  The evidence of gravitational wave was first indirectly confirmed by the
orbital period loss of Hulse-Taylor binary system which agrees well with the
Einstein's general relativistic prediction. The perihelion precession of
planets, gravitational light bending and Shapiro time delay are other tests of
Einstein's general theory of relativity. However there are small uncertainties
in the measurements of those observations from the general relativistic
prediction. To account those uncertainties, we propose radiation of ultralight
axions and vector gauge boson particles in the context of $U(1)^\prime$
extended beyond standard model scenario. We obtain constraints on ultralight
axion parameters (axion mass and decay constant) from the observational
uncertainties of orbital period loss of compact binary systems, gravitational
light bending, Shapiro time delay and birefringence phenomena. We also obtain
the bounds on ultralight $U(1)_{L_\mu-L_\tau}$ gauge bosons from the orbital
period loss of compact binary systems. The uncertainties in the perihelion
precession of planets also put bounds on the $U(1)_{L_e-L_{\mu,\tau}}$ light
gauge bosons. These light particles can be promising candidates of fuzzy dark
matter which can be probed from the above precision measurements.
