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2013
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# Seongchan Kim

Universitätsstrasse 14, 86159 Augsburg
University of Augsburg

## Publications:

 Kim S. On a Convex Embedding of the Euler Problem of Two Fixed Centers 2018, vol. 23, no. 3, pp.  304-324 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 Citation: Kim S.,  On a Convex Embedding of the Euler Problem of Two Fixed Centers, Regular and Chaotic Dynamics, 2018, vol. 23, no. 3, pp. 304-324 DOI:10.1134/S1560354718030061