In this chapter, we present the new model of the quantum field theory
of gravitation which is, by now, properly included into the Lagrangian density of
quantum electrodynamics. In this model of QED plus gravity, Dirac fields couple to
the electromagnetic field Aμ as well as the gravitational field G. The gravity appears
in the mass term as m(1 + gG)ψψ with the coupling constant of g, thus keeping the
local gauge invariance of the total Lagrangian of QED plus gravity. Here, after a
brief review of the new gravity model, we present the discussion of applying the new
gravity model to the time shifts of various kinds of planet motions.
Keywords: gravity, Dirac equation for gravity, time shifts of Mercury, time shifts of
earth motion, time shitts of GPS, general relativity, time shifts of comets.