SUMMARY: The numerical analysis below is why I told
Quantum Quack, that his switch to the effect of the Great Attractor, GA, on global warming, instead of an in-Earth's internal gravitational instability, was (if it is possible) even more silly than the gravitational instability was.
Barnard's Star, BS, is tiny (0.144 solar masses) and only 5.98 light years from earth. -
http://en.wikipedia.org/wiki/Barnard's_Star
Thus in strange force units it is gravitationally pulling on the sun with force of 0.144/ (5.98)^2 = 0.00403 units.
The Andromeda Galaxy, AG, has mass of 1.5E12 greater than the sun and is 2.54E6 light years away from the sun -
http://en.wikipedia.org/wiki/Andromeda_Galaxy
So in these strange units it is pulling on the sun with force of 1.5/ (2.54)^2 = 0.2325
Much more effect on the free fall (with out distortion) of our solar system than the tiny red drawf, Barnard's star.
But lets compare which, is via the gravitational tidal force “stretching” / distorting earth's orbit more, thus effecting very slightly the Global Warming of earth:
Tides due to BS go as: 0.00403/ 5.98 = 0.00067 and those from AG as: 0.2325/ 2.54E6 = 0.000,000,0915 or in terms of possible effect on global warming, BS beats AG by a factor of 44,048 times greater effect.
The Great Attractor, GA, which is ~2E8 Light years away and has a mass of ~1000 trillion suns (E15 solar masses) -
http://www.universetoday.com/113150/what-is-the-great-attractor/
(How far away the GA is not well known. Some reference say only 1.5 E8, some say 2.5E8 LY.)
So GA is pulling on, giving free fall, to our entire galaxy of: E15/ (2E8)^2 = 0.025 or essentially the same way that AG is on the sun but its GW tidal effect is only 0.025/2E8 = (0.0125)/E8 =0.000,000,000,0125 = 1.25E(-11) and compared to GA's tides, 0.000,000, 0915 = 9.15E(-8). The GA has weaker GW effect by factor of 9.15E(-8) / 1.25(E-11) = 7.32E(-3) = 0.00732 than the Andromeda Galaxy does, or
If we compare the tidal effect of the great attractor to that of tiny but much closer, Barnard's Star, then BS is more important on GW than the great attractor, GA, by a factor or 44,048/ 0.00732 = 6,017,468 or the tiny Barnard's Star, BS, has more than a million times more effect than the Great Attractor does on Earth's global warming, but even Barnards Star has at least a million times less influence on global warming than than CO2 has!
I.e. The "Great Attractor" has a million millions times LESS influence on Global Warming that man's CO2 releases does. I think we can ignore the GA!
Two CoGs for the earth's mass (or any well defined mass set) is a violation of the very concept of CoG and thus NON-SENSE !