Szczepan Bialek wrote:
Uh.. no.. you have a theory or question, but aren't willing or able to do
the work (or find someone else to do the work) to actual resolve the
issue.

Yes. I am not able.
But here is nothing to do. Some people know the Doppler effects components:
"the Doppler has several components: one from the rotation of Earth, one
from the rotation of Mars (for a surface asset), and one from the relative
motion of Mars and Earth"

I am looking for information about relative motion of "Mars and Earth" and
"Earth and Pioneer".

You sound like the man in the street who claims that "the theory of
relativity is wrong".
But in your case you don't even refer to something as complex as
relativity but as simple as doppler shift.

There are existing formulas that allow you to calculate the doppler
shift when knowing the speed of the items, and the measured results
confirm what you calculate. So why do you keep questioning it?

When you have found an old article that does not agree with what is
measured today, why do you keep insisting that the old article is
correct and suggeest the theory is wrong, when you don't have the
capability to back that up with proofs that you present yourself?
Isn't it better to assume that the measurements in the old article were
not correct?