On Dec 24, 11:08 pm, Roland PJ wrote:
On Dec 24, 6:07 pm, Roland PJ wrote:

The Pioneer Spacecraft have shown an anomalous acceleration towards the
Sun of ~8 x 10^-16 m/s^2.

Pioneer 10 and Pioneer 11 were traveling at about 1.22 x 10^4 m/s and
1.16 x 10^4 m/s away from the Sun at the end of their lifetimes.

Now, the Pioneers will have experienced time dilation in the correct
direction (blue-shift for us on earth) as they escape the gravitational
well of the Sun, as follows:

Actually not with the observed Pioneer signal shift. Seehttp://arxiv.org/abs/gr-qc/0208046

He uses only phase-locked echo-ing of a signal by the Pioneer craft,
with a constant frequency-shift ration between receiver and
transmitter.

This (almost) eliminates any interference of relative time-dilation,
since the signal travels in both directions.

So why didn't y'all just say so in the first place

Maybe your 1st idea was embryotic, never
know where some nudging will take you.
Maybe "speed of gravity" might relate to
that.

Roland

Regards
Ken S. Tucker