borman

2015-May-10, 04:11 AM

What is sourcing the local G dot?

While the product GM is reliable to 9 decimals, measuring Big G to high accuracy has been a challenge. The variation between measurements has been wider than expected and thought to be due to some unknown systematic.

Recently, Anderson et al [1] looked at a collection of measurements and found the variation followed a sine curve with a period of about 5.9 years which matched the frequency of the LOD (Length of Day) oscillation mystery. They do not suggest that G actually varies at this frequency other than to suggest there be a connection between LOD and G where both suffer from the same cause.

To check if the variation of G dot was solar system wide, Iorio checked to see if such a 5.9 year cycle was present in the Saturn system. He did not find it and it would have been big enough to notice if it were the case at Saturn.

More recently, Schlamminger et al [3] looked at a larger data set of over 35 years. While the correlation is somewhat weaker, it still fits the Anderson hypothesis. It is something of a puzzle: “The situation is disturbing — clearly either some strange influence is affecting most G measurements or, probably more likely, measurements of G since 1980 have unrecognized large systematic errors.”

Klein [4] submitted a paper only three days after Anderson et al which did not cite them or indicated that there was an awareness of the sine. To try to reconcile the differences between two recent results, he appealed to a modified version of MOND. Whether this works for the larger set of Schlamminger et al needs to be researched further.

Since Anderson has been involved with other anomalies such as the Pioneer Anomaly and the flyby anomaly [5] during Earth flybys, it seems of interest to look at the data points of the flybys to see what they might say about the correlation. It is quite serendipitous that the dates of the flybys that showed an anomaly often aligned at the inflection points of the sine curve, a little under three years between the high and low peaks. When the expected anomalies did not show up for Rosetta II and III for the Anderson equation [6], the craft were not at an inflection point. While one should not attribute too much significance to 8 data points, (Juno data point not included), it may be a hint that an additional parameter is needed, say for example, a dot product associated with the inflection points that makes Rosetta II and III vanish. The Anderson equation deals with the Earth axis which relates to the ecliptic. The Adler idea [7] should be reviewed with regard to a possible Dark Matter effect interaction that might source the excess watts per square meter for all planets except Uranus which is as cold as it is supposed to be. The Adler idea was that the collision that turned Uranus on its side knocked it clear of its associated dark matter. The additional possibility here is that the near 90 degree shift leads to a zero dot product and therefore no excess watts.

References

[1] Measurements of Newton's gravitational constant and the length of day

http://arxiv.org/abs/1504.06604v1

[2] Does the Newton's gravitational constant vary sinusoidally with time? An independent test with planetary orbital motions

http://arxiv.org/abs/1504.07233

[3] Recent measurements of the gravitational constant as a function of time

http://arxiv.org/abs/1505.01774

[4] Analysis of recent G experiments by a differential version of MOND theory

http://arxiv.org/abs/1504.07622

[5] http://en.wikipedia.org/wiki/Flyby_anomaly

[6] Anomalous Orbital-Energy Changes Observed during Spacecraft Flybys of Earth

http://virgo.lal.in2p3.fr/NPAC/relativite_fichiers/anderson_2.pdf

[7] Solar System Dark Matter

http://arxiv.org/abs/0903.4879

While the product GM is reliable to 9 decimals, measuring Big G to high accuracy has been a challenge. The variation between measurements has been wider than expected and thought to be due to some unknown systematic.

Recently, Anderson et al [1] looked at a collection of measurements and found the variation followed a sine curve with a period of about 5.9 years which matched the frequency of the LOD (Length of Day) oscillation mystery. They do not suggest that G actually varies at this frequency other than to suggest there be a connection between LOD and G where both suffer from the same cause.

To check if the variation of G dot was solar system wide, Iorio checked to see if such a 5.9 year cycle was present in the Saturn system. He did not find it and it would have been big enough to notice if it were the case at Saturn.

More recently, Schlamminger et al [3] looked at a larger data set of over 35 years. While the correlation is somewhat weaker, it still fits the Anderson hypothesis. It is something of a puzzle: “The situation is disturbing — clearly either some strange influence is affecting most G measurements or, probably more likely, measurements of G since 1980 have unrecognized large systematic errors.”

Klein [4] submitted a paper only three days after Anderson et al which did not cite them or indicated that there was an awareness of the sine. To try to reconcile the differences between two recent results, he appealed to a modified version of MOND. Whether this works for the larger set of Schlamminger et al needs to be researched further.

Since Anderson has been involved with other anomalies such as the Pioneer Anomaly and the flyby anomaly [5] during Earth flybys, it seems of interest to look at the data points of the flybys to see what they might say about the correlation. It is quite serendipitous that the dates of the flybys that showed an anomaly often aligned at the inflection points of the sine curve, a little under three years between the high and low peaks. When the expected anomalies did not show up for Rosetta II and III for the Anderson equation [6], the craft were not at an inflection point. While one should not attribute too much significance to 8 data points, (Juno data point not included), it may be a hint that an additional parameter is needed, say for example, a dot product associated with the inflection points that makes Rosetta II and III vanish. The Anderson equation deals with the Earth axis which relates to the ecliptic. The Adler idea [7] should be reviewed with regard to a possible Dark Matter effect interaction that might source the excess watts per square meter for all planets except Uranus which is as cold as it is supposed to be. The Adler idea was that the collision that turned Uranus on its side knocked it clear of its associated dark matter. The additional possibility here is that the near 90 degree shift leads to a zero dot product and therefore no excess watts.

References

[1] Measurements of Newton's gravitational constant and the length of day

http://arxiv.org/abs/1504.06604v1

[2] Does the Newton's gravitational constant vary sinusoidally with time? An independent test with planetary orbital motions

http://arxiv.org/abs/1504.07233

[3] Recent measurements of the gravitational constant as a function of time

http://arxiv.org/abs/1505.01774

[4] Analysis of recent G experiments by a differential version of MOND theory

http://arxiv.org/abs/1504.07622

[5] http://en.wikipedia.org/wiki/Flyby_anomaly

[6] Anomalous Orbital-Energy Changes Observed during Spacecraft Flybys of Earth

http://virgo.lal.in2p3.fr/NPAC/relativite_fichiers/anderson_2.pdf

[7] Solar System Dark Matter

http://arxiv.org/abs/0903.4879