Relativity and Gravitaty

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  Hello,

     We have, over the articles on gravity, traveling in a mechanical well "oiled", made of simple relationships between celestial bodies. Kepler and Newton appeared to have managed to describe the great ballet of the cosmos with a mathematical accuracy. It remained fully verifiable long seen as models, their distances and their periods of revolution corroborated well with estimates of their equations. One thing was a very slight problem: the orbit of Mercury, the closest planet from the sun whose orbit is highly elliptical (it does not turn round) took the lead on the calculations ... It was very little but enough so that over time and observations, the phenomenon can not be ignored and no mechanical explanation, even complex interaction not able to solve this defect. The key problem was linked to an unknown factor: The speed of light.

     Historically and probably because it is extremely high, the speed of light was seen as infinite. No way did indeed verify that it was false, especially as the representative religious dogmatism fail its foundations geocentric calming any form of vision contrary to its principles: Galilee and many others did the costs. However, in 1670, the astronomer Romer found the optical gap of a satellite of Jupiter and concluded that light has a speed in the vacuum of space. The method allowed him enough despite imprecise, a definition similar to that accepted today. Thereafter, other experiments affinèrent accuracy of the calculation to achieve a high precision: C = 299 792 458 m/s.

     At this moment, you wonder what that might as well be related to gravity. The relationship between light and gravity is very important, because both are vectors of shares, they transmit information between the bodies and we know now that this information does not travel instantly. Nothing can indeed exceed the speed of interaction C (light) or G (gravity). Albert Einstein much later, told the demonstration and confirmed precisely explaining the behavior of Mercury.
We are going to put us in a practical and demonstrate that since Romer, the mystery of Mercury could be revealed. 
  

     Without hideout outside the system, the rotation center of the body of C or orbital rotation around the observer C makes no difference. To simplify the argument we will therefore C rotation and fixed observer.

The following shows an object against center C, or we apply the force of gravity due to its mass. The radius is defined by the distance a.c.

If the observer (OB) illuminates the object rotation, it receives in return a distorted picture of reality:

Ob, A and C are aligned, but B is deflected in the direction of rotation and appear B (B is B to B 'time t' t put the light to go from A to B). The ACB is straight axis if the rotation is zero or the speed of C is infinite. 

     Thus, the more speed increases and the axis ACB deforms, which implies a concentration points to the right of Ob and a stretch (depletion) to his left. The force of gravity is the result of any material of the object, its point of application of mass C is shifted to the right of the observer, and since Ob is close to A, AB is large and rapid turnover. 

     The brief explanation seems not to burden the subject, but the pattern speaks for itself. We can easily transpose it to the couple Sun-Mercury.

Mercury orbits the Sun at a distance quite low and therefore so fast (Kepler law). The sun is very large compared to Mercury. The gap ACB is therefore evident, even if it is low.

It concludes that Fg (attractive force) applied to Mercury is no longer directed to C but to a point C ', center of mass "seen" the sun, put forward in the direction of rotation of the orbit. Mercury does not suffer longer a movement but a uniform acceleration.

This acceleration very low (B 'is very little displaced B) an offset positive impulse to the ellipse of Mercury. 

    We will not go into the exact calculation for the time being, the intention was to demonstrate that the principle of application. The gravitational image of the Sun is distorted by speed. We understand that this is very low as C-Light is very high and therefore it is not noticeable for more distant planets and slower still perfectly Newtonnienne. We have just set foot in relativity dear to Einstein and simple geometric!
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