Recent work by Damour, Piazza and Veneziano (2002a, 2002b) suggests that the universality of free fall (hence the equivalence principle) might be violated near =a/a~1012. The prediction refers to pairs of test masses made of Cu and Be or Pt and Ti. The present experimental limit for Cu and Be is (Be,Cu)=(1.9±2.5)·1012 (Su et al., 1994). In Baeßler et al. (1999) the differential acceleration between test masses in the gravitational field of the Sun (a0.6 cm s2) has a 1 statistical uncertainty a=5.6·1013 cm s2, hence a/a~1012. However, since this experiment compares accelerations of "earth's core" and "moon/mantle" like test bodies, the composition-dependent acceleration aCD of the Earth and Moon towards the Sun is smaller than a because only a fraction of their mass is contained in their cores and mantles. The authors conclude that aCD/a=(+0.1±2.7±1.7)·1013.