed centers.
Received: 16.10.2017 Accepted: 31.01.2018
Citation:
Seongchan Kim, “On a Convex Embedding of the Euler Problem of Two Fixed Centers”, Regul. Chaotic Dyn., 23:3 (2018), 304–324
Linking options:
https://www.mathnet.ru/eng/rcd325 https://www.mathnet.ru/eng/rcd/v23/i3/p304
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Abstract page: | 135 | References: | 23 |
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