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#:The "Pioneer anomaly" is the deviation in the motion of the Pioneer 10 and Pioneer 11 spacecraft from their predicted motion, at the distance of Saturn and beyond.  It should be noted that the anomaly is about 1000 times greater than the difference between the classical Newtonian prediction and the prediction of relativity, so this is not a problem with relativity ''per se''; it is more general than that.
 
#:The "Pioneer anomaly" is the deviation in the motion of the Pioneer 10 and Pioneer 11 spacecraft from their predicted motion, at the distance of Saturn and beyond.  It should be noted that the anomaly is about 1000 times greater than the difference between the classical Newtonian prediction and the prediction of relativity, so this is not a problem with relativity ''per se''; it is more general than that.
 
#:Calculating the force caused by heat (that is, miniscule amounts of infrared radiation) from the radioactive power source was one of the first effects that was examined.  The anomaly arose when this and other known effects could not fully explain the deviation.
 
#:Calculating the force caused by heat (that is, miniscule amounts of infrared radiation) from the radioactive power source was one of the first effects that was examined.  The anomaly arose when this and other known effects could not fully explain the deviation.
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#:The problem is believed to have been solved by taking into account the reflection of the radiation from the power source off of the back of the antenna dish<ref>http://www.technologyreview.com/blog/arxiv/26589/</ref>.  The solution is sometimes described as an application of "Phong shading", a technique of computer graphics that is now considered imprecise.  But Phong shading itself is not what is important.  The "ray tracing" computer graphics technique that underlies Phong shading was what inspired the scientists to take reflection into account.
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#:The problem is believed to have been solved by taking into account the reflection of the radiation from the power source off of the back of the antenna dish<ref>http://www.technologyreview.com/blog/arxiv/26589/</ref>.  The solution is sometimes described as an application of "Phong shading", a technique of computer graphics that is now considered imprecise.  But Phong shading itself is not what is important.  The "ray tracing" computer graphics technique that underlies Phong shading was what inspired the scientists to take reflection into account.<ref>[http://en.wikipedia.org/wiki/Pioneer_anomaly]</ref>
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#:<blockquote>The most detailed analysis to date, by some of the original investigators, explicitly looks at two methods of estimating thermal forces, then states "We find no statistically significant difference between the two estimates and conclude that once the thermal recoil force is properly accounted for, no anomalous acceleration remains."<ref name="thermal">{{cite journal|doi=10.1103/PhysRevLett.108.241101|title=Support for the Thermal Origin of the Pioneer Anomaly|year=2012|last1=Turyshev|first1=Slava G.|last2=Toth|first2=Viktor T.|last3=Kinsella|first3=Gary|last4=Lee|first4=Siu-Chun|last5=Lok|first5=Shing M.|last6=Ellis|first6=Jordan|journal=Physical Review Letters|volume=108|issue=24|arxiv = 1204.2507 |bibcode = 2012PhRvL.108x1101T|pmid=23004253|pages=241101}}</ref></blockquote> [http://en.wikipedia.org/wiki/Pioneer_anomaly]
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#:<blockquote>The most detailed analysis to date, by some of the original investigators, explicitly looks at two methods of estimating thermal forces, then states "We find no statistically significant difference between the two estimates and conclude that once the thermal recoil force is properly accounted for, no anomalous acceleration remains."<ref name="thermal">{{cite journal|doi=10.1103/PhysRevLett.108.241101|title=Support for the Thermal Origin of the Pioneer Anomaly|year=2012|last1=Turyshev|first1=Slava G.|last2=Toth|first2=Viktor T.|last3=Kinsella|first3=Gary|last4=Lee|first4=Siu-Chun|last5=Lok|first5=Shing M.|last6=Ellis|first6=Jordan|journal=Physical Review Letters|volume=108|issue=24|arxiv = 1204.2507 |bibcode = 2012PhRvL.108x1101T|pmid=23004253|pages=241101}}</ref></blockquote>
 
#''the solar flattening is ... too small to agree with that predicted from its surface rotation.''
 
#''the solar flattening is ... too small to agree with that predicted from its surface rotation.''
 
#:This observation is interesting, but the predictions of oblateness come from analysis of fluid mechanics; relativity is not involved, and the cited paper makes no mention of relativity.
 
#:This observation is interesting, but the predictions of oblateness come from analysis of fluid mechanics; relativity is not involved, and the cited paper makes no mention of relativity.
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