Fiberwise Convexity of Hill's lunar problem

2014/11/27 by Lee Junyoung, Junyoung, Lee
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #FOS: Mathematics #Geometric Analysis and Curvature Flows #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1411.7573

openalex publication_date 2014/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, I prove the fiberwise convexity of the regularized Hill's lunar problem below the critical energy level. This allows us to see Hill's lunar problem of any energy level below the critical value as the Legendre transformation of geodesic problem on S² with a family of Finsler metric.

Citations

• Regularization of kepler's problem and the averaging method on a manifold

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