Craig Markwardt wrote:
"GSS" writes:
...
DNu_mod/Nu_0 = 2 v_mod/c ..... (4)
And
2 v_obs/c = DNu_obs/Nu_0 ..... (5)
...

It has been mentioned in the above quoted reference that *all
relativistic corrections* have been incorporated in the model. In this
regard kindly give your opinion whether it is possible that the so
called relativistic corrections themselves could be the source of the
Anomalous effect??

No. Switching from relativistic to classical physics only worsens the
solution, not improves.

Has this been tried out? If so by whom and what is the quantitative
difference in the Anomalous effect?

From the above quoted reference [arXiv:gr-qc/0104064 v5] it appears
that the Relativity corrections have been used both for improving
accuracy of the model and to use such an improved model for testing the
Relativity Theories. Quoting from pages 12 and 14 of this reference -

"Responding to the increasing demand of the navigational accuracy, the
gravitational field in the solar system is modeled to include a number
of relativistic effects that are predicted by the different metric
theories of gravity. Thus, within the accuracy of modern experimental
techniques, the parameterized post-Newtonian (PPN) approximation of
modern theories of gravity provides a useful starting point not only
for testing these predictions, but also for describing the motion of
selfgravitating bodies and test particles."

"Indeed, this dynamical model has been good enough to perform tests of
general relativity."

Doesn't it appear to be fundamentally illogical to first use Relativity
to perfect the model and then to use that model to test Relativity. If
the Relativity does need to be tested then why use it till its
clearance through authentic testing?

And is it also possible that some theoretical error in the Doppler
relations (4) and (5) could lead to the observed Anomalous effect?

Relations 4 and 5 are inexact representations of the Doppler shift.
The exact relativistic formulation improves the solution.

Craig

Kindly provide the ' exact relativistic formulation ' in place of
relations (4) and (5) or atleast provide a reference for the same.

GSS