Precise Ideal Value of the Universal Gravitational Constant G

In this paper, we are going to rely on the first law in physics through which we can obtain a precise ideal value of the universal gravitational constant, a thing which has not happened so far. The significance of this law lies in the fact that, besides determining a precise ideal value of the gravitational constant, it connects three different physical disciplines together, which are mechanics, electromagnetism and thermodynamics. It is what distinguishes this from other law. Through this law, we have created the theoretical value of the gravitational constant Gi and we found it equivalent to 6.674010551359 × 10 m∙kg∙s. In the discussion, the table of measurements of the gravitational constant was divided into three groups, and the average value of the first group G1 which is the best precision, equals the following sum 6.67401×10 m∙kg∙s, and it’s the same equal value to the ideal value Gi that results from the law, as shown through our research that any other experimental values must not exceed the relative standard uncertainty which has a certain amount that is equivalent to a value of 5.325×10 and that’s a square value of the fine-structure constant.


Introduction
Although 3 centuries have elapsed since Newton set forth his gravitational law, physiology has been unable so far to create an exact theoretical value for the universal gravitational constant with no available values of the gravitational constant values except those values concluded by scientific experiments, especially conducted for obtaining the most accurate values of this constant. forth a universal gravitational constant sole theory value, to be calculated through an index of a law known in the Khromatic theory as "The Law of Gravitational Constant" [1], although another problem yet lies here, which is that all results of experiments relating to determining the value of gravitational constants are confined to two values: a greater value and a lower value.
To overcome this problem, we put forth a supposition that a certain marginal velocity can be a basis for calculating a gravitational greater value acceptable as an ideal value within a certain error rate. And to ascertain the validity of the hypothesis we compared, through discussion, the values we obtained with those on the gravitation Table 2 of 2014 CODATA, as the comparison showed that in both cases the values were significantly close together, a thing that enabled us to solve the discrepancy between the theoretical and experimental values, consequently modifying Table 2, thereby we will have left behind an era of incessant attempts to find out the most accurate value of the gravitational constant.

The Precise Ideal Value of G
The law of gravitational constant looks like this: We are not going in our discussion, to deal with the method of the inference of this law, because of that it will be through another search that will be published completely, but we will content ourselves by reviewing the law and finds the precise ideal value of gravity through it.
Taking the values of the constants above from an abbreviated list of the 2014

The Expected Value of the Gravitation Constant
Perhaps the ideal precise value of the gravitation constant is suitable for the static large blocks or those having negligible velocity-induced increment.
As for small masses moving at high speeds, it is more suitable to deal with relativity when calculated, however, we can handle expected values of the gravitational constant for experiments in which the body's velocity is so limited that the block's increment may be overlooked.
And to find such values, we can suppose that the block's laboratory speed limit should not exceed the orbital speed of electron in an atom of hydrogen and consequently the maximum expected gravitational value should not exceed a maximum value of the gravitational constant that is calculable using the equation.
( ) as, 3 : fine structure constant 7.2973525664 10 And on calculation of this value we get the following: Hence we can deduce the ideal standard uncertainty vale G ∆ from the equation: And the ideal value of the relative standard uncertainty is r u of the equation: which is a somewhat an acceptable value.

Relationship between α and r u
Since

Discussion
In this discussion we are going to compare the ideal values we had got by theoretical means and the documented experimental values in CODATA gravitational tables, and we will show that the values are close in both cases. In this table there are three groups of measurements [3]. • The first such group consists of six measurements with the average value of Therefore, we conclude that the ideal value of the gravitational constant equals the sum

Comparison of the Ideal and 2014 CODATA-Recommended Value of the Gravitational Constant [4]
We learn from Table 2  6.67408 10 − × .

Comparison of the Extent and Rate of Error
When comparing the ideal quantity of standard uncertainty, which equals To its counterpart mentioned in Table 2, which has the value:

Comparison of the Relative Error Rate
Likewise, when comparing the ideal value of the relative standard uncertainty, which equals: To its counterpart contained in Table 2 which has the value:    Table 3.

Conclusions
There is a precise ideal value of the universal gravitational constant which equals 6.674010551359 × 10 −11 .
That may be calculated through a theoretically concluded equation of its own, and the cause of discrepancy of the gravitation value is attributable to the circumstances of the experiment as well as the sophistication of the nature and speed of particles used to measure the gravitational constant in such experiments.