| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8898595 | Journal of Differential Equations | 2018 | 9 Pages |
Abstract
We prove the non-integrability of the spacial n-center problem. In order to prove it, we focus on the singularity of the differential equations extended to the complex space and then apply the Morales-Ramis theory to it. We also show the non-integrability of the spacial restricted n+1-body problem.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Mitsuru Shibayama,