  Using the model based on the Regge-like laws, new analytical formulas are
obtained for the moment of inertia, the rotation frequency, and the radius of
astronomical non-exotic objects (planets, stars, galaxies, and clusters of
galaxies). The rotation frequency and moment of inertia of neutron star and the
observable Universe are estimated. The estimates of the average numbers of
stars and galaxies in the observable Universe are given. The Darwin instability
effect in the binary systems (di-planets, di-stars, and di-galaxies) is also
analyzed.
