#### F. Cardone, R. Mignani

### Abstract

We carry out a detailed analysis of the data on the comparison of clock rates between a ﬂying clock and a clock at ground, performed by Alley and co-workers at the end of 1970’s.

The fit to such data is in favor of an energy-dependent metric for gravitation, whose time coefficient is at variance with the standard Einsteinian one in the weak-ﬁeld approximation.

By exploiting the formalism of a deformed Minkowski space-time, with metric coefficients dependent on the energy, we show that a possible lower limit on the propagation speed of gravitational effects is about 10^{10}c, in agreement with a recent analysis by Van Flandern based on the acceleration of binary systems.

© World Scientiﬁc Publishing Company

International Journal of Modern Physics A, 14, 24, 3799 (1999)