THE CALCULATION OF THE ABERRATED CORRECTION IN THE PROCESS OF THE EARTH ARTIFICIAL SATELLITES� LASER LOCATING

G.I.Sukhorukov

Bratsk State University

40, Makarenko Street

Bratsk, 665709

RUSSIA

e-mail: nil_mu@brstu.ru

General Assembly of International Astronomic Union recommended to use the following values: the distance from the Sun to the centre of the Galaxy R₀ =8,5 kps, the Sun�s speed of rotation relative to the Galaxy�s centre V₀ = 250km/s [2]. Since

In order to calculate the aberrated correction precisely, it is necessary to conceive the Galaxy�s structure  clearly. In our work [1] we illustrated the fact that all outer space, including our Galaxy, is filled with ether. As many other galaxies, our Galaxy is spiral. The ether and the stars form a whirl. In 1985 the

 the Sun rotates together with the ether surrounding it, in other words, the Sun�s speed relative to the ether equals zero, the speed V₀ doesn�t affect the aberrated correction.   

As a result of carrying out the measuring of the star radial velocity, it was stated that the Sun moves at a speed of 20 km/s relative to closely set stars in the direction of Hercules Constellation [3]. In fact, the Sun doesn�t move relative to closely set stars. It spins with the stars at the same angular velocity relative to the Galaxy�s centre.

The above-mentioned phenomenon in the Galaxy can be compared with the phenomenon in P. Sagnac�s experiment [1]. The light, spreading in the spinning Galaxy, transfers oscillatory movements to the particles of the ether. The particles oscillate in the plane, that is perpendicular to the direction of the ray of light. At the same time the particles of the ether are affected by centrifugal and Coriolis forces. Centrifugal forces don�t affect the velocity of light. Coriolis forces transfer the oscillating particles the acceleration in the direction that is perpendicular to those oscillations and reverse to the direction of the Galaxy�s rotation. Influenced by Coriolis forces the velocity of light, where the light is spreading in the direction of the Galaxy�s rotation, decreases, but the velocity of light, where the light is spreading in a reverse direction, increases.

            The particles acquire the acceleration that can be calculated by a formula [1]:

                                                                 ,         

where C�  velocity of light,  -  angular velocity of the Galaxy�s rotation. The velocity of light decreases or increases according to

where      - a period of time, that the light going from a star to the Sun takes, - the distance from the Sun to the closely set stars. Taking into consideration all above-mentioned values we get

.

                Using the formula we can find

It seems that some of the stars move away from the Sun while the others approach to it. At present this illusion is considered to be the Sun�s motion at a speed of 20 km/c relative to closely set stars [3]. The seeming Sun�s motion doesn�t affect the aberrated correction. Thus, the aberrated correction depends only on a satellite orbital motion around the Earth and the Earth�s orbital motion around the Sun.

To simplify the task, we suggest to handle some cases when the satellite orbits are circular and the planes of their orbits coincide with the Earth�s orbit plane spinning around the Sun. The Earth�s atmosphere similar to other planets� atmospheres entrains the ether [1]. The Sun and other stars are static relative to the ether, while the planets with their atmospheres move through it. The laser beam reflected from the satellite could go along a telescope axis only if the Earth and the satellite were static relative to the ether. As a result of the motion of the satellite, the reflected beam deviated from the optic telescope axis at an angle of . The angle  will take its maximum value at that moment when the satellite comes exactly above the observatory

where V�- the speed of a satellite, � � the velocity of light.

            The scientists of the Crimean Laser Observatory, Ukraine, defined the Earth�s motion relative to the ether [4]. Now the aberrated correction for the above-mentioned cases should be calculated according to the formula

where - velocity of the Earth�s motion along the orbit. The aberrated correction will have the minimum value if the Earth and the satellite move in the same direction and the maximum value if the earth and the satellite move in opposite directions. The results of the calculations of the aberrated corrections for the satellites moving at different heights h are shown in the table.

The rate of the satellite movement was defined according to the formula          

where - the Earth�s radius, gravitational constant, � � the Earth�s mass. According to [5] =6378,16 ��., but according to [1] . The results of the calculations conform to the results of the experiments [4].  

It is possible to read the book [1] on the site: http://Suhorucov.narod.ru

Scientific Literature

1. Sukhorukov G.I., Sukhorukov V.I., Sukhorukov E.G., Sukhorukov R.G. The Real World of Physics without Paradoxies, Bratsk, Bratsk State Technical University, 2001
2. Encyclopedia, Volume 8, Astronomy � Moscow �Avanta�, 1997
3. Popov P.I., Vorontsov-Velyaminov G.A, Kunitskij P. V., Astronomy, Moscow, �Prosveshenij�, 1967
4. Ignatenko U.V., Tryapitsin V.N., Ignatenko I.U. The Analisys of the Rapid Aberration in the Process of the Earth�s Artificial Satellite Laser Location. The Problems of Control and Information Science, 2004, p. 103-106. Ukraine.
5. Astrocalendar: Bakulina P.I., Moscow, 1973

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