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In this paper we apply the concept of radar time (popularised by Bondi in hiswork on k-calculus) to the well-known relativistic twin `paradox'. Radar timeis used to define hypersurfaces of simultaneity for a class of travellingtwins, from the `Immediate Turn-around' case, through the `Gradual Turn-around'case, to the `Uniformly Accelerating' case. We show that this definition ofsimultaneity is independent of choice of coordinates, and assigns a unique timeto any event (with which the travelling twin can send and receive signals),resolving some common misconceptions.Comment: 9 pages, 10 figures. Minor changes (includes minor corrections not in  published version

On radar time and the twin “paradox”