A minimalist analytic extension shows spin-kick alignment in the tug-boat mechanism arises either from fast rotation averaging out perpendicular asymmetries or from spin-aligned mass flux, but the former requires unrealistically high rotation unless magnetic angular-momentum transport is efficient.
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Effects of Rotation on the Gravitational Tug-Boat Mechanism for Neutron-Star Kicks and Implications for Spin-Kick Alignment
A minimalist analytic extension shows spin-kick alignment in the tug-boat mechanism arises either from fast rotation averaging out perpendicular asymmetries or from spin-aligned mass flux, but the former requires unrealistically high rotation unless magnetic angular-momentum transport is efficient.