English

Block regularisation of the logarithm central problem

Mathematical Physics 2023-06-30 v2 math.MP

Abstract

The logarithm function is the gravitational potential in R2\mathbb{R}^2. We prove that the logarithm central force problem is block regularizable, that is, the (incomplete) flow may be continuously extended over the singularity at the origin after an appropriate re-parametrization.

Cite

@article{arxiv.2302.12181,
  title  = {Block regularisation of the logarithm central problem},
  author = {Archishman Saha and Cristina Stoica},
  journal= {arXiv preprint arXiv:2302.12181},
  year   = {2023}
}
R2 v1 2026-06-28T08:48:09.419Z