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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.07500 |
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| _version_ | 1866908759819812864 |
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| author | Su, Qi Zhang, Baicheng Zeng, Ding-Fang |
| author_facet | Su, Qi Zhang, Baicheng Zeng, Ding-Fang |
| contents | We model the inspiral and merger dynamics of two co-planar rings in Newtonian mechanics with GR motivated corrections and illustrate their similarity with those of black hole binary systems on the orbital plane. Our simulation reveals a banana-shape deformation of the ``black holes'' involved, and a typhoon-like spiral structure in the merger product. Using an eXact One-Body approach, we compute the full gravitational waveform of this process and qualitatively reproduce results consistent with those of numerical relativity. Our simulation offers a transparent link between the feature of gravitational waveforms and the internal structure of black holes, thus a complementary interpretation of physics behind numerical relativity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07500 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Merger Dynamics of N+N Co-planar Particles in Newton Gravitation Su, Qi Zhang, Baicheng Zeng, Ding-Fang General Relativity and Quantum Cosmology We model the inspiral and merger dynamics of two co-planar rings in Newtonian mechanics with GR motivated corrections and illustrate their similarity with those of black hole binary systems on the orbital plane. Our simulation reveals a banana-shape deformation of the ``black holes'' involved, and a typhoon-like spiral structure in the merger product. Using an eXact One-Body approach, we compute the full gravitational waveform of this process and qualitatively reproduce results consistent with those of numerical relativity. Our simulation offers a transparent link between the feature of gravitational waveforms and the internal structure of black holes, thus a complementary interpretation of physics behind numerical relativity. |
| title | Merger Dynamics of N+N Co-planar Particles in Newton Gravitation |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2601.07500 |