High-precision space astrometry of gamma-ray bursts

The principles of high-accuracy triangulation determination of coordinates of gamma-ray bursts are considered, and an algorithm for three-spacecraft m easurements is suggested. The general relativity equations are used to desc ribe the four-dimensional transformation of conversions between barycentric , geocentric, and instrumental coordinate systems. Various mutual locations of spacecraft are analyzed. The measurement error for time lags of a gamma -ray burst signal for different spacecraft is estimated, depending on the p arameters of both the burst and the detector. This allowed us to estimate t he maximum achievable accuracy of the triangulation method when measuring c oordinates of gamma-ray bursts.