Book: An Introduction to Modern Astrophysics, 2nd Edition, by Carroll and Ostlie.???????

3. (a) We have shown that the General Relativity correction to Newton's Law of Gravity for weak gravitational elds goes as F3 and is about 3 x 10'8 as large as the normal gravity of the Sun's gravity at the position of the Earth. Here is the formula we used. _GZM (1 3GZM) 7.2 F(r)/m : (7) r62 There must be an additional term to this law of weak gravity if it turns out that gravity is quantized like the other three forces of strong-nuclear, electromagnetic, and weak. What that correction is we don't really know. A popular guess based on a technique called "effective field theory\" adds another value to this formula F(r)/m GEM (1 SGZM 127 GE) (8) + 7'2 r02 1207T2 r363 adding an F4 law to gravity. You can tell this is a quantum mechanical correction since it contains Planck's constant. Calculate the quantum correction to gravity due to the Sun's gravity at the position of the Earth. (b) Is this correction a gravity or anti-gravity