Regularization of the two-body problem via smoothing the potential

DOI10.3934/cpaa.2003.2.323zbMath1140.70462OpenAlexW2030573075MaRDI QIDQ1424066

Giovanni Bellettini, Giovanni Federico Gronchi, Giorgio Fusco

Publication date: 8 March 2004

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2003.2.323

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Two-body problems (70F05) Collisions in celestial mechanics, regularization (70F16)

Related Items (5)

Singular dynamics under a weak potential on a sphere ⋮ Topologically distinct collision-free periodic solutions for the \({N}\)-center problem ⋮ Smoothed dynamics in the central field problem ⋮ A study of the apsidal angle and a proof of monotonicity in the logarithmic potential case ⋮ The monotonicity of the apsidal angle in power-law potential systems

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