http://www.thunderbolts.info/tpod/2009/arch09/090827margins.htm Rest of article at link
Astronomers and astrophysicists are so keen to identify cold dark matter that almost any argument is accepted in the physics journals and the popular science media without apparent critical reasoning.
A recently published paper in the Journal of Physics A by Adler (2008) calculates the maximum amount of cold dark matter that must be present in the space between the Laser Geodynamics Satellites (LAGEOS) and the Moon’s orbit. Adler asserts that there is at most the equivalent to 4 x 10^-9 of Earth’s mass of dark matter in that volume (2.4 x 10^16 kilograms).
This scientific journal article was reported on the Scientific American and the American Scientist websites, among others. Unfortunately, the writers and editors seem not to have read the original paper and were more concerned with sensational headlines about dark matter than responsible science reporting. Still worse, the editor of the Journal of Physics A didn’t seem to pay much attention to the paper.
What Adler does is deceptively straightforward. He uses published measurements for the gravitational parameter (GM in units of kg^3/s^2, the product of the gravitational constant G and the object’s mass) for the Earth alone, the Moon alone, and the Earth and Moon combined. After subtracting the values for the Earth alone and the Moon alone from the value of the two combined, what is left must be dark matter.
Adler's value for the combined GM parameter is 403503.2357 ± 0.0014. His value for the Earth alone is 398600.4356 ± 0.0008, and his value for the Moon alone is 4902.8000 ± 0.0003. Each of these gravitational parameters is derived using a different method with different sets of assumptions, and are then "tweaked" in different ways (with implicit assumptions) before the final calculations. In the end, Adler finds the GM for dark matter to be 0.0001±0.0016. By dividing this value by the GM for the Earth, the result is a ratio of (0.3 ± 4) x 10^-9. Based on that result, he asserts that there must be a mass of dark matter less than 4 x 10^-9 times that of the Earth in that volume of space (G assumed to be a constant).