Force of Gravity fg that Body A exerts upon a Body B, both standing at the same referential

Enviado por Geraldo em ter, 01/22/2008 - 08:30.

To an observer at the referential of A

A body B standing in the gravitational field of body A is connected to that body thru the line of gravity AB. Thus, body B is attracted towards body A by the force of gravity Fg, where
or
, where
Fg = Force of gravity that body A exerts over body B;
Ma = Mass of body A
Mb = Mass of body B
D = Distance between body A and body B
t = time the energetron takes to go from A to B at the speed c
G = universal gravitational constant
G´= gravitational constant, where

An observer at the referential of A sees an energetron of that gravity line AB cover a trajectory AB of length D, in a time t, at the speed c.

To an observer in the absolute space


An observer in the absolute space who is seeing the same line of gravity AB that an observer at the referential of A sees, watches an energetron from line of gravity AB be emitted by body A at the moment that body A occupies position A0 and body B occupies position B0 of the absolute referential. Such energetron arrives at body B when it occupies position Bn and body A position An of the absolute referential.

Based on this figure, an observer in the absolute space concludes:
1º) Energetrons from line of gravity AB suffer influence of the speed V of expansion of the Universe of A referential, changing its speed c of emission to c2, where c2 = c + V.
2º) In a time t:
- Bodies A and B go from positions A0 and B0 to the positions An and Bn, covering trajectories A0An and B0Bn, of length E, with a speed V, where E = V.t.
- The energetron goes from position A0 to position Bn, covering its true trajectory, of length L, with the speed c2, where L = c2.t.

3º) This energetron, upon arriving at body B, at position Bn, due to its speed c2, the speed V of body B and to the effect of aberration, changes its speed from c2 to c, where c = c2 – V, and its direction of arrival, as if it had covered trajectory AnBn, exerting over body B the force of Gravity Fg in the direction of An.
4º) The line of gravity is dragged by the speed V of expansion of the universe of body A, at the same time it grows with speed c, exerting the force of gravity Fg in the direction of body A.
5º) The line of gravity is always between body A and B, at the various positions it occupies in the absolute referential.
6º) No photon has covered trajectory AnBn. All of them have moved in the direction of speed c2.
7º) At the same instant that the energetron arrives at position Bn, body B also reaches this position and body A reaches position An. This would be possible only if gravity functioned in an instantaneous way. We call this phenomenon the Cristina Effect on gravity.

We may also assume that the observer is at the referential of B, since A and B are at the same referential.
Thus, the whole reasoning above is good for the functioning of the force of gravity Fg that body B exerts over body A.


The line of gravity BA of the gravitational field of body B exerts over body A the force of gravity Fg.



The energetron from line of gravity BA, upon arriving at body A, at position An, due to its speed c2´, to the speed V of body B and to the aberration effect, changes its speed c2´ to c, where c=c2´- V, and its direction of arrival, as if it had covered the trajectory BnAn, exerting over body A the force of gravity Fg in the direction of B.
Now, we may summarize:
- Between two bodies A and B, standing still in the same referential and with a distance D between them, there will be two lines of gravity belonging to the gravitational field of each body, exerting a gravitational force Fg toward the other body.


 


Camila Effect