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Block regularisation of the logarithm central problem

Saha, Archishman et al.
arXiv (All) · Papers
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chaotic-dynamicsmathematical-physics
The logarithm function is the gravitational potential in $\mathbb{R}^2$. 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.
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