  We compute the red and blue shifts for astrophysical and cosmological
sources. In particular, we consider low, intermediate and high gravitational
energy domains. Thereby, we handle the binary system Earth - Mars as low energy
landscape whereas white dwarfs and neutron stars as higher energy sources. To
this end, we take into account a spherical Schwarzschild - de Sitter spacetime
and an axially symmetric Zipoy - Voorhees metric to model all the
aforementioned systems. Feasible outcomes come from modelling neutron stars and
white dwarfs with the Zipoy - Voorhees metric, where quadrupole effects are
relevant, and framing solar system objects using a Schwarzschild - de Sitter
spacetime. In the first case, large $\delta$ parameters seem to be favorite,
leading to acceptable bounds mainly for neutron stars. In the second case, we
demonstrate incompatible red and blue shifts with respect to lunar and
satellite laser ranging expectations, once the cosmological constant is taken
to Planck satellite's best fit. To heal this issue, we suggest coarse-grained
experimental setups and propose Phobos for working out satellite laser ranging
in order to get more suitable red and blue shift intervals, possibly more
compatible than current experimental bounds. Implications to cosmological
tensions are also debated.
