4. INITIAL DATABASE ON QUASARS AND TRANSFORMATION OF COORDINATES |
The database on 23760 quasars was used for our investigation, in which two angular coordinates (Q, j) and redshift of radiation spectrum (z) for each quasar are presented [41]. The fragment of an initial database is presented in Tab. 1.
Distance to each quasar in accordance with redshift was determined by formula
where is the constant typical for the Universe approximately equal in m (see item 3). is assigned for calculating of distances up to quasars and for build-up of figures. The formula (1) is derived out of the distribution law of light at a large distance
It is the very important formula. We presented two derivation of this formula in [42] (Appendix III and Appendix IV). Calculation of quasars coordinates in spatial spherical coordinates is carried out by the formulas (in radians; the corner is measured from North Pole)
where |
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Table 1: Fragment of the initial database | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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(5) |
Calculation of quasars coordinates in spatial cartesian coordinates is carried out by the formulas (in )
(6) | |
(7) | |
(8) |
In further, the database was sorted for spherical coordinates by increment of distance up to quasars and for cartesian coordinates by increment of coordinate Z (for convenience of investigations).
The archives with the calculated databases can be downloaded here: for spherical coordinates q-sphera.zip (370 kb), for cartesian coordinates q-decart.zip (425 kb).
The preliminary investigations have shown that the observed quasars locate on the coelosphere non-uniformly. Especially it concerns those places where North Pole, South Pole and the oceans are located (Fig. 1).
It is interlinked not to nonuniformity of quasars allocation in the Universe, and with nonuniformity of presence on a surface of the Earth of observation instrument behind them.
From here is stream the features in investigation of conformitys this allocation. For the analysis it is necessary to choose the most explored sites of the sky.