GRAVITY

In light of the recent News story on the modification of the laws of gravity, as evidenced by recent space probe data from NASA of which a report and an analysis will be appearing in Physical Review later in 2008: "NASA Baffled by Unexplained Force Acting on Space Probes", as is described in the news item from the press www.space.com/scienceastronomy/080229-spacecraft-anomaly.html


A possible scenario for working out this situation may be the following. We thus have Newton's generic result, or Kepler's result, for gravity as:

(i) F = mxMxG/r^2

where the force of gravity, F, goes as the inverse square of the distance between two bodies of mass m and M, and G is a proportionality constant.

Perhaps this had better be replaced by a power series in r, as:

(ii) F = (mxMxG/r^2) + (mxMxG'/r^1) + (mxMxG''/r^0) + (mxMxG'''/r^-1) + (mxMxG''''/r^-2) + ..............+ (mxMxG(N)/r^-N)

With the coefficients G, being of such magnitude and proper dimensions that it appears that perhaps (i) is the answer for all such cases. The constant term could be defined for certain masses, and the constant term, and the inverse powers would contribute the bulk to the gravity force.