  We deduce from Poincare's ellipsoidal wavefronts a relativistic
Doppler-Fizeau formula that is not the same as 1905 Einstein's one.
Longitudinally, Einstein's formula and Poincare's formula are the same. The
question of an experimental test is connected with the possibility or the
impossibility of directly measuring the relativistic transverse effect.
Hasselkamp's 1978 experiment becomes a crucial experiment because Poincare's
relativistic kinematics predicts an expansion of sapce directly connected with
the Doppler-Fizeau effect for the remote objects.
