The concept and outcomes of author's research opening the actual gear of phenomena, dependent on speed of gravitation is stated. It is shown that the existing theories of gravitation, based on absolute vacuum, long-range action, primacy of relativity are artifacts. It is shown that the main problems of the theory of gravitation can decided within the framework of the aethereal approach of Hooke, Gauss, Gerber. The solution of problem of motion of perihelions of planets and stability of a planetary system is discovered. The full table of motion of perihelions of planets and theoretical values of steady eccentricities obtained by the author with the help of the aethereal approach are given.

Unfortunately, since ancient pagan times, inspite of common sense, in a temple of physics not physics itself, but its tool and servant - mathematics which self-reigned itself as empress of all sciences.

Really, being a powerful tools, quantitative methods and models allowed to get magnificent on accuracy outcomes, but … no more.

Substantially, mathematics is necessary, but only intermediate between the qualitatively - logical analysis and physical experiment, between theoretical and always abbreviated, idealized logical model of a reality and physical world, which knowledge at its best is partial and abbreviated, and usually it is insecure and scholastically exaggerated.

The “monarchic” philosophy of quantitative mathematics has resulted in the absurd subordinate position not only physical reality (“ if the facts do not confirm the theory, that is worse for the facts ”), but also the logic - fundamentals of all sciences.

Last, visible as the advance - mathematization of logic, substantially has resulted in arbitrary “pseudo-quantitative” manipulation with logical concepts, substitution of concepts of actual logic by illogical pseudo-scientific constructions generating and peaceful coexist with paradoxes - the indicators of violation of logic and thinking.

There was occurrence of the scientific myths as consequence of this unhealthy process. Let's consider those myths which are the brake for development of the theory of gravitation.

“The Newtonian mathematical basis of nature” [28] - a myth, based on adoption of Robert Hooke's works on aethereal theory of gravitation [20], but excluding aether itself as the fundamentals of the Universe, by declaring a possibility of action in absolute empty Space.

Usage of bare mathematics of motion of celestial bodies in a simple case of motions of trial bodies in a gravitational field of sole heavy body (“ the force, inversely proportional to a square of distance”) has resulted in dock in the solution of such simple problem as a “problem of three bodies”.

Substantially has appeared, that the operation of gravitational force is a little differ from a back - quadratic, but if we accept it (“Hall's hypothesis”), the conservation laws in a mechanics are upset. The calculations of Mercury's perihelion motion produced, ostensibly, within the framework of the Newtonian theory, grounded on rejection from the Newtonian back-quadratic law, and therefore these calculations have no any relation to Newtonian law.

Besides within the framework of the Newtonian theory there is no a solution of the problem of orbits stability, and Newton, when ones asked him about this problem, responded that it is a duty of the Great Watch-maker, who will get orbits on former places.

“Perturbation theory” - a technology of mathematical approximating in gravitational astronomy of unknown of effects from the third bodies which were generating the myth about super accuracy of the Newtonian law of gravitation. Substantially, using formal proximity of actual forces of gravitation (same narrow class of functions), by adjustment of series of astronomical disturbances to a concrete set of equations, the mathematicians achieved both approximation, and far extrapolation of series. It has enabled to predict behavior of “osculating” orbits and to calculate unknown planet Neptune by mathematicians Adams and Le Verrier [29, 30].

Substantially, the formulas of a perturbation theory do not correspond to the Newtonian law and laws of conservation of energy, moment and momentum.

Really, if the Newtonian forces are central, it is impossible to change neither mean moment, nor mean energy of a planet by any periodic effect of other planets of the same planetary system.

There are no reasons for such effects. Such basis could be non-central of a field, presence of a direct mechanical connection between planets or presence of the moment of forces applied on a planet. In the Newtonian theory the field is central, so the integral of a disturbance on an infinite interval of time is in essence equal to zero. The planets in the Newtonian theory do not have gravitational “sails”, that it is impossible to speak about the applying the mechanical moment to a planet.

The perturbation theory has allowed “to the touch” to use the “another's” formulas, namely formulas describing forces of a gravitation created by aether.

“The tidal theory of interplanetary resonances” - a myth constructed on concept of a tidal friction, but completely absurd, disregarding actual absence of an arm on planetary distances and assigning substantially nonexistent friction to elastic micro-strains of planets under operation of a micro-gravitation each other.

“Special Relativity Theory ” (SRT) - a myth, based on illogical concept of irrespective speed of light. Within the framework of this myth the light has a speed in itself, irrespectively to anything.

As is known from classical physics, the concept of speed arises during motion of one object concerning another, and mathematically expresses as a derivative of path on time. Without the second object, concerning which the speed is measured as change of distance in due course, this concept loses any sense.

In the SRT myth speed of light is a constant simultaneously in relation to objects moving with different speeds in different directions. Thus, at acceptance of this myth both time and space lose sense of independent measures.

Objectivity of motion and phenomenon fades. It become dependent from arbitrariness of the observer, place, angle and speed of observation.

Basically, in mathematical model of space - time of Minkowski it would be possible to invert a reality “from legs on a head” and to fasten this nonsense to quantitative data of physical experiment. But there are some “but”.

In 1748 M. Lomonosov and after him A. Loviesier in 1789 experimentally have shown, that the substance does not fade and does not occur in chemical reactions. In 1847 Hermann von Helmholtz has extended conservation laws on all kinds of energy and substance [43]. Basically, it also should be expected, if we live in a causal world. In a causal world should not anything fade and come up. That would be violation of causality. If the causality is upset, logic and science are simply senseless, and it is not necessary to be engaged in them.

The principle of causality conducts inevitably to the law of a non-manipulability of time.

The time in a causal world should be homogeneous and unidirectional. At uneven of time measure causality is upset. The conservation laws, which, on definition, make sense only at homogeneity and uniform of time lose their force. It is possible to say same about a mathematical idol - Lagrangian.

Thus, mathematically self-sufficient in themselves, the formalism of curved space - time of SRT do not correspond to a principle of a causality and physical reality.

Though the centenary juggling of facts contradicting to SRT, for example, Sagnac effect, has resulted also in creation of a powerful arsenal of scholastically sharpened examples of its confirmation, more new facts refuting SRT are occurring (invariance of the shape of bodies at subluminal velocity, difference from SRT the data of a global navigational system GPS [37, 38], superluminal velocity in active environments (lasers) [39, 40] and remote coherent states - “teleportation”) [41].

“The General Theory of Relativity” - a mythical theory of gravitation, based the formulas of actual aethereal works of Paul Gerber [25-27] and mathematical formalism of David Hilbert [31], binding a relativity of Lorenz - Poincare with the Newtonian theory of gravitation.

This myth not founding of any essential actual confirmation, but having powerful political support, became a banner of mathematical physics of 20-th century and … became the brake of new space technologies.

As it is shown in [18], each particle of substance, being a pole of a disturbance within aether, creates around of itself a field of deformation, which density drops back to cube of distance. As against Newtonian field this field is additive for several gravitating bodies.

Last allows easily to manipulate by gravitational forces, solving a problem of gravitational interaction of many bodies.

As against existing judgement, that weight and the energy is attribute of substance (material), in a reality, the substance is only aggregate of poles of deformations of aether, and observed property of inertia of substance, and its energy are attributes of a perturbed aether.

Energy E = mc² is an energy of field of deformations of aether around of mass m, that is energy of gravitational field. As a matter of fact, the inertia of aether subjected to deformation determines a value of mass [10].

The deformation of aether arises together with a pressure differential in aether caused by phase change in aether, the presence of discharges of aether in particles of gravitating material. According to the laws of hydrodynamics discovered in 18-th century by Daniel Bernoulli [21] and Leonhard Euler [22], such difference creates force close to a return square of distance between gravitating bodies. It appears in modern theoretical physics as Newtonian force of a gravitation.

In case of many bodies, close distances and high speed the deviation from Newtonian law of gravitation are essential.

How to calculate these forces? The base it is created centuries ago.

First of all, it is Galilean principle of a velocity addition and Galilean principle of relativity corrected for high speed of movement of deformations in aether. The running speed of a deformation field is known for a long time is a speed of light.

Secondly it is the mathematical theory of the potential, designed by Karl Friedrich Gauss, and in particular, its last modification of 1845 - retarded potentials. Unfortunately ingenious Gauss has left in another world before publishing results on retarded potentials, and his letter with presentation of idea of transmission of potential through environment with final speed of propagation was hide by W. Weber from scientific community, and Gauss's solution is presented in the distorted kind as Weber's own solution [29, 42].

Partly therefore at the end of 19-th century Paul Gerber needed to find the solution of this problem by himself, and he has executed it with honor [24-27], having applied the theory of retarded potentials to a solution of a problem of anomalous motion of Mercury. Unfortunately, soon after publication of his articles Gerber has left in another world, and his transactions utilized for relativistic hoax of Einstein [32-35].

In the concept of the aethereal theory of gravitation celestial bodies do not effect against each other directly, and interact only with a gravitational field in a place of the presence in the given moment.

As it is shown in [18] the energy distribution of a gravitational field is determined by deformation (pressure variation) ether around of a gravitating body of mass m

Hooke = mc²/R³ [Pa],

where c - is speed of light, R - is a distance from a body.

where v = dR/dt - is velocity of relative motion of bodies (positive at moving away and negative at approach of bodies).

Let's remark, that the velocity addition in this case is purely Gagilean. Namely the value (1) is a potential, which affects the second body. It is additive in relation to potentials created by all other bodies.

The potential (1) can be decomposed on parts dependent and independent of relative velocity

The second term of decomposition makes 10^-4 parts of first at usual velocity of planets, and third term is 10^-8 of first term. As against Newtonian interaction, which is a particular case of the first term in (2) in case of single gravitating (heavy) body, Hooke's potential (1), (2) creates uncompensated effect into orbits of planets by terms dependent from relative velocities of celestial bodies, causing the rotational displacements of perihelions, that is transmitting a moment of momentum from one planet to another.

For illustration of it let's consider figure 1, where the relative motion of planets is shown.

Fig. 1. Interplanetary disturbances in aethereal gravitational field.

( 1 - is relative motion of an external planet, 2 - is relative motion of an internal planet, 3 - is line of quadratures)

This is a “secret” of “normal” motion of planetary perihelion.

In 1898 Paul Gerber has considered the effect of lag of a gravity potential of the Sun on planets having an eccentricities, that is approaching and leaving from the Sun. He wrote about process of a gravitation [24, Ch.J. Bjerknes's translation]:

Reasoning thus Paul Gerber has received the formula of potential of gravitational field in a view of relative motion of bodies within the second order accuracy relatively c

where γ - is a gravitational constant, M - is a mass of a body creating a gravitational field, R - is a distance up to a planet, c - is velocity of propagation of gravitation.

Really, if we closely consider elliptical orbit, we will see, that in an interval from an aphelion up to a perihelion the planet goes to the Sun, and during motion from a perihelion up to an aphelion it leaves. The operation of a potential (3) (or all the same (2)) results that in halfcycle from an aphelion up to a perihelion the planet meets the greater attraction of the Sun, than in halfcycle from a perihelion up to an aphelion. It results in actual “bending” of an elliptical trajectory and perihelion advance in the orbital motion direction. There is no any “distortion of a space-time” in against of mythical GTR. Orbit of a planet gains a kind shown in fig. 2.

Thus Paul Gerber has received precise values of “anomalous” motion of perihelion which LeVerrier can not find

Variable from velocity of relative motion of bodies the parts of potentials (2) and (3) do not differ in a physical quantity, but only formally - mathematically in the third term of eq. (2), substantially making no more than 10^-8 part of a potential (1)

Fig. 2. Motion of a perihelion (the value is exaggerated for visualization).

dω - is a motion of perihelion for one orbital period.

In sum the "normal" and the "anomalous" components of planets effect to each other yield observable motion of perihelion.

The "normal" motions of perihelions according to formula (2) calculated by the author, and components of "anomalous" motions of perihelions according Gerber's formula (3) for planets of Solar system outgoing from abbreviated flat model of Solar system and without considering of resonances of distant planets and influence of Moon, Earth's heavy satellite are listed in table 1.

Table 1. A full composition of components of motions of perihelions of planets

( in arcseconds per century)

In the last line of table the values of perihelions motions observed by NASA are shown.