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Analytical derivation shows maximum offset of binary neutron star mergers ejected from galaxies, suggesting impact on host associations.
We analytically derive, and illustrate with a population synthesis model, the maximum offset of binary neutron star mergers ejected from their host galaxies. This approximate maximum offset is 300 kpc ×\ (vₑsc / 500\ km\ s⁻¹)⁻⁷, where vₑsc is the escape velocity from the host galaxy. Massive hosts with high escape velocities are unlikely to yield very large offsets. This maximum offset should inform the host associations of mergers that are not coincident with galaxies. We also discuss potential correlations between offsets and system masses, and possibly the duration of the gamma-ray burst accompanying the merger.
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Mandel et al. (2025) studied this question.
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