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arXiv · 2601.07500

Merger Dynamics of N+N Co-planar Particles in Newton Gravitation

Qi Su·Baicheng Zhang·Ding-Fang Zeng
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Abstract

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.

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Qi Su, Baicheng Zhang, Ding-Fang Zeng. 2026-01-12. Merger Dynamics of N+N Co-planar Particles in Newton Gravitation. https://doi.org/10.1088/1572-9494%2Fae3689

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