Arkady Serkov, Alex Serkov
Verification of M.Faraday's hypothesis on the gravitational power lines

Summary

Follow M.Faraday's hypothesis, the gravitational field is considered as a viscous-elastic body, which is characterized by a number of properties: modulus of elasticity, viscosity, anisotropic structure, the ability to shear deformation. Rotation and movement of the body in orbit are leading to periodic shear deformation of the field, which is implemented in the form of gravitational radiation. It is suggested two equations to calculate the speed of its spread. Velocity gradient at the field shear causes concentric orientation of the power lines at which the motion of orbiting bodies takes place without energy consumption. Distance to the orbits with the orientation of force lines obeys quantum law. The hypothesis about the origin of the magnetic field by the motion of celestial bodies and the shear deformation of the gravitational field is suggested. The repulsive force in space is due to the movement of the body in a magnetic field of another body. The formation of planetary rings depends on the mass and speed of the planet rotation. In the process of the emergence and evolution of planetary and a satellite system it is involves three known mechanisms: condensation (accretion), division and seizure. Condensation and accretion, as well as the slow accumulation in orbit changes occur during the gradual evolutionary change systems, which are then accompanied by abrupt (catastrophic) changes as a result of fission and capture of the celestial bodies.

Introduction

The M.Faraday's power lines as the most important characteristic of the gravitational field, recognized by all, and yet this idea has not found wide implementation of development has not received what she deserves. This question is especially acute in connection with the rapid development of space, the discovery of previously unknown effect ("Pioneer" and satellites "Lageos").

Without invoking the power lines of gravity is impossible to know and explain the laws of planetary distances, the distribution of mass in the solar system, the nature of planetary rings, repulsive forces, gravitational radiation, the difference between gravitational and electric magnetism. The book is an attempt to find ways to the solution these issues.

The first chapter discusses the features of the gravitational field stationary and rotating celestial bodies. At the same time we are based on the M.Faraday's hypothesis that "The sun generates the field around itself, and the planets and other celestial bodies feel the influence of the field and behave accordingly." Elaborating on this thesis, it was assumed that the gravitational field of a cosmic body is realized in a physical medium (environment, ether, physical vacuum, dark matter) and can be considered as a viscous-elastic body, which can be characterized by a number of properties: modulus of elasticity, viscosity, anisotropic structure, the ability to shear deformation.

Shear strain of the field during the rotation of the body is considered taking into account the laws of dynamics of boundary layers formation, its particular case – separated flow. Provides a balance of forces, where the tearing is realized during the formation of the boundary layer on the surface of a revolution body.

The velocity gradient in the boundary layer results in a concentric orientation of the force lines of the gravitational field. Zone with a maximum orientation of force lines is characterized by minimal resistance movement orbit of the body and is regarded as permissible orbit.

The second chapter is the most important. It based on the experimental data on the evolution of moon satellite orbits is confirmed by many authors predicted a phenomenon similar to electromagnetic induction. Expressed and proved the assumption that the braking of lunar satellites due to the gravimagnetic forces arising at the intersection by satellites the power field lines (lines of tension or force lines) of gravitational field. To calculate the forces used an equation similar electrodynamics' equation of the Lorentz force. Estimated time of satellite braking "Lunar Prospector", "SMART-1" and "Kaguya" coincides with the actual accuracy of ± 14 %.

The scheme of the emergence of gravimagnetic forces is proposed, according to which the magnitude of the force depends on Sinα, where α is the angle at which the satellite crosses the gravimagnetic tension line. For non-rotating body – the moon, this angle is equal to 90 degree and the gravimagnetic braking force has a maximum value. In the case for rotating bodies, such as the Earth the intersection of tension line seems to occur at sharp angles and the braking force is much smaller (the "Pioneers" and satellites "Lageos")

It is suggested that the central rotating body by its rotation cause in the surrounding gravitational field periodic alternation of layers with a preferred orientation of radial and concentric force lines of the gravitational field, which leads to different intensity of the gravimagnetic braking forces and emergence of stable (permitted, elite) orbits and unstable (unresolved) orbits with high intensity of braking. An equation that determines the distance to the stable orbits is given. In equation includes a constant C = 2,48.10*8 cm / s is close in magnitude to the gravidynamic constant 2,16.10*8 cm / s, a member of the equation is similar to the Lorentz force equation is used to calculate the power gravimagnetic braking.

Establishing the exact laws of planetary and satellite orbital distances has always been a priority issue in astronomical science. However, for a long time on the empirical rule Titius-Bode law is not passed. The use of quantum principles allowed us to obtain a quantitative relationship between the orbital distances and rotation parameters of the central body. The resulting pattern confirms the above Faraday's statement that the Sun and the planets generates a field around him, and "orbiting celestial bodies feel the influence of the field, and behave accordingly."

The resulting pattern (chapter 3 and 4) states that the orbital radius of a planet or satellite R is defined by the formula: R = n*2 (GMT / C)*0,5, where n – integer, G – gravitational constant, M and T is the mass and period of rotation of the central body C – constant equal 4,63 ∙ 10*8 cm / s. From this formula it follows that the planetary and satellite distances determined by the parameters of rotation of the central body (M, T). Their influence is carried by shear deformation field, which causes the orientation of force lines that "celestial orbit bodies feel and behave accordingly."

The fifth chapter considers the nature of gravimagnetism. Based on the premise that electric charges do not exist, and their functions are carried out by elementary particles, due to the high density of matter in them (~ 10*12 g / cm3) and high rotation speeds (~ 10*15s*-1), the mechanism of magnetic fields formation, according to which the magnetic field induced by the mass of the shear deformation of the electrostatic (microgravity) field and the gravitational field. In the first case realize a field with high intensity, but it is effective at short distances. In the second case, the field has a relatively small stresses, but extends over long distances. The first kind of magnetism, taking into account the tradition, it is proposed to call electromagnetism, the second – gravimagnetism.

One of the cosmological paradoxes (it is sometimes called Newton's paradox) is that despite the absence of symmetric repulsive force gravitational force of attraction did not cause the collapse of the universe. This paradox has stimulated numerous attempts to detect cosmic repulsive force, which in size would be commensurate with the gravity. In the sixth chapter we prove that cosmic repulsive force in space has a dynamic nature. It occurs when the body has a mass moves in the magnetic (gravimagnetic) field, which is formed by the other body. This gravimetric force is similar to the electromagnetic Lorentz-Ampere force in atomic systems. Gravity and magnetic repulsive force is proportional to the square of the velocity of the moving body, the masses of interacting bodies, Sinus of the angle between the direction of motion and the power lines of gravimagnetic field and inversely proportional to the distance between the bodies in the fifth degree.

The seventh chapter is devoted to the problem of gravitational radiation. It is described two kinds of gravitational radiation due to shear deformation of the field during the rotation of the body and its orbital motion.

Shear deformation of the gravitational field has two components of normal stresses perpendicular to the direction of propagation of gravitational waves G and B. This are the vectors of gravitational and gravimagnetic tension. During the rotation or orbital motion of a body in a circle on the 360*0 the vectors change the direction relative to the selected external coordinate system, and the magnitude of the vector describes the full wave.

Radiation energy during rotation of the body can be described by the secular slowdown in the rate of rotation of celestial bodies. Radiation energy orbital motion of bodies can be estimated by reducing the potential energy of the orbital body during the transition to a low-grade orbit. Energy conversion related to gravitational radiation, are considered by the example of the evolution of the orbit lunar satellite Smart-1.

The formation of Saturn rings was considered as unique phenomenon, peculiar only to this planet. However, in recent years, circular structures were discovered at Jupiter, Uranus and Neptune, which allows to conclude that the universality of this phenomenon. In this book (chapter 8) substantiates the assumption that the formation of rings in the satellite systems associated with the rotation parameters of the central body. The relation between the distance from the planet to the rings and the parameters of the planets, which are expressed as the square root of the product of the planet mass for the period of its rotation is shown. It is suggested that the asteroid belt in our solar system and the Earth's radiation belt belong to the same group of phenomena form a ring structure by dynamic changes in the surrounding gravitational field.

Chapter 9 is devoted to the laws of the mass distribution. The existence of certain regularities in the distribution of the planets and satellites masses depending on the radius is not in doubt. It is shown that mass distribution and densities of the planets and satellites in the orbital radius is given by the distance between adjacent allowed (elite) orbits and the intensity of the gravitational field. In orbit can not be a cosmic body mass and density greater than specified. Due to the random nature of the capture bodies on their orbit the mass and density can be below given values, which explain the absence of strict regularities in the distribution of the masses of the planets and satellites.

The hypothesis according to which the mass distribution along the radius in the planetary and satellite systems is determined by the distance between neighboring orbits and gravitational tension is proposed. Hypothesis is supported by the linear dependence of the density of orbiting bodies on the value of their orbital radii at the correlation coefficient 0,90-0,91.

In the final tenth chapter is given a critical analysis of the existing theories of the origin of the solar system and is proposed a new interpretation of the problem.

In the process of the emergence and evolution of planetary and satellite systems involve three known mechanisms: condensation (accretion), division and seizure. Condensation and accretion, as well as the slow accumulation in orbit changes occur during the gradual evolutionary change systems, which are then accompanied by an abrupt (catastrophic) change as a result of fission and capture cosmic bodies.

It is summarizes the requirements to be met by the modern theory of the origin of the solar system. The formation of planetary and satellite systems consist of two types of processes: the "revolutionary" and evolutionary. Among the revolutionary are fast processes of fission and capture of bodies. To evolutionary processes belong to condensation and accretion, the gradual orbit changes due to gravitational braking and action disturbing forces. As a result of a gradual change in weight, increase in size, gravitational braking and action perturbing forces orbital system becomes unstable, and there comes a stage of revolutionary change. Celestial bodies have been always existed as well planetary and satellite systems forming or disintegrated by recombination (mechanism of capture) or accidents related to the division or merger of the central bodies and the transition of orbiting bodies to the other orbit. Accretion mechanism operates in the gap between the revolutionary transformations. It is expressed in a gradual change in the mass, the accumulation of secular changes in the orbit, which eventually expressed in the "aging" of the system, the loss of its stability and transformation by mechanism of capture or fission.

Chapter 1. The gravitational field of fixed and rotating bodies

Summary

Based on the M.Faraday's hypothesis on power lines, the gravitational field is considered as a viscous-elastic body with a set of properties (viscosity, modulus of elasticity) and the ability to shear deformation during rotation. Gravitational field around the rotating body a dynamic boundary layer is formed in which due to the velocity gradient the concentric orientation of power lines take place. In an area with a high degree of orientation the orbital motion of bodies goes without crossing of the force lines and consequently without consumption of energy. It is permissible orbit.

1. Introduction

The Newton's theory of gravitation was based on the principle of action at a distance, according to which the interaction of bodies at a distance is carried out immediately, without any intermediate substance, that is, in the void. Such an approach could not hold materialistic researchers. Changes have occurred with the advent of electromagnetism, where the need for a medium transmitting interaction was more obvious.. The idea of transmission of electromagnetic interactions by means of field was proposed by the English scientist Michael Faraday. Faraday's representation of fields based on the concept of power lines as special formations in the a hypothetical medium – ether. The power lines or the tension lines (force lines) permeate the field. They are conventional and allow visualizing the field at a particular physical influence it, giving a graphical and analytic mapping field.

Although the main works of Faraday belong to electromagnetism, astronomers believe [1] that Faraday also "introduced the concept of gravitational field, which controls the planet in orbit. The sun generates a field around themselves, and the planets and other celestial bodies feel the effect of the field and behave accordingly."

The following article examines the formation of the gravitational field in the fixed and rotating bodies, taking into account the properties of the medium in which the field is realized. Former historical name of this environment – ether is for several reasons, little acceptable. Of the modern notation "physical vacuum" and "dark matter" can be the most appropriate to take the first, although it would be desirable appearance of a new term, which expresses the physical feature of the environment, such as "physical environment", " physical medium " or "ph-media".

Rotation of the cosmic body undoubtedly influences on the environment particularly in the orientation of the field power lines in the space. In turn, the environment affects the dynamics of the rotation, causing deceleration. Question interaction of the medium the moving body adequately studied in hydrodynamics in the theory of the formation of dynamic boundary layers. It seems reasonable to consider this experience when considering the rotation of celestial bodies in the environment of the physical vacuum.

2. The properties of the physical vacuum

In addition to continuity properties and properties when the "vacuum fluctuations, introducing virtual particles may exert pressure on the body," described in the literature [2], based on indirect evidence suggests that the physical vacuum is a viscous-elastic body whose properties can be characterized by the value of modulus and viscosity coefficient.

In materials science for objects with extremely high elastic properties are widely used methods for determining the modulus of elasticity of materials on the propagation velocity of ultrasonic waves. The higher the speed of propagation of ultrasound is the higher modulus material. The velocity of propagation of electromagnetic and gravitational radiation in the physical vacuum is very high, respectively, 2,998.10*10 and 2,3.10*8 cm / s. Consequently, we can assume that the physical vacuum as the medium in which the radiation propagates, has a high modulus of elasticity.

As for the viscous properties of the physical vacuum, they are similar to the rotational viscometer can be detected by slowing the speed of rotation of celestial bodies. Be reliably defined for the Earth and is about 0,001s for 100 years. This is secular slowing down the speed of rotation of the Earth. It is usually explained by the action of tidal forces of the Moon and the Sun. However, the inhibitory effect of the viscosity of the physical vacuum (physical environment) is also quite likely.

Another well-known fact testifies to delay the speed of rotation of celestial bodies in the process of evolution – a decrease in the rate of rotation of stars in the Main sequence. It is assumed that at the initial stage of evolution the equatorial rotation speed of the stars reaches 10 – 100 km / s. At the stage at which the Sun is located, it is 2 km / s, and continued to decrease until the release of the Main sequence.

Consider the possibility of quantifying the approximate viscous braking of the rotating cosmic body due to its shear interaction with the physical environment (physical vacuum).

Figure 1 show a diagram of this interaction, which can be used to calculate the "viscosity" of the physical vacuum. Rotating cosmic body (1) with a radius R slows its rotation under the effect of tangential force f, which is caused by the viscous resistance of the surrounding physical environment (physical vacuum). The linear velocity of the medium at the equator is the linear velocity of the body v. As the distance from the center of the body linear velocity of the medium due to its viscosity decreases to zero at the boundary of the action of the gravitational field of a rotating body at a distance Rg. To calculate the viscosity can use the Newton's law:

f = μ. (Δv / ΔR). s, (1)

where f  – tangential force, causing the shear of the physical environment, μ – viscosity coefficient, Δv / ΔR  – velocity gradient and s  – area of the layer on which there is a shear.

Using the expressions (1) to and date on the slow the rotation speed of the Earth earlier [3] was calculated the viscosity of the physical vacuum and then after the resulting viscosity a value was estimated the deceleration of the Sun rotation speed.

Fig. 1. Scheme of braking speed rotation of the cosmic body due to the viscosity of the physical vacuum: 1  – rotating body, 2  – border effect of the gravitational field of a rotating body, f  – tangential braking force, v  – equatorial velocity, R  – radius of the body, Rg  – radius of the sphere of action of the gravitational field formed body.

Also, based on indirect evidence can be seen on the property of the physical vacuum, undergo longitudinal and shear deformation. Moreover, due to the high modulus tensile longitudinal strain apparently is small. Shear deformation occurs during the formation of gravitational waves, which, by analogy with electromagnetic are apparently cross.

3. The gravitational field of a stationary body

Cosmic body creates around itself a force field – the gravitational field. The main characteristic is its gravitational strength tension at any point. It characterizes the force which acts on a point located in this different body. The tension is given by:

g = F / m, (2)

where g – the field strength (tension), F – gravitational force, m – mass of the test body made to the field.

The gravitational field can be described analytically by calculating it's intensity for each point of the field or graphically, causing tension in the plot line or field lines. An example of a graphic image of the gravitational field is shown in Figure 2. Power lines or tension lines (1) begin at cosmic body (2) and extend into the surrounding space according to the formula (2) to infinity. When interacted many bodies the line tension can take a curved shape and then on the graph the field strength can be characterized by density of the location of power lines.

Fig.2. Schematic representation of the gravitational field: 1 – line tension (power line), 2 – cosmic body.

In accordance with the above concept to consider the surrounding physical environment induced in her gravitational field as elastic-viscous body can be assumed that this body has the ability to tensile strain and shear. The greatest interest is the shear deformation, which during rotation of the body can cause a concentric orientation of the force lines and thus reduce the resistance of the field orbital motion space bodies.

4. The gravitational field of a rotating body

The interaction of a rotating body with elastic-viscous gravitational field, like other elastic-viscous fluids (liquids, gases) can be considered within the theory of dynamic boundary layers. However, with a persistent finding in the literature [4], it is almost not possible to find data on formation the boundary layers the rotating bodies.

The closest well-studied case can be considered a tear flow when the fluid flow separates from the surface of the curved shape. At the front of the body curved shape (Fig. 3) the flow velocity in the boundary layer decreases from the value v₀ on the outer edge of the layer and to v = 0 on the body surface, At the point s there is separation of a laminar boundary layer, and turbulization of the flow.

Fig. 3. The scheme of formation of separated flow around the flow body with a curved generatrix: v₀ is the flow velocity, s – point margin, δ – thickness of the boundary layer.

Given that according to the accepted concept to consider the gravitational field as a viscous-elastic medium, we can assume that during the rotation of a celestial body around it will produce dynamic laminar layer δ, the thickness of which will depend on the mass and speed of its rotation and to meet space scale (tens to hundreds of thousands of miles).

Figure 4 provides a diagram of the dynamic boundary layer (2) of the gravitational field on the surface of a rotating spherical celestial body (1). The body rotates at a linear velocity v₀. Due to the viscosity of the environment (physical vacuum) formed in the boundary layer, the velocity gradient. On the body surface at point s, the velocity of the particles of the physical environment is equal to the linear velocity of the body vo. As the distance from the surface it drops to zero at the surface boundary layer.

Fig.4. The formation of a boundary layer δ around the rotating sphere: 1 – rotating sphere, 2 – laminar boundary layer, 3 – turbulent boundary layer, vo – linear speed on the surface of a sphere, s – point separation, fg is the gravitational force, fc is the centrifugal force,

At point s on the boundary layer, there are several forces that seek to tear it from the body surface. Most of this is centrifugal force fc due to rotation of the body. Another force that is oriented on the boundary layer separation is a normal component of the force is the viscous resistance of the physical environment fv. Has a certain value of the normal component of the inertial force fi, although in the modern sense of the properties of the physical vacuum is hard to speak about its mass (dark matter!). These forces are balanced by gravitational force fg, so that the formation of a boundary layer around the rotating spheres equality:

fg = fc + fv + fi, (3)

For a laminar boundary layer lies a turbulent layer δt (3). However, the turbulent layer, apparently, can occur directly on the surface of the body, if the three components of the breakout forces in equation (3) will be greater than the gravitational force.

Of great importance is the velocity gradient in the boundary layer. Thanks to the difference of the layer velocity will be concentric (tangential) orientation of the force lines that will lead to such changes in the properties of the gravitational field in which the orbital moving body will not cross the power lines and expend energy on their intersection. Due to the concentric orientation of the power lines appear energetically favorable orbit on which the appeal cosmic bodies will be without energy consumption.

Conclusions

1. The considering the characteristics of the gravitational field of stationary and rotating celestial bodies proceeded from the hypothesis M Faraday that "the Sun generates a field around itself, and the planets and other celestial bodies feel the influence of the field and behave accordingly."

2. The gravitational field of a celestial body is implemented in the physical environment (ether, vacuum, dark matter) and is considered as a viscous-elastic body, which can be characterized by several properties: module tension, viscosity, anisotropic structure, the ability to shear deformation.

3. Shear strain field during the rotation of the body takes in to account the regularities of the dynamics of boundary layers formation, in its particular case – separated flow. Given the balance of forces, in which a separated flow is realized with the formation of a boundary layer on the surface of the rotation body.

4. The velocity gradient in the boundary layer leads to a concentric orientation of the power lines of the gravitational field. The area with the maximum orientation of the power lines characterized by minimal resistance to movement of the orbiting body and is treated as an allowed orbit.

Literature

1. Force field. Published 21.12.2012 | By Astronomer

2. www.sciteclibrary.ru/rus/catalog/pages/4903.html

3. A.Serkov, Hypotheses, Moscow, Ed.LLC SIC "Uglekhimvolokno", 1998, S. 73.

4. www.aerodriving.ru

Chapter 2. Gravimagnetic braking of celestial bodies

Summary

Expressed and justified the assumption that the braking satellites of the moon due to gravimagnetic forces arising at the intersection of the satellites of power lines (line tension) of the gravitational field. To calculate the forces used an equation similar electrodynamics equation of the Lorentz force. The estimated braking time for "the lunar Prospector", "Smart-1" and "Kaguya" is the same as the actual precision of ± 14 %. The scheme occurrence of gravimagnetic forces is proposed, according to which the magnitude of the force depends on Sinα, where α is the angle at which the satellite crosses the line gravimagnetic tension. For non-rotating body as Moon, this angle is equal to 90*0 and thegravimagnetic braking force has a maximum value. In the case of rotating bodies, such as Earth, the intersection of the gravimagnetic tension lines, apparently, is at a sharper angle and the braking force is substantially less (the effect of "Pioneers" and the satellites "Lageos").

Suggested that the rotating of the central body causes the surrounding gravitational field with a periodic alternation of layers with a predominant radial and concentric orientation of the force lines of the gravitational field, which leads to a different intensity of the forces and gravimagnetic braking along the radius and emergence (allowed, elite) and unstable orbits (unresolved) orbits with high speed braking.

The equation is proposed which determines the distance to stable orbits. In the equation a constant C = 2,48.10*8 cm/s is close in magnitude to the gravidynamic constant of 2.16.10*8 cm/s, which is included in the equation similar to the equation of the Lorentz force, which was calculated power gravimagnetic braking.

1. Introduction

"Does the gravitational field of the similarity with magnetic? Turn any electrical charge, and you get a magnetic field. Turn any mass, and, according to Einstein, you have to detect very weak effect, something similar to magnetism" is so popular NASA has justified the need to launch several satellites to detect effects of gravimagnetism. We are talking about the launch of the satellite gravity probe B (Gravity Probe B), in which gravimagnetic effect is expected to detect at the exact precession of gyroscopes mounted on the satellite [1]. In another experiment (frame-dragging), associated with the launch of two geodynamic satellites Lageos-1 and Lageos-2 (LAGEOS and LAGEOS II), it was shown [2] that the precession was only 20 % of the level predicted by the theory.

Gravimagnetic effect can be detected not only by the precession of gyroscopes or "rotating frame", but also for deceleration or acceleration of the satellite depending on the direction of the force lines of the gravitational field and the direction of motion of gravitating bodies. Seems anomalies in the movement of the "Pioneers" in their acceleration or deceleration depending on the position in respect of gravitating bodies are also a consequence of gravimagnetic interaction [3].

In this work the effect of gravimagnetism is considered on the example of anomalously high speed braking satellites of the moon and the laws of planetary and satellite distances, which, as it turns out, is also related to gravimagnetism through the rotation parameters central bodies.

2. Gravimagnetic power

Continuing the analogy with electrodynamics, braking force when interacting gravitating bodies can be expressed by the formula similar to the known electrodynamics equation of the Lorentz force:

fgm = (v/C)²(GMm/r²)Sin α, (1)

Where f is the force gravimagnetic interaction of bodies with masses M and m, remote distance r squared and moving relative to each other with velocity v in the direction at an angle α to the intensity vector gravimagnetic field, G is a gravitational constant and C is a constant with the dimension of velocity cm/sec. This will Illustrate scheme, see 1 a and b.

Fig.1. Scheme of occurrence gravimagnetic forces: (a) a body with mass m, moving with velocity v in a gravitational field G, generates gravimagnetic field intensity H and the force f; (b) gravimagnetic force f (perpendicular to the plane of the drawing up) has a maximum value when α2 = 90° and sinα = 1, the reduction of the angle α leads to a decrease in f, if α = 0 the force f is also zero.

Body m moves in a gravitational field G with velocity v at right angles to the power lines, Fig. 1a. The movement body m causes gravimagnetic field intensity H, the vector of which is directed normal to the vector of gravitational field strength G and the direction of body motion v. In this case, the moving body m will act normal to the direction of motion and the vector gravimagnetic tension braking force f. The magnitude of this force depends on the angle between the motion direction and the intensity vector gravimagnetic field H, see Fig.1 b. At α = 90° Sinα = 1, and the force f has a maximum value. When decreasing α below 90° decreases f and when α = 0 the braking gravimagnetic force disappears. The body moves in gravimagnetic field without resistance and energy consumption.

To confirm advanced assumptions gravimagnetic braking bodies consider for example, at motion of satellites of the moon.

3. Gravimagnetic braking satellites of the moon

Starting with the first orbital flight of a satellite of the moon "Luna-10" [4, 5], which was launched on 3 April 1966, it became clear that the lunar satellites have abnormally high acceleration and the duration of their existence on the orbit is limited. Of all possible causes inhibition: perturbations due to the influence of the Sun and the Earth, the uneven distribution of mass, the presence of the moon, though very thin atmosphere, the impact of the solar wind – focused [6] non spherical shape of the moon. It was shown that perturbations caused by the non centric gravitational field of the Moon is 5-6 times larger than the perturbations due to the Earth's gravitation, and the latter exceeded the solar 180 times.

The main reason for the occurrence of braking forces of the moon satellites may not be the uneven mass distribution, in particular the no spherical character of the Moon. Any algorithm for calculating the impact of uneven distribution of mass, the result depends on the mass of the satellite. The larger the mass, there is stronger interaction and the less the lifetime of satellites in orbit.

However, the available data do not support this conclusion. For example, the satellite Kaguya" had a lot 2371 kg, and the duration of his stay in orbit amounted to 539 days, while the lunar Prospector", having mass 158 kg, ceased to exist after 182 days. As will be shown below, the deceleration time of the Moon satellites does not depend on their mass.

The scheme gravimagnetic braking of the moon satellites is shown in Fig. 2. A satellite with mass m moves with velocity v, traversing radially spaced the force lines of the gravitational field G. The direction of the intensity vector occurring due to the motion of the satellite is perpendicular to the plane of the figure upwards. A satellite is braking by force f that causes the decrease of the orbital distances. By analogy with electrodynamics braking is accompanied by the gravitational radiation at a rate equal to the constant C in equation (1).

Fig. 2. Scheme gravimagnetic braking the lunar satellite: a satellite with mass m moves with velocity v, traversing radially spaced force lines G of the Moon gravitational field (M); the direction of the intensity vector gravimagnetic field arising due to the motion of the satellite perpendicular to the plane of the drawing up; a satellite is retarding force f that causes the decrease of the orbital distance.

Braking force satellite f in addition to equation 1 can be expressed by the equation of momentum:

ft = m(v₂ – v₁), (2)

where m is the satellite mass, t is the time of braking, v₁ and v₂ are the velocities before and after braking. Combining equations (1) and (2) obtain a convenient expression for calculating the time of flight of the satellite:

t = (C/GM)²r³(v₂ – v₁), (3)

where t is the time of flight, C is a constant having the dimension of velocity cm/s, G is the gravitational constant 6,67.10⁻⁸ cm3/G2, M is the mass of the Moon 0,735.1026 g, r – average orbital distance (the semi major axis) at the beginning of the flight, v₁ and v₂ are the initial and final orbital velocity, calculated at an average orbital distance.

Returning to the question of the effect of aspheric of the moon on the braking of its satellites, note that in equation (3) expressing the time of flight the satellites is no their mass. This confirms the previously made conclusion about the independence of the flight time from the mass of the satellite.

The constant C in equations (1) and (2) if you follow the accepted analogy with electrodynamics, by definition, is the speed of gravitational radiation. Thus, equation (3) can be used to calculate dynamic gravitational constant, i.e. the velocity of propagation of gravitational waves.

The constancy of the constants when calculating for different satellites will confirm the correctness of the methodological approach. Below is data for the calculation of the constants for the evolution of the orbits of the fife satellites of the Moon, including the Soviet satellite Luna-10", American satellite "the lunar Prospector", a satellite of the European space Agency's Smart-1", as well as Japanese and Indian satellites "Kaguya" and "chandrayan-1.

Consider the launch and flight of Sputnik "Luna-10". First, "Luna-10" was put into orbit an artificial satellite of the Earth. Then, using the upper stage, the speed of the station was reduced to 10.9 km/s. At that speed, the duration of the flight to the Moon was slightly less than three and a half days.

Then was the correction of the trajectory, after which the station entered the sphere of gravitational influence of the Moon.

At the final stage of the flight (800 km from the Moon) station has been previously appropriately focused and calculated point remote from the surface of the moon for 1000 km was included braking engine unit and the speed was reduced from 2.1 to 1.25 km/s, which provided the transfer station under the action of the attraction of the Moon with the span of the trajectory on selenocentric orbit with the following parameters: the greatest distance from the surface of the Moon – 1017 km (apocenter 2,755.108 cm); smallest – 350 km (pericenter putting on 2,088.108 cm); the average distance (the semimajor axis) – 2,422.108 cm; average orbital speed – 1,4229.105 cm/s; period of revolution around the moon – 2 hours 58 minutes 15 seconds; the angle of inclination of the satellite's orbit to the plane of the lunar equator – 71° 54. The mass of the spacecraft after separation from the booster was 1582 kg, the mass of the lunar satellite 240 kg

Artificial satellite of the Moon "Luna-10" there were active 56 days (0,0484.108 (s) having 460 revolutions around the Moon. After the batteries have been depleted, the relationship was terminated on May 30, 1966. Orbit at this time had parameters: minimum destruction of 378 km (pericenter 2,116.108 cm), the greatest destruction of 985 km (apocenter 2,723.108 cm and an inclination of 72.2 degrees. The average distance (the semi major axis) – 2,420.108 cm. Average orbital speed – 1,4235.105 cm/s.

Substituting the given data into the formula (3), find the value of the constant C = 3,694.10⁸ cm/s Calculated data are presented in Table 1. Perform similar calculations for other travelers of the Moon.

Table 1. The calculation of the duration of the flight, the constants C and braking force to the satellites of the Moon.

Accordingly, the orbital velocity at the beginning of the highlighted portion of the orbit v₁ = 1,665.10⁵ cm/s and at the moment of falling v₂ = 1,680.10⁵ cm/s Substituting the above values in the formula 3, we get the value of the constants C = 2,25.108 cm/s, that is close in order of magnitude to the value of the constants calculated for the satellite "Luna-10. The satellite of the moon, Smart-1 (Smart-1: the acronym for Small Mission for Advanced Research in Technology) launched by the European space Agency September 30, 2003 [8]. Initially, it was launched into an elliptical low earth orbit typical of telecommunication satellites with the help of the rocket Ariane-5. Then the output on the lunar orbit was carried out using a low-power (thrust force of 0.07 N) ion propulsion and lasted 16 months.

After moving into the area of the gravity of the Moon and the braking propulsion system on November 11, 2004 "Smart-1" has been translated into lunar orbit. The mass of the satellite 367 kg After number of maneuvers in the period from 28 February to July 18, 2005 the satellite was in free flight, that is, without the inclusion of the propulsion system. The orbital parameters at the beginning of this period: apocenter 4,6182.10⁸ cm and the pericenter 2,2087.10⁸ cm. The average distance (the semi major axis) 3,4134.10⁸ cm After a flight during 0,121.10⁸s apocenter decreased to 4,4957.108 cm, and the pericenter increased to 2,3493.10⁸ cm. The average distance decreased to 3,4025.10⁸ cm.

Orbital speed at the beginning and end of the free flight accordingly was 1,1984.10⁵ and 1,2004.10⁸ cm/s Substituting the obtained values of the average distance in the beginning of the period of free flight and orbital velocity at the beginning and end of the flight in the formula 1, we get the value of the constant C = 1,91.108 cm/s, which is close enough to the values previously given for satellites "Luna-10" (3,69.10⁸ cm/s) and the lunar Prospector" (2,25.10⁸ cm/s).

Japanese satellite of the Moon "Kaguya" was launched on 14 September 2007 with the Japanese Baikonur Tanegasima using booster h-2A (H-2A) [9]. The mass of the satellite 3000 kg. To the orbit of the moon it was only appear on 4 October 2007. After separation of the two auxiliary satellites, test equipment and instruments basic core ("Main orbiter") mass 2 27 1kg December 2007 began their regular observations on polar circular orbit with altitude of 100 km (the distance from the center of 1,838.10⁸ cm, orbital speed 1,6332.10⁵ cm/s).

The time of the flight without the inclusion of the propulsion system lasted until June 11, 2009, that is 0,466.10⁸ s. At the point of activation of the brake motor installation altitude was 27.8 km (the distance from the center of 1,776.10⁸ cm), which corresponds to the orbital velocity 1,6661.10⁵ m/s. Then, after 6 minutes the connection with the satellite was lost. Substituting the values of change of orbital parameters in the formula 1, we get the value of the constant C = 2,34.10⁸ cm/s, very close to the values previously calculated for other satellites.

Indian space research organization (ISRO,) reported [10] about the launch of 22 October 2008 on a circumlunar orbit of his device

"Chandrayan-1 using developed in Indian rocket PSLV–XL (PSLV – Polar Satellite Launch Vehicle from Baikonur Satish Dhawan. Starting weight station was 1380 kg, weight station in lunar orbit – 523 kg.

After a series of maneuvers November 4, the station went on the flight path to the Moon and on 8 November reached the environs of the Moon, where at a distance of 500 km from the surface was included brake motor, resulting in the station moved to a transitional circumlunar orbit resettlement 504 km, aposelene 7502 km and an orbital period of 11 hours. Then on 9 November, after adjustment of the pericenter of the orbit was lowered to 200 km. On November 13, the station was transferred to the circular working circumlunar orbit with altitude of 100 km (1,838.10⁸ cm from the center of the Moon), a cycle time of 120 min, the orbital speed 1,6332.10⁵ cm/s.

On August 29, 2009 ISRO announced that radio contact with the satellite was lost. By the time of the loss of communication with the satellite, it stayed in orbit 312 days (0,27.10⁸ (s) and managed to make a 3400 revolutions around the Moon.

Indian space research organization claims that her device will be in lunar orbit for another 1000 days. The lack of data on the orbital parameters after braking satellite Chandrayaan-1 does not allow the calculation of the constant C. However, determining the average value for other satellites, using equation (3) to confirm or refine the prediction of the lifetime of the satellite "Chandrayan-1.

The average value of the constant C it is advisable to calculate on three.satellites: "the lunar Prospector", "Smart-1" and "Kaguya". It is of 2.16.10⁸ cm/s. The large deviation of the satellite is "the Moon-10" – 3,690.10⁸ cm/s is associated with significant orbital eccentricity at which the intersection of the gravity-magnetic power lines occurs at small angles and braking force in accordance with equation (1) is small. Therefore, the estimated flight time is significantly less than the actual, since the calculation was made according to the formula (3), in which the angle α was not taken into account.

With regard to satellite "Chandrayan-1, the calculation showed that the total time spent in orbit until the fall on the surface of the Moon is 644 days including 332 days after loss of communication with the satellite.

The deviations of the estimated time from the actual for other satellites are given in table 1. In the case of a satellite, the lunar Prospector" observed the coincidence of two values: 0.157.10⁸ and 0,153.10⁸ C. For "Smart-1" rated value is 12.5 % higher than the actual, for the "Kaguya" 15 % below the actual time of flight of the satellite. This coincidence of the calculated and observational data confirms the correctness of the made assumptions about the braking satellites of the moon due to gravimagnetic forces.

4. The influence of gravimagnetism on planetary and satellite distance

Let us consider the problem of the connection between phenomena gravimagnetism with the regularity of planetary and satellite orbital distances. Here it is appropriate to remind once again about the ideas of M. Faraday, who introduced the concept of the gravitational field, managing the planet in orbit. “The sun generates a field around itself, and the planets and other celestial bodies feel the influence of the field and behave accordingly."

Unlike the Moon, the Earth has its own rotation around its axis. This rotation may distort the lines of tension from Sinα = 1 to Sinα = 0, that is, braking force in a rotating central bodies can have a very small value.

It can be assumed that the rotation of the Earth causes deformation of the surrounding gravitational field, and this oscillatory motion, in which are formed of concentric layers with different orientation vector gravimagnetic tension. When the orientation is close to concentric (Sinα ≈ 0) the motion is without braking and energy consumption, i.e. elite or permitted orbits. If the orientation of the vector gravimagnetic tension is close to radial, as in the case of the Moon, the braking is happened and the satellite moves to the bottom of the orbit lying with less potential energy.

In some works [11, 12] it is shown that planetary and satellite orbital distance r is expressed by the equation similar to equation Bohr quantization of orbits in the atom:

r = n²k, (4)

where n is an integer (quantum) number, k is a constant having a constant value for the planetary and each satellite system.

The k values calculated for planetary and satellite systems, are presented in table 2. For different systems, while maintaining consistency within the system, the value of k varies within wide limits [13]. For the planetary system it is 6280.10⁸ cm, and the smallest satellite system Mars 1,25.10⁸ cm, there are 5 000 times smaller.

Seemed interesting to find such a mathematical model, which would be in the same equation was combined planetary and satellite systems. In this respect fruitful was the idea expressed by H. Alfvén [14], that “the emergence of an ordered system of secondary bodies around the primary body – whether it be the Sun or a planet, definitely depends on two parameters initial body: its mass and speed"… It has been shown [13] that when the normalization constant k in the complex, representing the square root of the product of the mass of the central body for the period of its rotation (MT)of 0.5, the result is a constant value, see table 2. If the constant k is changed for the considered systems within 3.5 decimal orders of magnitude, normalized by k/(MT)0.5 value saves the apparent constancy, rather varies from 0.95.10⁻⁸ to 1.66.10⁻⁸

Thus, in a mathematical model expressing the regularity of planetary and satellite distances should include the mass of the central body and the period of its rotation, two factors (mass movement) determining the occurrence of gravimagnetic forces in the system.

Further, in the synthesis equation, it seemed natural, should include the gravitational constant G. By a large number of trial calculations, it was found that equation (mathematical model) that combines planetary and satellite systems, is the expression:

r = n²(GMT/C)0.5, (5)

where n is the number of whole (quantum) numbers, C is a constant having the dimension of velocity, cm/s, see table 2.

Table 2. The values of the constants k and C

Consider in more detail and compare the constants C, included in gravimagnetic equation (1), (3) and equation (5). In both cases, the constants have the same dimension cm/s and approximate nearer value. The average value of the constants included in equations (3) and (5) respectively of 2.16.10⁸ and 4,01.108 cm/s, We can assume that we are talking about the same dynamic gravitational constant, similar to the electrodynamics constant, i.e. the speed of light.

The overstated value of a constant, calculated according to equation (5) is connected with the incorrect definition of the period of rotation of the gas-liquid

central bodies for example, the rotation period of the Sun at the equator is equal to 25 days, and at high latitudes 33 days. It is clear that the inner layers and the entire body as a whole rotate at a higher speed. In accordance with the formula (5) this will lead to a lower constant value C.

The most accurate values are constants C values calculated for solid planets Earth and Mars, the period of rotation of which is determined accurately. The average value of the constants for these two planets is equal 2,48.10⁸ cm/s, which almost coincides with the average value of the constant C = 2,16.108 cm/s, calculated by the formula (3) for satellites "the lunar Prospector", "Smart-1" and "Kaguya".

Thus, with a high degree of reliability can be argued that the constant C in equations (1), (3) and (5) are identical and express the same process gravimagnetic interaction of masses. In the first case the interaction is not rotating Moon and rotating around it satellites, in the second rotating central bodies (the Sun, planets) and their orbital bodies.

The results about gravimagnetism braking when the orbiting bodies driving around a non-rotating Central body – the Moon are in good agreement with the known data that celestial body which does not have its own rotation around its axis (Mercury) or low speed (Venus), do not have satellites. In contrast, satellites of rotating central bodies are braking poorly, especially when moving in orbits with a maximum shear strain of the gravitational field and, accordingly, with a peak concentric orientation of gravimagnetic power lines.

The bulk wave maximum deformation occurs at the equator and extends then in the equatorial plane. Captured satellites quickly decelerate and fall on the Central body. This explains the predominant position of the planets and satellites in the equatorial plane of a rotating central body. Here the greatest shear deformation and concentric orientation gravimagnetic field and the least resistance to movement of the orbital phone. For the same reason it is impossible the existence of polar satellites. Their orbit crosses the force lines at an angle close to 90°. Due to the high gravitational resistance, they quickly decelerate and fall.

A satisfactory explanation also receives the same direction of orbital motion with the rotation of the central bodies and synchronous rotation of the planets and the Sun.

Conclusions

1. The assessment of the gravity-magnetic effect by braking of the satellites of the Moon "Luna-10", "the lunar Prospector", "Smart-1", "Kaguya" and "Chandrayan-1 is given. For the quantitative description of effect used equation gravimagnetic braking similar electrodynamics equation of the Lorentz force and the equation of momentum. The constant part of the equation braking, has a value of C = 2,16.10⁸ cm/s. Estimated time flight of satellites on orbit "the lunar Prospector", "Smart-1" and "Kaguya" is different from the actual ± 14 %.

2. On the basis of gravimagnetism braking orbital bodies is obtained the empirical formula, which expresses the dependence of the orbital planetary and satellite distances from a number of whole (quantum) numbers, mass and period of rotation of the central body. The formula is a constant having the dimension of velocity, equal for the solid planets C = 2,48.10⁸ cm/s. Based on the mapping of constants in braking equation and in the formula of orbital distances the conclusion was made about the identity of these constants.

Литература

1. In Search of Gravitomagnetism, NASA's Gravity Probe B, http://science.nasa.gov/science-news/science-at-nasa/2004/19apr_gravitomagnetism/

2. W. Clifford, Washington University, The Search for Frame-Dragging, http://www.phys.lsu.edu/mog/mog10/node9.html3.

3. J.D. Anderson, Ph.A. Laing, E.L. Lau, A.S. Liu, M.M. Nieto, S.G. Turyshev, Indication, from Pioneer 10/11, Galileo, and Ulysses Data, of an Apparent Anomalous, Weak, Long-Range Acceleration, Phys. Rev. Lett. 81, 2858–2861 (1998).

4. Message TASS. A satellite in orbit around the moon. The first scientific results of the flight of the Moon-10, "Pravda", 100 No., 17417, Moscow, April 1966.

5. S. N. Kirpichnikov, Calculation of the motion of artificial satellites of the moon with regard to the radiation pressure of the Sun and Moon, Astronomical journal, so 45, No. 3, S. 675–685 (1968).

6. M. L. Lidov, M. C. Yarskaja, Integrable cases in the problem of the evolution of satellite orbits under the joint influence of the external body and decentralist field of the planet. Space research. 1974. T 12. No. 2. S. 155.

7. «Lunar Prospector»: http://nssdc.gsfc.nasa.gov/planetary/lunarprosp.html

8. «SMART-1»: http://www.esa.int/esaMI/SMART-1/index.html

9. «KAGUYA»: http://www.kaguya.jaxa.jp/index_e.htm

10. «Chandrayaan-1»: http://www.isro.org/chandrayaan/htmls/home.htm

11. A.M. Chechelnitsky, Horizons and new possibilities for astronautical systems megaspectroscopy, Adv. Space Res.,2002, v.29, № 12, p. 1917–1922.

12. F. A. Gareev, Geometric quantization of micro and macro systems. Planetary-wave structure of hadronic resonances, the Message of the joint Institute for nuclear research, Dubna, 1996, S. 296–456.

13. A. So Serkov, Space research,2009, T. 47, No. 4, S. 379.

14. H. Alfvén, H., Arrenius, Evolution of the Solar system, M., Ed. Mir, 1979, S. 14–15.

Chapter 3. The dependence of planetary and satellite distances from the speed rotation of the central bodies

Summary

In Chapter an attempt is made to determine in the equation of planetary and satellite distances the universal constant, which would unite planetary and satellite systems and allow with sufficient accuracy to calculate the elite orbit. To the solution of the problem has been approached through the use of complex representing the square root of the product of the mass of the central body of the system and the period of its rotation.

1. Introduction

The analysis of the dynamic structure of the Solar system, made in the work of B. I. Rabinovich [1], has brought to the fore the problem of stability of periodic motions in systems with commensurate frequencies, which are closely linked to the existence of elite orbits in planetary and satellite systems. A priority issue in this problem is the establishment of the laws of planetary and satellite distances. The author prefers the proposal made earlier by A. M. Chechelnitsky [2], according to which the radii of the elite orbits of planets and satellites Rn determent by quartos law:

Rn = k n², (1)

where k is a constant and n is an integer number that determines the position of the elite orbit.

The proposed law, in contrast to empirical rules Titius-Bode [3] more accurately describes the dependence of planetary and satellite distances for all systems. In addition, it allows detecting the quantum properties of the gravitational planetary systems.

On this occasion, F. A. Gareev writes [4]: "In the framework of the considered model it is possible to conclude that in the Solar system quanthouse sectorial and orbital velocity and orbital distances of the planets and their satellites". The author on the basis of the equation (1) for planetary and satellite systems received constant (h/mG) is the quantum double sectored speed. The value of this constant for the different systems is presented in table 1. According to the author's constant satisfactorily within ±5 % remains constant for the same system. However, between the difference reaches 5 decimal orders of magnitude.

Table 1. The values of the constants (a/mG) for planetary and satellite systems and its relationship with the rotation parameters of the Central bodies systems.

This article in the framework of representations arising from law formulated in equation (1), an attempt is made to establish a universal constant, which would unite planetary and satellite systems. When this work has taken into account the statement of Alven H. [5], "the emergence of an ordered system of secondary bodies around the primary body – whether it be the Sun or a planet, definitely depends on two parameters initial body: its mass and speed".

2. Orbital distance for satellite systems

To establish the relationship between constant k and rotation parameters of the central bodies of planetary and satellite systems were calculated constants for planetary systems, and systems of Jupiter, Saturn, Uranus and Neptune. Table 2 shows the calculated values of k, for the planetary system, calculated by equation (1). The values of n for the calculation were taken from the work of F A. Gareev. The obtained average value of the constants k= 6,28∙10¹¹ cm with standard deviation of 0.49∙10¹¹ cm. Also the dependence of planetary distances from the squares of integers represented in Fig. 1, which confirms the correctness of the values of the integer n.

Fig.1. The dependence of the orbital distances rn in the planetary system from squares of integers n

Table 2. The values of the constant k in equation (1) for the planetary system.

Similar calculations were done for the satellite systems of Jupiter, Saturn, Uranus and Neptune. In table 3 and Fig.2 shows the data for the satellite systems of Jupiter. The system has 63 satellites. Many rely on close orbits and were therefore combined into groups. For example, in orbits with an average distance 23813∙108 cm turns 28 satellites. All of them are given one quantum number 29.

In the system of Jupiter are 32 elite orbits, which are comparable with the planetary system, where they are 30. The constancy of the constants k observed satisfactorily for all orbits except the first two quantum numbers 2 and 3. The average value of the constants k = 28,6∙10⁸ cm with standard deviation of 0.3∙108 cm excluding the first two orbits, deviations from which are outside the statistical sample. The dependence of the orbital distances in the satellite system of Jupiter is given also in Fig.2.

Graph expressing this dependence was used to determine the values of the quantum numbers n. All experimental points, expressing the satellite or group of satellites with the same orbital distances satisfactorily fit to a straight line, as required by equation (1). Each orbital distance on the ordinate corresponds to the value of n²

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