Positioning in a flat two-dimensional space-time

Departament d'Astronomia i Astrofísica, Universitat de València, 46100 Burjassot, València, Spain

Abstract

The basic theory on relativistic positioning systems in a two-dimensional space-time and the analysis of the possibility of making relativistic gravimetry with these systems have been presented elsewhere [Phys. Rev. D 73, 084017 (2006); Phys. Rev. D 74, 104003 (2006)]. Here we summarize these results and we outline new issues on the relativistic positioning systems in Minkowski plane. We point out that the accelerations of the emitters and of the user along their trajectories are determined by the sole knowledge of the emitter positioning data and of the acceleration of only one of the emitters and only during a light echo interval.