  We specify the four kinds of rotational cosmologies that are avaliable in
Theoretical Cosmology. NASA spacecrafts has suffered from three anomalies. The
Pioneers spacecrafts were decelerated, and their spin when not disturbed, was
declining. On the other hand, fly-bys for gravity assists, appeared with extra
speeds, relative to infinity. The Pioneers and fly-by anomalies are given now
exact general relativistic full general solutions, in a rotating expanding
Universe.We cite new evidence on the rotation of the Universe. Our solution
seems to be the only one that solves the three anomalies.
