Measuring Time of Flight Using Satellite-Based Clocks

Abstract

Considering the OPERA neutrino-velocity measurement from the point of view of a GPS satellite we find that the detector at Gran Sasso has a velocity component in the order of $10^{-5}c$ towards the neutrino emission location at CERN. On GPS-receivers this translates into first-order Doppler terms, therefore a correction is required for, among other things, this ephemeris-and-location-dependent relativistic effect. To ensure correct time-of-flight measurements using satellite-based clocks we propose to extend their calibration procedures with an explicit check on these relativistic corrections.

8 pages; Version 4; Derivation of anomaly size is rewritten to put it in line with modern presentations of special relativity. The calibration reports and methods of the OPERA collaboration have been reviewed to see whether the necessary corrections were accounted for

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