rdsaam

I numerically duplicated (digitized) the methodology in Turyshev report 1204.2507
It is concluded with RMS analysis,
that Pioneer deceleration decays to a constant deceleration rather than zero
analogous of an object passing through a fluid decelerating with Stokes' law.

Aa. time (years after launch)(after AU to time conversion)
Bb. electric contribution to aPelecx10^-10 m/s^2
n = .406 half life 24.5 years regressing Table 1, 1204.2507
aPelec = 7.75E-10*EXP(-LN(2)*time/24.5)
Cc. RTG contribution to aPrtgx10^-10 m/s^2
n = 0.0104 half life 87.72 years (Plutonium)
aPrtg = 3.71E-10*EXP(-LN(2)*time/87.72)
Dd. or Bb + Cc Total contribution to aPx10^-10 m/s^2
Ee. Doppler measured aPx10^-10 m/s^2

Scenario one
Aa Bb Cc Dd Ee
8.79 6.05 3.46 9.51 9.82
10.78 5.71 3.41 9.12 9.33
12.79 5.40 3.35 8.75 8.78
14.82 5.10 3.30 8.40 8.21
16.81 4.82 3.25 8.07 8.21
18.80 4.56 3.20 7.75 7.39
20.81 4.30 3.15 7.45 7.34
22.82 4.07 3.10 7.17 7.23
24.85 3.84 3.05 6.89 7.72
Dd-Ee has RMS = .34

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Statistical analysis of fin root temperatures
http://arxiv.org/abs/gr-qc/0512121 Figure 20
indicate temperature(T) half life of 130 years
This translates into power half life ~emissivity*T^4
or 130/4 or 32.5 years. This is not reflected
in reported RTG power performance.
Radiation flux during Pioneer 18 Jupiter flyby
(10,000 times that of Earth)
did not cause differential RTG emissivity.
http://arxiv.org/abs/gr-qc/0104064 C
does not provide any further mechanistic origin of Cc
and none presented in 1204.2507
Assuming RTG contribution(Cc) is replaced by
a constant(Ff) the electric(Bb) + constant(Ff) or Gg
yields RMS = .33 (equal to scenario one .34)
when compared to doppler(Ee)

Scenario two
Aa Bb Ff Gg Ee
8.79 6.05 3.33 9.38 9.82
10.78 5.71 3.33 9.04 9.33
12.79 5.40 3.33 8.73 8.78
14.82 5.10 3.33 8.43 8.21
16.81 4.82 3.33 8.15 8.21
18.80 4.56 3.33 7.89 7.39
20.81 4.30 3.33 7.63 7.34
22.82 4.07 3.33 7.40 7.23
24.85 3.84 3.33 7.17 7.72
Gg-Ee has RMS = .33

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A more detailed model Hh
minimizing RMS at .27
(the best available fit)
assumes aP approaching a constant 5.9
aP = (12.587-5.9)*EXP(-.068*time)+5.9

Scenario three
Aa Hh Ee
8.79 9.60 9.82
10.78 9.14 9.33
12.79 8.74 8.78
14.82 8.39 8.21
16.81 8.09 8.21
18.80 7.83 7.39
20.81 7.60 7.34
22.82 7.40 7.23
24.85 7.23 7.72
Hh-Ee has RMS = .27

There is statistical logic
within the context of 1204.2507 and historical Pioneer reports
for a constant aP contribution.

Richard D. Saam