# An Equation for G By Robert de Hilster NPA Conference 2008 Albuquerque, NM.

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An Equation for G By Robert de Hilster NPA Conference 2008 Albuquerque, NM

How can the curves be so similar?

When the Equations are So Different

A Special Case of the Graviton Equation Gravitons Pairs Replace Density with Mass/volume Multiply by 1

Two Gravitons

Graviton Pairs First term is +Ng Second term is -Ng (1 - Ze Abc De) Added together as a pair is Ng Ze Abc De

Simplified Equation The term with Ng(1 – Ze *Abc *De) is gone It is replaced by Ng Ze Abc De The number of angles in the plane has been reduced to 180 because the equation is in pairs

Density = Mass/Volume The density of the earth and the moon both appear in the equation This part of the equation shows mass times mass

Re-arrange the equation Insert Mass/Volume Re-arrange

It looks like Newton There is mass times mass, but no 1/R^2 Where is R = Rm + d1 + Re Cant introduce d1 So maybe it could be forced

Multiply By 1 Numerator left, denominator right

An Equation for G Units for G [Nt*(m^2/Kg)^2*m*m^2* m]/m^6 Nt*m^8/(Kg^2*m^6) Nt*m^2/Kg^2

First 8 points of G

Extended Curve

An Equation for G Units for G [Nt*(m^2/Kg)^2*m*m^2* m]/m^6 Nt*m^8/(Kg^2*m^6) Nt*m^2/Kg^2

Two Extreme Cases If the graviton experiment proves wrong, then the equation for G is wrong. If the graviton experiment shows that the graviton equation gets the right results, then there is no need for G So, its is either wrong or not needed.

Maybe Reality is Somewhere in Between Given the right circumstance, both equations may be useful If the graviton equation is better, and since it is hard to use Then use the Newtonian equation, but get the value of G from the curve for G

How can G, a constant, vary with distance? If it is a constant, it cant! There are two equations, Newtons equation and the graviton equation Both are mathematical equations The curve for G is one way to show the difference

Double Summation Since the two equations give similar curves Then the double summation must be nearly equal to 1/R^2 Maybe it is possible to mathematically change the double summation to a series that has 1/R^2 as its main term

Double Summation vs 1/R^2 If the double summation was equal to 1/R^2, then G is now a constant The units of G are wrong!

An Equation for G Units for G [Nt*(m^2/Kg)^2*m*m^2* m]/m^6 Nt*m^8/(Kg^2*m^6) Nt*m^2/Kg^2

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